ÀÛ¿ë¼Ò ¼Ò½Ä No.511 (2016.11.28)



¿¬»ç:  Cl¢¥ement Coine

¼Ò¼Ó:  University of Franche-Comte

Á¦¸ñ:  S^1 -boundedness of triple operator integrals

ÀϽÃ:  2016³â 11¿ù 30ÀÏ(¼ö) 16:00~16:50

Àå¼Ò: 129µ¿ 301È£

ÃÊ·Ï: ÆÄÀÏ÷ºÎ



¿¬»ç:  Safoura Zadeh

¼Ò¼Ó:  Universite de Franche-Comte

Á¦¸ñ:  On isomorphisms of Beurling algebras

ÀϽÃ:  2016³â 11¿ù 30ÀÏ(¼ö) 17:00~17:50

Àå¼Ò: 129µ¿ 301È£

ÃÊ·Ï: ÆÄÀÏ÷ºÎ



¡Ø 11¿ù 30ÀÏ ¼¼¹Ì³ª ÈÄ¿¡ ±³³»¿¡¼­ Á¾°­È¸½ÄÀÌ ÀÖÀ» ¿¹Á¤ÀÔ´Ï´Ù.

¡Ø 2016³âµµ °Ü¿ïÇб³°¡ 12¿ù 20ÀÏ~23ÀÏ¿¡ ÁøÇàµÉ ¿¹Á¤ÀÔ´Ï´Ù.

¡Ø ¼­¿ï´ë ÀÛ¿ë¼Ò ¼¼¹Ì³ª ȨÆäÀÌÁö http://www.math.snu.ac.kr/~kye/seminar/





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ÀÛ¿ë¼Ò ¼Ò½Ä No.510 (2016.11.21.)



¿¬»ç: °­¼ö¶õ
¼Ò¼Ó: ¼º±Õ°ü´ëÇб³
Á¦¸ñ:  KMS states on C*-algebras associated to k-graphs (spatial realizations).
ÀϽÃ: 2016³â 11¿ù 23ÀÏ(¼ö) 17:00~18:00
Àå¼Ò: 129µ¿ 301È£

ÃÊ·Ï: Since the algebra of higher-rank graphs carries a gauge action of a higher-dimensional torus, there are many potential dynamics arising from different embeddings of the real line in the torus. In this talk, we discuss how we characterize KMS states of different dynamical systems. In particular we describe the KMS states at the critical inverse temperature that can be implemented by integrating vector states against a measure on a path space of the underlying graph.


¿¬»ç: Cl¢¥ement Coine 
ÀϽÃ: 11. 30 (¼ö)  16:00~16:50
Á¦¸ñ: S^1 -boundedness of triple operator integrals 

¿¬»ç: Safoura Zadeh 
ÀϽÃ: 11. 30 (¼ö) 17:00~17:50
Á¦¸ñ: On isomorphisms of Beurling algebras

¡Ø 11¿ù 30ÀÏ ¼¼¹Ì³ª ÈÄ¿¡ ±³³»¿¡¼­ Àú³á½Ä»ç°¡ ÀÖÀ» ¿¹Á¤ÀÔ´Ï´Ù. 

¡Ø 2016³âµµ °Ü¿ïÇб³°¡ 12¿ù 20ÀÏ~23ÀÏ¿¡ ÁøÇàµÉ ¿¹Á¤ÀÔ´Ï´Ù. 

¡Ø ¼­¿ï´ë ÀÛ¿ë¼Ò ¼¼¹Ì³ª ȨÆäÀÌÁö http://www.math.snu.ac.kr/~kye/seminar/

±×¸²ÀÔ´Ï´Ù.
¿øº» ±×¸²ÀÇ À̸§: DRW000019d8b5fa.bmp
¿øº» ±×¸²ÀÇ Å©±â: °¡·Î 1pixel, ¼¼·Î 1pixel


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ÀÛ¿ë¼Ò ¼Ò½Ä No.509 (2016.11.14)



¿¬»ç: °è½ÂÇõ

¼Ò¼Ó: ¼­¿ï´ëÇб³

Á¦¸ñ: The role of phases in detencting three qubit entanglement

ÀϽÃ: 2016³â 11¿ù 16ÀÏ(¼ö) 17:00~18:00

Àå¼Ò: 129µ¿ 301È£




¿¬»ç: °­¼ö¶õ 

ÀϽÃ: 11. 23 (¼ö)  17:00~18:00

Á¦¸ñ: TBA

 

¿¬»ç: Cl¢¥ement Coine 

ÀϽÃ: 11. 30 (¼ö)  16:00~16:50

Á¦¸ñ: S 1 -boundedness of triple operator integrals 


¿¬»ç: Safoura Zadeh 

ÀϽÃ: 11. 30 (¼ö) 17:00~17:50

Á¦¸ñ: On isomorphisms of Beurling algebras




¡Ø 11¿ù 30ÀÏ ¼¼¹Ì³ª ÈÄ¿¡ ±³³»¿¡¼­ Àú³á½Ä»ç°¡ ÀÖÀ» ¿¹Á¤ÀÔ´Ï´Ù. 

¡Ø 2016³âµµ °Ü¿ïÇб³°¡ 12¿ù 20ÀÏ~23ÀÏ¿¡ ÁøÇàµÉ ¿¹Á¤ÀÔ´Ï´Ù. 

¡Ø ¼­¿ï´ë ÀÛ¿ë¼Ò ¼¼¹Ì³ª ȨÆäÀÌÁö http://www.math.snu.ac.kr/~kye/seminar/

±×¸²ÀÔ´Ï´Ù.
¿øº» ±×¸²ÀÇ À̸§: DRW000019d8b5fc.bmp
¿øº» ±×¸²ÀÇ Å©±â: °¡·Î 1pixel, ¼¼·Î 1pixel


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ÀÛ¿ë¼Ò ¼Ò½Ä No.508 (2016.11.7)



¿¬»ç: ±è¼±È£

¼Ò¼Ó: ¼­°­´ëÇб³

Á¦¸ñ: Generalized Cuntz-Krieger algebras associated to the Cantor minimal subshift

ÀϽÃ: 2016³â 11¿ù 9ÀÏ(¼ö) 17:00~18:00

Àå¼Ò: 129µ¿ 301È£


ÃÊ·Ï:  Various classes of C*-algebras have been introduced in order to generalize Cuntz-Krieger algebras of topological Markov chains to arbitrary one-sided shift spaces. Among these, labeled graph C*-algebras and lambda-synchronizing lambda-graph C*-algebras are appropriate extensions connecting the irreducibility of shift spaces and the simplicity of C*-algebras. A recent result shows that the labeled graph C*-algebra of the Cantor minimal subshift is isomorphic to the crossed product C*-algebra. In this talk, we introduce a crossed product C*-algebras of a two sided shift space and generalized Cuntz-Krieger algebras of a one-sided shift space, and we investigate the similarity between two classes. 

 



¿¬»ç: °è½ÂÇõ

ÀϽÃ: 11. 16 (¼ö)  17:00~18:00

Á¦¸ñ: The role of phases in detencting three qubit entanglement



¿¬»ç: °­¼ö¶õ 

ÀϽÃ: 11. 23 (¼ö)  17:00~18:00

Á¦¸ñ: TBA



¿¬»ç: Cl¢¥ement Coine 

ÀϽÃ: 11. 30 (¼ö)  16:00~16:50

Á¦¸ñ: S 1 -boundedness of triple operator integrals

Á¦¸ñ: S 1 -boundedness of triple operator integrals


¿¬»ç: Safoura Zadeh 

ÀϽÃ: 11. 30 (¼ö) 17:00~17:50

Á¦¸ñ: On isomorphisms of Beurling algebras



¡Ø 11¿ù 30ÀÏ ¼¼¹Ì³ª ÈÄ¿¡ ±³³»¿¡¼­ Àú³á½Ä»ç°¡ ÀÖÀ» ¿¹Á¤ÀÔ´Ï´Ù. 

¡Ø 2016³âµµ °Ü¿ïÇб³°¡ 12¿ù 20ÀÏ~23ÀÏ¿¡ ÁøÇàµÉ ¿¹Á¤ÀÔ´Ï´Ù. 

¡Ø ¼­¿ï´ë ÀÛ¿ë¼Ò ¼¼¹Ì³ª ȨÆäÀÌÁö http://www.math.snu.ac.kr/~kye/seminar/

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ÀÛ¿ë¼Ò ¼Ò½Ä No.507 (2016.10.31)



¿¬»ç: ±èµ¿¿î

¼Ò¼Ó: ¼­¿ï´ëÇб³

Á¦¸ñ: Simple crossed products by coactions of compact quantum groups

ÀϽÃ: 2016³â 11¿ù 2ÀÏ(¼ö) 17:00~18:00

Àå¼Ò: 129µ¿ 301È£


ÃÊ·Ï:  The "canonical" coactions of compact quantum groups on the Cuntz algebras have been studied for some time with the focus on their fixed point algebras.

 In this talk, I'll guess their crossed products and illustrate how my previous work on coactions of Hopf C*-algebras on C*-correspondences can be used to get their simplicity when the compact quantum groups under consideration are R+ deformations of C(SU(2)) or C(SO(3)) in the sense of Banica, although this is probably well-known to some specialists.


¿¬»ç: ±è¼±È£

ÀϽÃ: 11. 9 (¼ö)

Á¦¸ñ: Generalized Cuntz-Krieger algebras associated to the Cantor minimal subshift



¡Ø À̹ø Çб⿡´Â »çÁ¤¿¡ ÀÇÇÏ¿© ¼¼¹Ì³ª¸¦ 17:00 ¿¡ ½ÃÀÛÇÕ´Ï´Ù.

¡Ø 2016³âµµ °Ü¿ïÇб³°¡ 12¿ù 20ÀÏ~23ÀÏ¿¡ ÁøÇàµÉ ¿¹Á¤ÀÔ´Ï´Ù.

¡Ø ¼­¿ï´ë ÀÛ¿ë¼Ò ¼¼¹Ì³ª ȨÆäÀÌÁö http://www.math.snu.ac.kr/~kye/seminar/


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ÀÛ¿ë¼Ò ¼Ò½Ä No.506 (2016.10.24)



¿¬»ç: ÀÌ¿µÁÖ

¼Ò¼Ó: Àü³²´ëÇб³

Á¦¸ñ: Algebraic properties of Toeplitz operators on the Dirichlet space

ÀϽÃ: 2016³â 10¿ù 26ÀÏ(¼ö) 17:00~18:00

Àå¼Ò: 129µ¿ 301È£


ÃÊ·Ï: We will consider Toeplitz operators on the Dirichlet space of the unit ball and discuss some algebraic properties

on the commuting problem, compact product problem and Coburn type theorem.




¿¬»ç: ±èµ¿¿î

ÀϽÃ: 11. 2 (¼ö)

Á¦¸ñ: Simple crossed products by coactions of compact quantum groups






¡Ø À̹ø Çб⿡´Â »çÁ¤¿¡ ÀÇÇÏ¿© ¼¼¹Ì³ª¸¦ 17:00 ¿¡ ½ÃÀÛÇÕ´Ï´Ù.

¡Ø 2016³âµµ °Ü¿ïÇб³°¡ 12¿ù 20ÀÏ~23ÀÏ¿¡ ÁøÇàµÉ ¿¹Á¤ÀÔ´Ï´Ù.

¡Ø ¼­¿ï´ë ÀÛ¿ë¼Ò ¼¼¹Ì³ª ȨÆäÀÌÁö http://www.math.snu.ac.kr/~kye/seminar/

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ÀÛ¿ë¼Ò ¼Ò½Ä No.505 (2016.10.17)




À̹ø ÁÖ´Â ¼­¿ï´ëÇп¡¼­ ¿­¸®´Â ´ëÇѼöÇÐȸ Á¤±â ÇмúȸÀÇ °ü°è·Î ¼¼¹Ì³ª¸¦ ½±´Ï´Ù.

ÇÔ¼öÇؼ®ÇÐ ¼¼¼ÇÀº Åä¿äÀÏ(22ÀÏ)°ú ÀÏ¿äÀÏ(23ÀÏ)¿ÀÀü¿¡ ¿­¸³´Ï´Ù. ¶ÇÇÑ,

Åä¿äÀÏ Àú³á¿¡´Â °£´ÜÇÑ Àú³á½Ä»ç°¡ ±³³»¿¡¼­ ÀÖÀ» ¿¹Á¤ÀÌ´Ï, ¸¹Àº Âü¼® ¹Ù¶ø´Ï´Ù.


¼¼ºÎÀÏÁ¤ ÂüÁ¶:  http://www.kms.or.kr/kms-70th/




¿¬»ç: ÀÌ¿µÁÖ 

ÀϽÃ: 10. 26 (¼ö) 

Á¦¸ñ: Algebraic properties of Toeplitz operators on the Dirichlet space




¿¬»ç: ±èµ¿¿î 

ÀϽÃ: 11. 2 (¼ö) 

Á¦¸ñ: Simple crossed products by coactions of compact quantum groups



 

¡Ø À̹ø Çб⿡´Â »çÁ¤¿¡ ÀÇÇÏ¿© ¼¼¹Ì³ª¸¦ 17:00 ¿¡ ½ÃÀÛÇÕ´Ï´Ù.

¡Ø 2016³âµµ °Ü¿ïÇб³°¡ 12¿ù 20ÀÏ~23ÀÏ¿¡ ÁøÇàµÉ ¿¹Á¤ÀÔ´Ï´Ù.

¡Ø 2016³âµµ °Ü¿ïÇб³°¡ 12¿ù 20ÀÏ~23ÀÏ¿¡ ÁøÇàµÉ ¿¹Á¤ÀÔ´Ï´Ù

¡Ø ¼­¿ï´ë ÀÛ¿ë¼Ò ¼¼¹Ì³ª ȨÆäÀÌÁö http://www.math.snu.ac.kr/~kye/seminar/

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ÀÛ¿ë¼Ò ¼Ò½Ä No.504 (2016.10.10)



¿¬»ç: ±èÇüÁØ

¼Ò¼Ó: ¼­¿ï´ëÇб³

Á¦¸ñ: Seminilpotent operators

ÀϽÃ: 2016³â 10¿ù 12ÀÏ(¼ö) 17:00~18:00

Àå¼Ò: 129µ¿ 301È£

ÃÊ·Ï: In this talk, we introduce the notion of seminilpotent operators which is a generalized version of quasinilpotent operators and apply it to the hyperinvariant subspace problem for operators having a part.



¿¬»ç: ÀÌ¿µÁÖ 

ÀϽÃ: 10. 26 (¼ö) 

Á¦¸ñ: Algebraic properties of Toeplitz operators on the Dirichlet space



¿¬»ç: ±èµ¿¿î 

ÀϽÃ: 11. 2 (¼ö) 

Á¦¸ñ: Simple crossed products by coactions of compact quantum groups



 

¡Ø À̹ø Çб⿡´Â »çÁ¤¿¡ ÀÇÇÏ¿© ¼¼¹Ì³ª¸¦ 17:00 ¿¡ ½ÃÀÛÇÕ´Ï´Ù.

¡Ø 2016³âµµ °Ü¿ïÇб³°¡ 12¿ù 20ÀÏ~23ÀÏ¿¡ ÁøÇàµÉ ¿¹Á¤ÀÔ´Ï´Ù.

¡Ø ¼­¿ï´ë ÀÛ¿ë¼Ò ¼¼¹Ì³ª ȨÆäÀÌÁö http://www.math.snu.ac.kr/~kye/seminar/



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ÀÛ¿ë¼Ò ¼Ò½Ä No.503 (2016.10.4)



¿¬»ç: ÀÓ¿ëµµ 

¼Ò¼Ó: ¼º±Õ°ü´ëÇб³

Á¦¸ñ: º¼·Ï¿øÃßÀÇ °æÀÌ·Î¿î ¼¼°è (The magical world of cones)

ÀϽÃ: 2016³â 10¿ù 5ÀÏ(¼ö) 17:00~18:00

Àå¼Ò: 129µ¿ 301È£


ÃÊ·Ï: ½Ç°è¼ö ¹Ù³ªÈå °ø°£ÀÇ º¼·Ï¿øÃß(convex cone)»óÀÇ Èú¹öÆ® »ç¿µ°Å¸®¿Í Ž½¼°Å¸® ±×¸®°í À̵éÀÇ ±âÇϱ¸Á¶ ¹× ÀÀ¿ë¼º¿¡ ´ëÇØ ¼Ò°³ÇÑ´Ù. Æ¯È÷, ¾çÀÇ Á¤ºÎÈ£ Çà·ÄµéÀÇ º¼·Ï¿øÃß¿Í À¯Å¬¸®µå Á¶´Ü´ë¼öÀÇ ´ëĪ¿øÃß»óÀÇ ¸®¸¸ ¹× Ž½¼ ±âÇÏ¿¡ ´ëÇÑ ¹öÄÚÆÛ Á¤¸®, Å«¼öÀÇ ¹ýÄ¢ ±×¸®°í īź ¹«°ÔÁß½ÉÀÇ ´ÜÁ¶¼º ³­Á¦ µî ºñ¼±Çü °ø°£»óÀÇ ÃÖ±Ù °á°ú¿Í ¹«ÇÑÂ÷¿ø ÀÛ¿ë¼Ò ¹× Á¶¸£´Ü ´ë¼ö»óÀ¸·ÎÀÇ È®À强¿¡ ´ëÇÑ ³­Á¦µéÀ» ¼Ò°³ÇÑ´Ù.

 



¿¬»ç: ±èÇüÁØ 

ÀϽÃ: 10. 12 (¼ö) 

Á¦¸ñ: Seminilpotent operators



¿¬»ç: ÀÌ¿µÁÖ (Àü³²´ë)

ÀϽÃ: 10. 26 (¼ö) 

Á¦¸ñ: Algebraic properties of Toeplitz operators on the Dirichlet space



¿¬»ç: ±èµ¿¿î 

ÀϽÃ: 11. 2 (¼ö) 

Á¦¸ñ: Simple crossed products by coactions of compact quantum groups



 

¡Ø À̹ø Çб⿡´Â »çÁ¤¿¡ ÀÇÇÏ¿© ¼¼¹Ì³ª¸¦ 17:00 ¿¡ ½ÃÀÛÇÕ´Ï´Ù.

¡Ø ¼­¿ï´ë ÀÛ¿ë¼Ò ¼¼¹Ì³ª ȨÆäÀÌÁö http://www.math.snu.ac.kr/~kye/seminar/

±×¸²ÀÔ´Ï´Ù.
¿øº» ±×¸²ÀÇ À̸§: DRW000019d8b5fe.bmp
¿øº» ±×¸²ÀÇ Å©±â: °¡·Î 1pixel, ¼¼·Î 1pixel


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ÀÛ¿ë¼Ò ¼Ò½Ä No.502 (2016.9.26)



¿¬»ç: °­ÀºÁö

¼Ò¼Ó: ¼­¿ï´ëÇб³

Á¦¸ñ: Pure infiniteness of labeled graph C*-algebras

ÀϽÃ: 2016³â 9¿ù 28ÀÏ(¼ö) 16:30~18:00

Àå¼Ò: 129µ¿ 301È£



¿¬»ç: ÀÓ¿ëµµ 

ÀϽÃ: 2016. 10 .5(¼ö) 

Á¦¸ñ: º¼·Ï¿øÃßÀÇ °æÀÌ·Î¿î ¼¼°è (The magical world of cones)



¿¬»ç: ±èÇüÁØ 

ÀϽÃ: 2016. 10. 12(¼ö) 

Á¦¸ñ: Seminilpotent operators




 

¡Ø À̹ø Çб⿡´Â »çÁ¤¿¡ ÀÇÇÏ¿© ¼¼¹Ì³ª¸¦ 16:30 ¿¡ ½ÃÀÛÇÕ´Ï´Ù.

¡Ø ¼­¿ï´ë ÀÛ¿ë¼Ò ¼¼¹Ì³ª ȨÆäÀÌÁö http://www.math.snu.ac.kr/~kye/seminar/


¡Ø ¼­¿ï´ë ÀÛ¿ë¼Ò ¼¼¹Ì³ª ȨÆäÀÌÁö http://www.math.snu.ac.kr/~kye/seminar/

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ÀÛ¿ë¼Ò ¼Ò½Ä No.501 (2016.9.19)



¿¬»ç: À±»ó±Õ

¼Ò¼Ó: ¼­¿ï´ëÇб³

Á¦¸ñ: Hardy-Littlewood type inequalities on compact quantum groups

ÀϽÃ: 2016³â 9¿ù 21ÀÏ(¼ö) 16:30-18:00

Àå¼Ò: 129µ¿ 301È£


ÃÊ·Ï: In 1927, Hardy and Littlewood showed that L^p norm of functions on circle can be estimated only by information of Fourier coefficients in suitable sense. There have been some progress in this direction, in particular, the inequality was studied on compact homogeneous spaces recently. In this seminar, I will talk about the Fourier analysis on compact quantum groups and new such inequalities on concrete examples. Also, sharpness of the inequalities and some applications will be dealt with.




¿¬»ç: °­ÀºÁö

¼Ò¼Ó: ¼­¿ï´ëÇб³

Á¦¸ñ: Pure infiniteness of labeled graph C*-algebras

ÀϽÃ: 2016³â 9¿ù 28ÀÏ(¼ö) 16:30-18:00

Àå¼Ò: 129µ¿ 301È£




¿¬»ç: ÀÓ¿ëµµ

¼Ò¼Ó: ¼º±Õ°ü´ëÇб³

Á¦¸ñ: º¼·Ï¿øÃßÀÇ °æÀÌ·Î¿î ¼¼°è (The magical world of cones)

ÀϽÃ: 2016³â 10¿ù 5ÀÏ(¼ö) 16:30-18:00

Àå¼Ò: 129µ¿ 301È£

ÃÊ·Ï: ½Ç°è¼ö ¹Ù³ªÈå °ø°£ÀÇ º¼·Ï¿øÃß(convex cone)»óÀÇ Èú¹öÆ® »ç¿µ°Å¸®¿Í Ž½¼°Å¸® ±×¸®°í À̵éÀÇ ±âÇϱ¸Á¶ ¹× ÀÀ¿ë¼º¿¡ ´ëÇØ ¼Ò°³ÇÑ´Ù. ƯÈ÷, ¾çÀÇ Á¤ºÎÈ£ Çà·ÄµéÀÇ º¼·Ï¿øÃß¿Í À¯Å¬¸®µå Á¶´Ü´ë¼öÀÇ ´ëĪ¿øÃß»óÀÇ ¸®¸¸ ¹× Ž½¼ ±âÇÏ¿¡ ´ëÇÑ ¹öÄÚÆÛ Á¤¸®, Å«¼öÀÇ ¹ýÄ¢ ±×¸®°í īź ¹«°ÔÁß½ÉÀÇ ´ÜÁ¶¼º ³­Á¦ µî ºñ¼±Çü °ø°£»óÀÇ ÃÖ±Ù °á°ú¿Í ¹«ÇÑÂ÷¿ø ÀÛ¿ë¼Ò ¹× Á¶¸£´Ü ´ë¼ö»óÀ¸·ÎÀÇ È®À强¿¡ ´ëÇÑ ³­Á¦µéÀ» ¼Ò°³ÇÑ´Ù.





¿¬»ç: ±èÇüÁØ

¼Ò¼Ó: ¼­¿ï´ëÇб³

Á¦¸ñ: TBA

ÀϽÃ: 2016³â 10¿ù 12ÀÏ(¼ö) 16:30-18:00

Àå¼Ò: 129µ¿ 301È£






¡Ø À̹ø Çб⿡´Â »çÁ¤¿¡ ÀÇÇÏ¿© ¼¼¹Ì³ª¸¦ 4:30 ¿¡ ½ÃÀÛÇÕ´Ï´Ù.

¡Ø 9¿ù 21ÀÏ ¼¼¹Ì³ª¸¦ ¸¶Ä¡°í ¶ô±¸Á¤¿¡¼­ ȸ½ÄÀ» ÇÒ ¿¹Á¤ÀÌ´Ï ¸¹Àº Âü¼® ¹Ù¶ø´Ï´Ù.

¡Ø ¼­¿ï´ë ÀÛ¿ë¼Ò ¼¼¹Ì³ª ȨÆäÀÌÁö http://www.math.snu.ac.kr/~kye/seminar/



 


 

 

 

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ÀÛ¿ë¼Ò ¼Ò½Ä No.500 (2016.9.13)



À̸§: À±»ó±Õ

¼Ò¼Ó: ¼­¿ï´ëÇб³

Á¦¸ñ: Hardy-Littlewood type inequalities on compact quantum groups

ÀϽÃ: 2016³â 9¿ù 21ÀÏ(¼ö) 16:30-18:00

Àå¼Ò: 129µ¿ 301È£

ÃÊ·Ï: In 1927, Hardy and Littlewood showed that L^p norm of functions on circle can be estimated only by information of Fourier coefficients in suitable sense. There have been some progress in this direction, in particular, the inequality was studied on compact homogeneous spaces recently. In this seminar, I will talk about the Fourier analysis on compact quantum groups and new such inequalities on concrete examples. Also, sharpness of the inequalities and some applications will be dealt with.



9.28(¼ö) °­ÀºÁö (¼­¿ï´ë)


10.5(¼ö) ÀÓ¿ëµµ (¼º±Õ°ü´ë)


10.12(¼ö) ±èÇüÁØ(¼­¿ï´ë)



¡Ø À̹ø Çб⿡´Â »çÁ¤¿¡ ÀÇÇÏ¿© ¼¼¹Ì³ª¸¦ 4:30 ¿¡ ½ÃÀÛÇÕ´Ï´Ù.
¡Ø 9¿ù 21ÀÏ ¼¼¹Ì³ª¸¦ ¸¶Ä¡°í ¶ô±¸Á¤¿¡¼­ ȸ½ÄÀ» ÇÒ ¿¹Á¤ÀÌ´Ï ¸¹Àº Âü¼® ¹Ù¶ø´Ï´Ù.
¡Ø ¼­¿ï´ë ÀÛ¿ë¼Ò ¼¼¹Ì³ª ȨÆäÀÌÁö 
http://www.math.snu.ac.kr/~kye/seminar/



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ÀÛ¿ë¼Ò ¼Ò½Ä No.499 (2016.8.23) 


À̹ø °¡À» Çб⿡´Â °³°­ ÈÄ ¹Ù·Î Ãß¼®¿¬ÈÞ°¡ ÀÖ½À´Ï´Ù. ÇÏ¿© ¼¼¹Ì³ª´Â Ãß¼®¿¬ÈÞ¸¦ Áö³ª¼­ ½ÃÀÛÇÒ ¿¹Á¤ÀÔ´Ï´Ù.

´ÙÀ½ ¼Ò½ÄÁö´Â Ãß¼®¿¬ÈÞ Á÷Àü¿¡ ¹ß¼ÛÇÒ ¿¹Á¤ÀÔ´Ï´Ù.


9.21(¼ö) 16:00 °­ÀºÁö (¼­¿ï´ë)

Á¦¸ñ: Purely infinite labeled graph C*-algebras

¡Ø 9¿ù 21ÀÏ ¼¼¹Ì³ª¸¦ ¸¶Ä¡°í ȸ½Ä ¿¹Á¤ÀÌ´Ï ¸¹Àº Âü¼® ¹Ù¶ø´Ï´Ù.

¡Ø ±× ÀÌÈÄ ¼¼¹Ì³ª ¹ßÇ¥¸¦ ¿øÇϽðųª ÃßõÇÏ½Ç ºÐÀº °è½ÂÇõ±³¼ö(kye  at  snu.ac.kr)¿¡°Ô ¸ÞÀÏÀ» Áֽñ⠹ٶø´Ï´Ù.

¡Ø ¼­¿ï´ë ÀÛ¿ë¼Ò ¼¼¹Ì³ª ȨÆäÀÌÁö http://www.math.snu.ac.kr/~kye/seminar/ 



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ÀÛ¿ë¼Ò ¼Ò½Ä No.498 (2016.6.13)




ÀϽÃ: 2016³â 6¿ù 16ÀÏ(¸ñ) 16:00
Àå¼Ò: 129µ¿ 301È£
À̸§: Judith Packer
¼Ò¼Ó: University of Colorado, Boulder
Á¦¸ñ: Fractals and fractal wavelets
ÃÊ·Ï: Abstract: We discuss a construction, first due to D. Dutkay and P. Jorgensen, that can be used to define generalized wavelets on inflated fractal spaces arising from iterated function systems.  Self-similarity relations defining the fractal spaces also give rise to filter functions defined on the torus. These filter functions can be used to construct isometries, as well as probability measures on solenoids. Representations of the Baumslag-Solitar group can be obtained from the probability measures, and some properties of the representation are related to properties of the original wavelet and filter systems. The talk is based on joint work with L. Baggett, N. Larsen, K. Merrill, I. Raeburn, and A. Ramsay, and if time permits recent joint work with C. Farsi, E. Gillaspy and S. Kang  concerning generalized wavelets related to representations of higher-rank graph algebras on fractal spaces will be discussed.



ÀϽÃ: 2016³â 6¿ù 17ÀÏ(±Ý) 16:00
Àå¼Ò: 129µ¿ 301È£ [°­ÀǽÇÀÌ º¯°æµÇ¾ú½À´Ï´Ù.]
À̸§: Judith Packer
¼Ò¼Ó: University of Colorado, Boulder
Á¦¸ñ: Projective multiresolution structures for Hilbert modules over unital C*-algebras
ÃÊ·Ï:  In January 1997, Marc Rieffel gave a talk at a special session of the Annual Meeting of the American Mathematical Society entitled ``Multiwavelets and operator algebras", which related the multiresolution analysis theory of wavelets theory to the $K$-theory of the (commutative) torus.  In his talk, he discussed a way to construct nested sequences of Hilbert modules over continuous functions on the torus.  In 2003 and 2004 Rieffel and I developed the notion of  projective multiresolution analyses further; some of our results were related to function spaces first studied by G. Zimmermann. Since then, there have been a variety of attempts to generalize the theory of projective multiresolution analysis to Hilbert modules over noncommutative C*-algebras. This talk will discuss recent developments along these lines, including the construction of B. Purkis of projective multiresolution analyses over irrational rotation algebras, and the construction of projective multiresolution structures for noncommutative solenoids. 

  We will discuss applications to abstract frame theory by giving examples from the theory of noncommutative solenoids. This latter construction is joint work with F. Latremoliere of the University of Denver.



¹æÇÐ Áß, ±¹³»¿¡¼­ ´ÙÀ½°ú °°Àº ÀÛ¿ë¼Ò °ü·Ã ¸ðÀÓÀÌ ÀÖÀ¸´Ï ¸¹Àº Âü¼® ¹Ù¶ø´Ï´Ù.



1. KOTAC 2016 
June 20(Mon) ~ 21(Tue), 2016

http://www.math.snu.ac.kr/~wylee/KOTAC2016/index.htm



2. The 7th Pacific RIM Conference on Mathematics 2016
June 27(Mon) ~ July 1(Fri), 2016
Session on Operator Algebras and Functional Analysis (June 30 and July 1)

http://prcm.math.snu.ac.kr/sessions.php



3. 2016 WORKSHOP on  MATRICES AND OPERATORS
July 3(Sun) ~ 6(Wed), 2016.

http://shb.skku.edu/mao2016/



¡Ø ¼­¿ï´ë ÀÛ¿ë¼Ò ¼¼¹Ì³ª ȨÆäÀÌÁö http://www.math.snu.ac.kr/~kye/seminar/



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ÀÛ¿ë¼Ò ¼Ò½Ä No.497 (2016.5.31)




ÀϽÃ: 2016³â 6¿ù 16ÀÏ(¸ñ) 16:00
Àå¼Ò: 129µ¿ 301È£
À̸§: Judith Packer
¼Ò¼Ó: University of Colorado, Boulder
Á¦¸ñ: Fractals and fractal wavelets
ÃÊ·Ï: Abstract: We discuss a construction, first due to D. Dutkay and P. Jorgensen, that can be used to define generalized wavelets on inflated fractal spaces arising from iterated function systems.  Self-similarity relations defining the fractal spaces also give rise to filter functions defined on the torus. These filter functions can be used to construct isometries, as well as probability measures on solenoids. Representations of the Baumslag-Solitar group can be obtained from the probability measures, and some properties of the representation are related to properties of the original wavelet and filter systems. The talk is based on joint work with L. Baggett, N. Larsen, K. Merrill, I. Raeburn, and A. Ramsay, and if time permits recent joint work with C. Farsi, E. Gillaspy and S. Kang  concerning generalized wavelets related to representations of higher-rank graph algebras on fractal spaces will be discussed.



ÀϽÃ: 2016³â 6¿ù 17ÀÏ(±Ý) 16:00
Àå¼Ò: 129µ¿ 307È£
À̸§: Judith Packer
¼Ò¼Ó: University of Colorado, Boulder
Á¦¸ñ: Projective multiresolution structures for Hilbert modules over unital C*-algebras
ÃÊ·Ï:  In January 1997, Marc Rieffel gave a talk at a special session of the Annual Meeting of the American Mathematical Society entitled ``Multiwavelets and operator algebras", which related the multiresolution analysis theory of wavelets theory to the $K$-theory of the (commutative) torus.  In his talk, he discussed a way to construct nested sequences of Hilbert modules over continuous functions on the torus.  In 2003 and 2004 Rieffel and I developed the notion of  projective multiresolution analyses further; some of our results were related to function spaces first studied by G. Zimmermann. Since then, there have been a variety of attempts to generalize the theory of projective multiresolution analysis to Hilbert modules over noncommutative C*-algebras. This talk will discuss recent developments along these lines, including the construction of B. Purkis of projective multiresolution analyses over irrational rotation algebras, and the construction of projective multiresolution structures for noncommutative solenoids. 

  We will discuss applications to abstract frame theory by giving examples from the theory of noncommutative solenoids. This latter construction is joint work with F. Latremoliere of the University of Denver.



¹æÇÐ Áß, ±¹³»¿¡¼­ ´ÙÀ½°ú °°Àº ÀÛ¿ë¼Ò °ü·Ã ¸ðÀÓÀÌ ÀÖÀ¸´Ï ¸¹Àº Âü¼® ¹Ù¶ø´Ï´Ù.



1. KOTAC 2016 
June 20(Mon) ~ 21(Tue), 2016

http://www.math.snu.ac.kr/~wylee/KOTAC2016/index.htm



2. The 7th Pacific RIM Conference on Mathematics 2016
June 27(Mon) ~ July 1(Fri), 2016
Session on Operator Algebras and Functional Analysis (June 30 and July 1)

http://prcm.math.snu.ac.kr/sessions.php



3. 2016 WORKSHOP on  MATRICES AND OPERATORS
July 3(Sun) ~ 6(Wed), 2016.

http://shb.skku.edu/mao2016/



¡Ø ¼­¿ï´ë ÀÛ¿ë¼Ò ¼¼¹Ì³ª ȨÆäÀÌÁö http://www.math.snu.ac.kr/~kye/seminar/



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ÀÛ¿ë¼Ò ¼Ò½Ä No.496 (2016.5.23) 


ÀϽÃ: 2016³â 5¿ù 25ÀÏ(¼ö) 16:00-17:00/ 17:00-18:00
Àå¼Ò: 129µ¿ 301È£


16:00-17:00

À̸§: Hanfeng Li

¼Ò¼Ó: SUNY Buffalo

Á¦¸ñ: Sofic mean length

ÃÊ·Ï: For a unital ring R, a length function on left R-modules assigns a (possibly infinite) nonnegative number to each module being additive for short exact sequences of modules. For any unital ring R and any group G, one can form the group ring RG of G with coefficients in R. The modules of RG are exactly R-modules equipped with a G-action. I will discuss the question of how to define a length function for RG-modules, given a length function for R-modules. An application will be given to the question of direct finiteness of RG, i.e. whether every one-sided invertible element of RG is two-sided invertible. This is based on joint work with Bingbing Liang.


17:00-18:00

À̸§: °­¼ö¶õ

¼Ò¼Ó: Univ. Colorado, Boulder

Á¦¸ñ: Quantum Heisenberg manifolds as twisted groupoid C^*-algebras

ÃÊ·Ï: ÆÄÀÏ÷ºÎ



¡Ø 5¿ù 25ÀÏ À̹ø Çб⠼¼¹Ì³ª¸¦ ¸¶Ä¡°í ¶ô±¸Á¤¿¡¼­ ȸ½Ä ¿¹Á¤ÀÌ´Ï ¸¹Àº Âü¼® ¹Ù¶ø´Ï´Ù.

¡Ø ¼­¿ï´ë ÀÛ¿ë¼Ò ¼¼¹Ì³ª ȨÆäÀÌÁö http://www.math.snu.ac.kr/~kye/seminar/ 



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ÀÛ¿ë¼Ò ¼Ò½Ä No.495 (2016.5.16) 



À̸§: ÇãÀÎÁ¶

¼Ò¼Ó: UNIST

Á¦¸ñ: Schrodinger Operators and Spectral Theory

ÀϽÃ: 2016³â 5¿ù 18ÀÏ(¼ö) 16:00-17:30
Àå¼Ò: 129µ¿ 301È£

ÃÊ·Ï: In this talk, we explore the spectral theory on Schrodinger operators. Especially it will be discussed that the theory is connected to one of analytic functions of the spectral parameter via Titchmarsh-Weyl m functions. 



5.25(¼ö) 16:00~17:00, Hanfeng Li (SUNY Buffalo)

Á¦¸ñ: Sofic mean length
5.25(¼ö) 17:00~18:00, °­¼ö¶õ (Univ. Colorado, Boulder)

Á¦¸ñ: Quantum Heisenberg manifolds as twisted groupoid C^*-algebras



¡Ø 5¿ù 25ÀÏ À̹ø Çб⠼¼¹Ì³ª¸¦ ¸¶Ä¡°í ȸ½Ä ¿¹Á¤ÀÌ´Ï ¸¹Àº Âü¼® ¹Ù¶ø´Ï´Ù.

¡Ø ¼­¿ï´ë ÀÛ¿ë¼Ò ¼¼¹Ì³ª ȨÆäÀÌÁö http://www.math.snu.ac.kr/~kye/seminar/ 



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ÀÛ¿ë¼Ò ¼Ò½Ä No.494 (2016.5.9) 



À̸§: ÇãÀ缺

¼Ò¼Ó: ÇѾç´ëÇб³

Á¦¸ñ: Frequent  Hypercyclicity and ergodic theorems

ÀϽÃ: 2016³â 5¿ù 11ÀÏ(¼ö) 16:00-17:30
Àå¼Ò: 129µ¿ 301È£

ÃÊ·Ï:

In this talk, we introduce notions in linear dynamics, which connects functional analysis and dynamics. We discuss the dynamics of linear operators and  certain ergodic aspects of linear dynamics using frequent  hypercyclicity. We also consider ergodic actions on probability spaces and various ergodic theorems in the operator theoretic point of view.



5.18(¼ö) ÇãÀÎÁ¶ (UNIST)

Á¦¸ñ: Schrodinger Operators and Spectral Theory


5.25(¼ö) Hanfeng Li (SUNY Buffalo)
             °­¼ö¶õ (Univ. Colorado, Boulder)



¡Ø 5¿ù 25ÀÏ À̹ø Çб⠼¼¹Ì³ª¸¦ ¸¶Ä¡°í ȸ½Ä ¿¹Á¤ÀÌ´Ï ¸¹Àº Âü¼® ¹Ù¶ø´Ï´Ù.

¡Ø ¼­¿ï´ë ÀÛ¿ë¼Ò ¼¼¹Ì³ª ȨÆäÀÌÁö http://www.math.snu.ac.kr/~kye/seminar/ 



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ÀÛ¿ë¼Ò ¼Ò½Ä No.493 (2016.5.2) 



À̸§: À̿쿵

¼Ò¼Ó: ¼­¿ï´ëÇб³

Á¦¸ñ: Revisit to inner functions

ÀϽÃ: 2016³â 5¿ù 4ÀÏ(¼ö) 16:00-17:30
Àå¼Ò: 129µ¿ 301È£



5.11(¼ö) ÇãÀ缺 (ÇѾç´ëÇб³)


5.18(¼ö) ÇãÀÎÁ¶ (UNIST)

Á¦¸ñ: Schrodinger Operators and Spectral Theory


5.25(¼ö) Hanfeng Li (SUNY Buffalo)
             °­¼ö¶õ (Univ. Colorado, Boulder)



¡Ø 5¿ù 25ÀÏ À̹ø Çб⠼¼¹Ì³ª¸¦ ¸¶Ä¡°í ȸ½Ä ¿¹Á¤ÀÌ´Ï ¸¹Àº Âü¼® ¹Ù¶ø´Ï´Ù.

¡Ø ¼­¿ï´ë ÀÛ¿ë¼Ò ¼¼¹Ì³ª ȨÆäÀÌÁö http://www.math.snu.ac.kr/~kye/seminar/ 



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ÀÛ¿ë¼Ò ¼Ò½Ä No.492 (2016.4.25) 



5.4 (¼ö) À̿쿵 (¼­¿ï´ëÇб³)


5.11(¼ö) ÇãÀ缺 (ÇѾç´ëÇб³)


5.18(¼ö) ÇãÀÎÁ¶ (UNIST)


5.25(¼ö) Hanfeng Li (SUNY Buffalo)
             °­¼ö¶õ (Univ. Colorado, Boulder)



¡Ø À̹ø ÁÖ ¼¼¹Ì³ª(4¿ù 27ÀÏ)´Â ½±´Ï´Ù.

¡Ø 5¿ù 25ÀÏ À̹ø Çб⠼¼¹Ì³ª¸¦ ¸¶Ä¡°í ȸ½Ä ¿¹Á¤ÀÌ´Ï ¸¹Àº Âü¼® ¹Ù¶ø´Ï´Ù.

¡Ø ¼­¿ï´ë ÀÛ¿ë¼Ò ¼¼¹Ì³ª ȨÆäÀÌÁö http://www.math.snu.ac.kr/~kye/seminar/ 



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ÀÛ¿ë¼Ò ¼Ò½Ä No.491 (2016.4.18) 



À̸§: ÀÌÀÎÇù

¼Ò¼Ó: ÀÌÈ­¿©ÀÚ´ëÇб³

Á¦¸ñ: Inverse semigroups associated with one-dimensional generalized solenoids

ÀϽÃ: 2016³â 4¿ù 20ÀÏ(¼ö) 16:00-17:30
Àå¼Ò: 129µ¿ 301È£

ÃÊ·Ï: 

In this paper, we study inverse semigroups defined on the Bratteli-Vershik systems and SFT covers of $1$-solenoids.
We show that groupoids of germs of these inverse semigroups are equivalent to the unstable equivalence groupoids of $1$-solenoids.
And we prove that Exel's tight $C^*$-algebras of inverse semigroups are strongly Morita equivalent to the unstable $C^*$-algebras of $1$-solenoids.


5.4 (¼ö) À̿쿵 (¼­¿ï´ëÇб³)



¡Ø ´ÙÀ½ ÁÖ ¼¼¹Ì³ª(4¿ù 27ÀÏ)´Â ½±´Ï´Ù.

¡Ø ¼­¿ï´ë ÀÛ¿ë¼Ò ¼¼¹Ì³ª ȨÆäÀÌÁö http://www.math.snu.ac.kr/~kye/seminar/ 



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ÀÛ¿ë¼Ò ¼Ò½Ä No.490 (2016.4.11) 



4.20 (¼ö) ÀÌÀÎÇù (ÀÌÈ­¿©ÀÚ´ëÇб³)

Á¦¸ñ: Inverse semigroups associated with one-dimensional generalized solenoids

ÃÊ·Ï: 

In this paper, we study inverse semigroups defined on the Bratteli-Vershik systems and SFT covers of $1$-solenoids.
We show that groupoids of germs of these inverse semigroups are equivalent to the unstable equivalence groupoids of $1$-solenoids.
And we prove that Exel's tight $C^*$-algebras of inverse semigroups are strongly Morita equivalent to the unstable $C^*$-algebras of $1$-solenoids.


¡Ø ¼­¿ï´ë ÀÛ¿ë¼Ò ¼¼¹Ì³ª ȨÆäÀÌÁö http://www.math.snu.ac.kr/~kye/seminar/ 



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ÀÛ¿ë¼Ò ¼Ò½Ä No.489 (2016.4.4) 


À̸§: Xin Li

¼Ò¼Ó: Queen Mary Univ.

Á¦¸ñ: Semigroup C*-algebras -- algebraic preliminaries / Semigroup C*-algebras -- C*-algebraic preliminaries

ÀϽÃ: 2016³â 4¿ù 6ÀÏ(¼ö) 16:00-17:30 / 4¿ù 7ÀÏ(¸ñ) 14:00~15:30 
Àå¼Ò: 129µ¿ 301È£

ÃÊ·Ï: 

4.6 (¼ö) We explain and discuss the algebraic preliminaries underlying our investigations of semigroup C*-algebras. The general setting will be a mixture of semigroup theory, group theory, dynamical systems as well as number theory. Examples will also be discussed along the way.

4.7 (¸ñ) In the study of semigroup C*-algebras, we use various tools and concepts from or closely related to C*-algebras, for instance from classification, K-theory, or groupoid theory. The aim of this talk is to provide the relevant background.



4.20 (¼ö) ÀÌÀÎÇù (ÀÌÈ­¿©ÀÚ´ëÇб³)

Á¦¸ñ: Inverse semigroups associated with one-dimensional generalized solenoids



¡Ø À̹ø ÁÖ ¼¼¹Ì³ª (4¿ù 6ÀÏ) ÈÄ¿¡´Â ¶ô±¸Á¤¿¡¼­ ȸ½ÄÀÌ ÀÖÀ» ¿¹Á¤ÀÔ´Ï´Ù. ¸¹Àº Âü¼® ¹Ù¶ø´Ï´Ù.

¡Ø ¼­¿ï´ë ÀÛ¿ë¼Ò ¼¼¹Ì³ª ȨÆäÀÌÁö http://www.math.snu.ac.kr/~kye/seminar/ 



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ÀÛ¿ë¼Ò ¼Ò½Ä No.488 (2016.3.28) 


À̸§: À¯¼º¿í

¼Ò¼Ó: ¼º±Õ°ü´ëÇб³

Á¦¸ñ: Truncated Moment Problems and Related Topics

ÀϽÃ: 2016³â 3¿ù 30ÀÏ(¼ö) 16:00-17:30 
Àå¼Ò: 129µ¿ 301È£

ÃÊ·Ï: 

The moment problem is an important class of inverse problems that naturally appear in many areas of science and mathematics. In the study of moment problems, traditional tools and techniques have been used from a variety of subjects, including real and complex analysis, algebraic geometry, analytic function theory, operator theory, and the extension theory for positive linear functionals on convex cones in function spaces. We can easily find that the importance of moment problem extends to various topics; in this talk we briefly look over connections between moment problems and the following: 

(i) Interpolation and pencil problem

(ii) Representation of the general Fibonacci sequence

(iii) Invariant subspace problem

(iv) Subnormal completion problem

(v) Image reconstruction.


4.6 (¼ö), 16:00~17:30, Xin Li (Queen Mary Univ.)

Á¦¸ñ: Semigroup C*-algebras -- algebraic preliminaries

4.7 (¸ñ), 14:00~15:30, Xin Li (Queen Mary Univ.)

Á¦¸ñ: Semigroup C*-algebras -- C*-algebraic preliminaries


4.20 (¼ö) ÀÌÀÎÇù (ÀÌÈ­¿©ÀÚ´ëÇб³)

Á¦¸ñ: Inverse semigroups associated with one-dimensional generalized solenoids



¡Ø ¼­¿ï´ë ÀÛ¿ë¼Ò ¼¼¹Ì³ª ȨÆäÀÌÁö http://www.math.snu.ac.kr/~kye/seminar/ 



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ÀÛ¿ë¼Ò ¼Ò½Ä No.487 (2016.3.21) 


À̸§: À±»ó±Õ

¼Ò¼Ó: ¼­¿ï´ëÇб³

Á¦¸ñ: Random Fourier series on compact quantum groups and a Littlewood type theorem

ÀϽÃ: 2016³â 3¿ù 23ÀÏ(¼ö) 16:00-17:30 
Àå¼Ò: 129µ¿ 301È£

ÃÊ·Ï: ÆÄÀÏ Ã·ºÎ


3.30 (¼ö) À¯¼º¿í (¼º±Õ°ü´ëÇб³)

Á¦¸ñ: Truncated Moment Problems and Related Topics


4.6 (¼ö), 16:00~17:30, Xin Li (Queen Mary Univ.)

Á¦¸ñ: Semigroup C*-algebras -- algebraic preliminaries

4.7 (¸ñ), 14:00~15:30, Xin Li (Queen Mary Univ.)

Á¦¸ñ: Semigroup C*-algebras -- C*-algebraic preliminaries


4.20 (¼ö) ÀÌÀÎÇù (ÀÌÈ­¿©ÀÚ´ëÇб³)

Á¦¸ñ: Inverse semigroups associated with one-dimensional generalized solenoids



¡Ø ¼­¿ï´ë ÀÛ¿ë¼Ò ¼¼¹Ì³ª ȨÆäÀÌÁö http://www.math.snu.ac.kr/~kye/seminar/ 



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ÀÛ¿ë¼Ò ¼Ò½Ä No.486 (2016.3.14) 


À̸§: ÇϱæÂù

¼Ò¼Ó: ¼¼Á¾´ëÇб³

Á¦¸ñ: Machine Learning for Music

ÀϽÃ: 2016³â 3¿ù 16ÀÏ(¼ö) 16:00-17:30 
Àå¼Ò: 129µ¿ 301È£

ÃÊ·Ï:

  ¿©·¯ È­°¡ÀÇ ´Ù¾çÇÑ ÀÛÇ°À» °¨»óÇÏ°í ³ª¸é Ã³À½ º¸´Â ¹Ì¼ú ÀÛÇ°ÀÌ ¾î¶² È­°¡ÀÇ ÀÛÇ°ÀÎÁö À¯ÃßÇÏ´Â °ÍÀÌ °¡´ÉÇÏ°í, Ŭ·¡½Ä À½¾ÇÀÇ °æ¿ì¿¡µµ °æÇè¿¡ µû¶ó ±× ÀÛ°î°¡¸¦ À¯ÃßÇÏ´Â °ÍÀÌ °¡´ÉÇÏ´Ù. ÀÌó·³ Àΰ£Àº °æÇè(ÇнÀ)À» ÅëÇØ ÁÖ¾îÁø µ¥ÀÌÅ͵éÀÇ Æ¯¼º, ÆÐÅÏÀ» ÀÎÁöÇÏ°í À̸¦ ÀÌ¿ëÇÏ¿© »õ·Î¿î µ¥ÀÌÅÍ¿¡ ´ëÇØ ¾î¶² ÆÇ´ÜÀ» ÇÏ´Â °ÍÀÌ °¡´ÉÇÏ´Ù. ÀÌ·± Àΰ£ÀÇ ÇнÀ´É·ÂÀ» ÄÄÇ»ÅÍ·Î ¸ð¹æÇÏ´Â ¹æ¹ý Áß Çϳª·Î ¸Ó½Å·¯´×À» µé ¼ö ÀÖ´Ù.

 ¸Ó½Å·¯´×Àº ÁÖ¾îÁø µ¥ÀÌÅͷκÎÅÍ ÆÐÅÏ°ú Ư¼ºÀ» ÀÚµ¿À¸·Î ã¾Æ¼­, ¾ÕÀ¸·Î ÀϾ µ¥ÀÌÅÍ¿¡ ´ëÇÑ ¿¹ÃøÀ̳ª »õ·Î¿î µ¥ÀÌÅÍ¿¡ ´ëÇÑ ¾î¶² ÆÇ´ÜÀ» ÀÚµ¿À¸·Î ÇÒ ¼ö ÀÖ°Ô ÇÏ´Â ÀÏ·ÃÀÇ ¹æ¹ýÀ» ÀǹÌÇÑ´Ù. º» ¹ßÇ¥¿¡¼­´Â ¸Ó½Å·¯´×¿¡ ´ëÇÑ ÀϹÝÀûÀÎ ³»¿ëÀ» °£·«ÇÏ°Ô ¼Ò°³ÇÏ°í, Å¬·¡½Ä °îÀ» Çà·Ä·Î Ç¥ÇöÇÑ ÈÄ Çà·ÄÀÇ Æ¯ÀÌ°ªºÐÇØ¿Í ¸Ó½Å·¯´×À» ÅëÇØ ÁÖ¾îÁø °îÀÇ ÀÛ°î°¡¸¦ ¿¹ÃøÇÏ°í ºÐ·ùÇÏ´Â ¹æ¹ý¿¡ ´ëÇØ ¼Ò°³ÇÑ´Ù. 



3.23 (¼ö) À±»ó±Õ (¼­¿ï´ëÇб³)

Á¦¸ñ: Random Fourier series on compact quantum groups and a Littlewood type theorem


3.30 (¼ö) À¯¼º¿í (¼º±Õ°ü´ëÇб³)

Á¦¸ñ: Truncated Moment Problems and Related Topics


4.6 (¼ö), 16:00~17:30, Xin Li (Queen Mary Univ.)

Á¦¸ñ: Semigroup C*-algebras -- algebraic preliminaries

4.7 (¸ñ), 14:00~15:30, Xin Li (Queen Mary Univ.)

Á¦¸ñ: Semigroup C*-algebras -- C*-algebraic preliminaries


4.20 (¼ö) ÀÌÀÎÇù (ÀÌÈ­¿©ÀÚ´ëÇб³)

Á¦¸ñ: Inverse semigroups associated with one-dimensional generalized solenoids



¡Ø ¼­¿ï´ë ÀÛ¿ë¼Ò ¼¼¹Ì³ª ȨÆäÀÌÁö http://www.math.snu.ac.kr/~kye/seminar/ 



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ÀÛ¿ë¼Ò ¼Ò½Ä No.485 (2016.3.7) 


À̸§: Á¤ÀÚ¾Æ

¼Ò¼Ó: ¼­¿ï´ëÇб³

Á¦¸ñ: Finite simple labeled graph C*-algebras of Cantor minimal subshifts

ÀϽÃ: 2016³â 3¿ù 9ÀÏ(¼ö) 16:00-18:00 
Àå¼Ò: 129µ¿ 301È£


3.16 (¼ö) ÇϱæÂù (¼¼Á¾´ëÇб³)

Á¦¸ñ: Machine Learning for Music


3.23 (¼ö) À±»ó±Õ (¼­¿ï´ëÇб³)

Á¦¸ñ: Random Fourier series on compact quantum groups and a Littlewood type theorem


3.30 (¼ö) À¯¼º¿í (¼º±Õ°ü´ëÇб³)


4.20 (¼ö) ÀÌÀÎÇù (ÀÌÈ­¿©ÀÚ´ëÇб³)

Á¦¸ñ: Inverse semigroups associated with one-dimensional generalized solenoids



¡Ø À̹ø ÇбâºÎÅÍ ÀÛ¿ë¼Ò ¼¼¹Ì³ª¸¦ ¸ÅÁÖ ¼ö¿äÀÏ ¿ÀÈÄ 4½Ã¿¡ °³ÃÖÇÕ´Ï´Ù.

¡Ø À̹ø ÁÖ ¼¼¹Ì³ª (3¿ù 9ÀÏ)¿¡´Â °³°­ ¸ÂÀÌ È¸½ÄÀÌ ÀÖÀ» ¿¹Á¤ÀÌ´Ï ¸¹Àº Âü¼® ¹Ù¶ø´Ï´Ù.

¡Ø ¼­¿ï´ë ÀÛ¿ë¼Ò ¼¼¹Ì³ª ȨÆäÀÌÁö http://www.math.snu.ac.kr/~kye/seminar/ 



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ÀÛ¿ë¼Ò ¼Ò½Ä No.484 (2016.3.2) 


À̸§: Á¤ÀÚ¾Æ

¼Ò¼Ó: ¼­¿ï´ëÇб³

Á¦¸ñ: Finite simple labeled graph C*-algebras of Cantor minimal subshifts

ÀϽÃ: 2016³â 3¿ù 9ÀÏ(¼ö) 16:00-18:00 
Àå¼Ò: 129µ¿ 301È£


3.16 (¼ö) ÇϱæÂù (¼¼Á¾´ëÇб³)

Á¦¸ñ: Machine Learning for Music


3.23 (¼ö) À±»ó±Õ (¼­¿ï´ëÇб³)

Á¦¸ñ: Random Fourier series on compact quantum groups and a Littlewood type theorem



¡Ø À̹ø ÇбâºÎÅÍ ÀÛ¿ë¼Ò ¼¼¹Ì³ª¸¦ ¸ÅÁÖ ¼ö¿äÀÏ ¿ÀÈÄ 4½Ã¿¡ °³ÃÖÇÕ´Ï´Ù.

¡Ø ´ÙÀ½ ÁÖ ¼¼¹Ì³ª (3¿ù 9ÀÏ)¿¡´Â °³°­ ¸ÂÀÌ È¸½ÄÀÌ ÀÖÀ» ¿¹Á¤ÀÌ´Ï ¸¹Àº Âü¼® ¹Ù¶ø´Ï´Ù.

¡Ø ¼­¿ï´ë ÀÛ¿ë¼Ò ¼¼¹Ì³ª ȨÆäÀÌÁö http://www.math.snu.ac.kr/~kye/seminar/ 



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ÀÛ¿ë¼Ò ¼Ò½Ä No.483 (2016.2.16)


Àå¼Ò: 129µ¿ 301È£

¿¬»ç: Man-Duen Choi (University of Toronto), Ion Nechita (CNRS, Laboratoire de Physique Theorique, Toulouse)

ÀϽÃ:

2¿ù 22ÀÏ(¿ù) Choi (Quantum Entanglement) 15:00-16:00, Nechita (Random Matrices in QIT) 16:00-18:00

2¿ù 23ÀÏ(È­) Nechita 16:00-18:00

2¿ù 24ÀÏ(¼ö) Nechita 16:00-18:00


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Man-Duen Choi


Title: The Taming of the Shrew--- Much Ado about Nothing as Quantum Entanglements

Abstract:  Who¡¯s afraid of quantum entanglements?  I  wish to tame the physical shrew  by means of pure mathematics.  In particular, I seek the sense and sensibility of quantum computers, with pride and prejudice in matrix analysis.

This expository talk may serve as  a modern  review of one of  my old math paper.  (The paper, consisting of 6 pages only, was published in 1975, with more than 1300 citations as recorded in Google Scholars 2016 January, including 700 RECENT research papers of Quantum Information.)

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Ion Nechita

Title: Using Random Matrices in Quantum Information Theory

Abstract: The goal of this series of lectures is to present some recent results in QIT which make use of random matrices. After an introduction to random matrix theory, I will present the method of moments, one of the most successful methods used to study the spectra of large random matrices. This will be the occasion to discuss integration over Gaussian spaces and over unitary groups. On the QIT side, I will focus on two main topics, random quantum states and random quantum channels. I will then prove two recent results, one on the asymptotic eigenvalue distribution of the partial transposition of random quantum states, and another on the output set of random quantum channels. Both will require some terminology and results from free probability, which will also be discussed in detail. 
Useful recent reference: B. Collins and I. Nechita - Random matrix techniques in quantum information theory, J. Math. Phys. 57, 015215 (2016); 
http://dx.doi.org/10.1063/1.4936880;http://arxiv.org/abs/1509.04689

Plan of lectures: 

Lecture 1. 
- Introduction to Random Matrices
- Gaussian random variables and integration. The Wick formula
- The Haar measure on the unitary group. The Weingarten formula
Lecture 2.
- Random density matrices. The induced measure
- The asymptotic distribution of eigenvalues
- The partial transposition of random quantum states. Free probability theory
Lecture 3. 
- Random quantum channels obtained from random isometries
- The maximal output entropy of quantum channels. The additivity question
- Product of conjugate random quantum channels
- The asymptotic output set of a random quantum channel

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