ÀÛ¿ë¼Ò ¼Ò½Ä No.534 (2017.12.04)


À̸§: À̿쿵
¼Ò¼Ó: ¼­¿ï´ëÇб³
Á¦¸ñ: The Beurling-Lax-Halmos Theorem
Abstract: In this talk, we consider questions emerging from the Beurling-Lax-Halmos Theorem. These questions invite us to take into account a canonical decomposition of L^2-functions.
ÀϽÃ: 2017³â 12¿ù 6ÀÏ (¼ö) 16:00-17:00
Àå¼Ò: 129µ¿ 301È£



¡Ø 12¿ù 4ÀÏ (¿ù) ¿ÀÈÄ 4½Ã 30ºÐ À̿쿵 ±³¼ö´ÔÀÇ ¼­¿ï´ëÇб³ ±³À°»ó ¼ö»ó ±â³ä°­¿¬ÀÌ ÀÖ½À´Ï´Ù.

¡Ø 12¿ù 6ÀÏ ¼¼¹Ì³ª ÈÄ Á¾°­È¸½ÄÀÌ ÀÖÀ» ¿¹Á¤ÀÌ´Ï ¸¹Àº Âü¼® ¹Ù¶ø´Ï´Ù.

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

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



----------------------------------------------------------------------------------------------------------------------------------------------

ÀÛ¿ë¼Ò ¼Ò½Ä No.533 (2017.11.20)


À̸§: °íµÎ¿ø
¼Ò¼Ó: ÃæºÏ´ëÇб³
Á¦¸ñ: Additive energy estimates and their application to extension problems for paraboloids in finite fields
Abstract: In this talk, we introduce the connection between additive energy estimates and the extension problem for paraboloids in the finite field setting. We improve additive energy estimates for subsets of paraboloids in even dimensional vector spaces over finite fields. As a consequence, up to endpoint, we obtain the optimal L^2 ¡æ L^r extension estimates for paraboloids in even dimensions d ¡Ã 6. This is a joint work with Alex Iosevich and Mark Lewko.
ÀϽÃ: 2017³â 11¿ù 29ÀÏ (¼ö) 16:00-17:00 (½Ã°£ º¯°æ)
Àå¼Ò: 129µ¿ 301È£



12¿ù 6ÀÏ (¼ö) À̿쿵 (¼­¿ï´ëÇб³)



¡Ø 11¿ù 22ÀÏ (¼ö) ÀÛ¿ë¼Ò ¼¼¹Ì³ª´Â ¼ö¸®°úÇкΠ¼öÇа­¿¬È¸·Î ÈÞ°­ÀÔ´Ï´Ù.

¡Ø 12¿ù 4ÀÏ (¿ù) ¿ÀÈÄ 4½Ã 30ºÐ À̿쿵 ±³¼ö´ÔÀÇ ¼­¿ï´ëÇб³ ±³À°»ó ¼ö»ó ±â³ä°­¿¬ÀÌ ÀÖ½À´Ï´Ù. (ÀϽà º¯°æ)

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

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



----------------------------------------------------------------------------------------------------------------------------------------------

ÀÛ¿ë¼Ò ¼Ò½Ä No.532 (2017.11.12)


À̸§: Cedric Beny
¼Ò¼Ó: ÇѾç´ëÇб³
Á¦¸ñ: Quantum information semantics for operator algebras
Abstract: Quantum information theory studies fundamental limits on the ways that physical systems can be manipulated. In one of the most general formulations, systems are represented by C*-algebras, and transformations by completely positive maps. The Stinespring dilation theorem - which fully characterizes these maps - provides some of the most basic results in quantum informations. I will explain its role in quantum error correction and the information-disturbance tradeoff. Other results in quantum information rely on an additional bit of physics: a notion of locality. It is needed, for instance, in order to define the concept of entanglement. I will give example of "exotic" locality structures, such as that of fermions.
ÀϽÃ: 2017³â 11¿ù 15ÀÏ (¼ö) 16:00-17:00
Àå¼Ò: 129µ¿ 301È£



11¿ù 29ÀÏ (¼ö, ¿ÀÈÄ3½Ã) °íµÎ¿ø (ÃæºÏ´ë)

12¿ù 6ÀÏ (¼ö) À̿쿵 (¼­¿ï´ëÇб³)



¡Ø 11¿ù 22ÀÏ (¼ö) ÀÛ¿ë¼Ò ¼¼¹Ì³ª´Â ¼ö¸®°úÇкΠ¼öÇа­¿¬È¸·Î ÈÞ°­ÀÔ´Ï´Ù.

¡Ø 11¿ù 29ÀÏ (¼ö) ¿ÀÈÄ 4½Ã À̿쿵 ±³¼ö´ÔÀÇ ¼­¿ï´ëÇб³ ±³À°»ó ¼ö»ó ±â³ä°­¿¬ÀÌ ÀÖ½À´Ï´Ù.


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

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



----------------------------------------------------------------------------------------------------------------------------------------------

ÀÛ¿ë¼Ò ¼Ò½Ä No.531 (2017.11.5)


À̸§: À±»ó±Õ

¼Ò¼Ó: ¼­¿ï´ëÇб³

Á¦¸ñ: The non-commutative Khintchine inequality and its implication on Fourier multipliers from L^p into l^1

Abstract: The Khintchine inequality has played a crucial role in various theories of analysis and, surprisingly, there is a natural and successful analogue in the setting of non-commutative probability spaces. In this talk, I will explain what the non-commutative Khintchine inequality is and how it recovers a theorem of Littlewood on random Fourier series. Also, I will address its implication on the study of Fourier multipliers from L^p into l^1.

ÀϽÃ: 2017³â 11¿ù 8ÀÏ (¼ö) 16:00-17:00

Àå¼Ò: 129µ¿ 301È£



11¿ù 15ÀÏ (¼ö) Cedric Beny (ÇѾç´ëÇб³)


11¿ù 29ÀÏ (¼ö, ¿ÀÈÄ3½Ã) °íµÎ¿ø (ÃæºÏ´ë)


12¿ù 6ÀÏ (¼ö) À̿쿵 (¼­¿ï´ëÇб³)



¡Ø 11¿ù 22ÀÏ (¼ö) ÀÛ¿ë¼Ò ¼¼¹Ì³ª´Â ¼ö¸®°úÇкΠ¼öÇа­¿¬È¸·Î ÈÞ°­ÀÔ´Ï´Ù.


¡Ø 11¿ù 29ÀÏ (¼ö) ¿ÀÈÄ 4½Ã À̿쿵 ±³¼ö´ÔÀÇ ¼­¿ï´ëÇб³ ±³À°»ó ¼ö»ó ±â³ä°­¿¬ÀÌ ÀÖ½À´Ï´Ù.


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

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



----------------------------------------------------------------------------------------------------------------------------------------------



ÀÛ¿ë¼Ò ¼Ò½Ä No.530 (2017.10.23)


À̸§: Miklós Pálfia
¼Ò¼Ó: ¼º±Õ°ü´ëÇб³
Á¦¸ñ: Operator means, monotonicity, and free function theory

Abstract

ÀϽÃ: 2017³â 11¿ù 1ÀÏ (¼ö) 16:00-17:00
Àå¼Ò: 129µ¿ 301È£


À̸§: Christian Le Merdy
¼Ò¼Ó: Laboratoire de mathématiques de Besançon, Université de Franche-Comté
Á¦¸ñ: Applications of functional calculus to perturbation theory

Abstract

ÀϽÃ: 2017³â 11¿ù 1ÀÏ (¼ö) 17:00-18:00
Àå¼Ò: 129µ¿ 301È£



11¿ù 15ÀÏ (¼ö) Cedric Beny (ÇѾç´ëÇб³)


11¿ù 29ÀÏ (¼ö) °íµÎ¿ø (ÃæºÏ´ë)


12¿ù 6ÀÏ (¼ö) À̿쿵 (¼­¿ï´ëÇб³)



¡Ø 10¿ù 25ÀÏ (¼ö) ÀÛ¿ë¼Ò ¼¼¹Ì³ª´Â ´ëÇѼöÇÐȸ °ü°è·Î ÈÞ°­ÀÔ´Ï´Ù.


¡Ø 11¿ù 8ÀÏ (¼ö) ÀÛ¿ë¼Ò ¼¼¹Ì³ª´Â ¼ö¸®°úÇкΠ¼öÇа­¿¬È¸·Î ÈÞ°­ÀÔ´Ï´Ù.


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

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



----------------------------------------------------------------------------------------------------------------------------------------------



ÀÛ¿ë¼Ò ¼Ò½Ä No.529 (2017.10.13)


À̸§: °­¼ö¶õ


¼Ò¼Ó: Áß¾Ó´ëÇб³


Á¦¸ñ: Monic representations associated to higher-rank graphs


Abstract: We analyze the monic representations of C*-algebras of finite k-graphs. We first introduce $\Lambda$-semibranching function systems of finite k-graphs and associated representations. Then we discuss a specific class of $\Lambda$-semibranching function systems called monic systems, which give rise to monic representations of $C^*(\Lambda)$. The results we discuss in fact completely characterize these representations, generalizing the works of Dutkay-Jorgensen and Bezugli-Jorgensen for Cuntz and Cutnz-Krieger algebras respectively. This is a joint work with Carla Farsi, Elizabeth Gillaspy, Palle Jorgensen and Judith Packer.


ÀϽÃ: 2017³â 10¿ù 18ÀÏ (¼ö) 16:00-17:30


Àå¼Ò: 129µ¿ 301È£




11¿ù 1ÀÏ (¼ö) Miklós Pálfia (¼º±Õ°ü´ëÇб³)


11¿ù 15ÀÏ (¼ö) Cedric Beny (ÇѾç´ë)


11¿ù 29ÀÏ (¼ö) °íµÎ¿ø (ÃæºÏ´ë)


12¿ù 6ÀÏ (¼ö) À̿쿵 (¼­¿ï´ëÇб³)




¡Ø 10¿ù 25ÀÏ (¼ö) ÀÛ¿ë¼Ò ¼¼¹Ì³ª´Â ´ëÇѼöÇÐȸ °ü°è·Î ÈÞ°­ÀÔ´Ï´Ù.


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

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



----------------------------------------------------------------------------------------------------------------------------------------------



ÀÛ¿ë¼Ò ¼Ò½Ä No.528 (2017.10.9)


À̸§: ÇãÀ缺

¼Ò¼Ó: ÇѾç´ëÇб³


Á¦¸ñ:
ÀÛ¿ë¼Ò ´ë¼ö, ±º°ú ¿¡¸£°íµñ Á¤¸®µé

ÃÊ·Ï: Èú¹öÆ® °ø°£ÀÇ  ¼±Çü¶Ç´Â ºñ¼±Çü ÀÛ¿ë¼ÒÀÇ ¿¡¸£°íµñ Á¤¸®¿Í  Æò±Õ°¡´É ±º À§¿¡¼­ÀÇ ¿¡¸£°íµñ Á¤¸®µéÀ» °íÂûÇÏ°í, ÀϹÝÈ­µÈ ±º¿¡¼­ÀÇ ¿¡¸£°íµñ Á¤¸®µéÀ» À§ÇÑ ±ºÀÇ ¼ºÁúµéÀ» »ìÆ캻´Ù. ¶ÇÇÑ, C*-´ë¼öÀ§¿¡¼­ ±ºÀÛ¿ë¿¡ ´ëÇÑ ¿¡¸£°íµñ Á¤¸®µéÀ» ³íÀÇÇÑ´Ù.


ÀϽÃ: 2017³â 10¿ù 11ÀÏ (¼ö) 16:00-17:30


Àå¼Ò: 129µ¿ 301È£



10¿ù 18ÀÏ (¼ö) °­¼ö¶õ (Áß¾Ó´ëÇб³)


11¿ù 1ÀÏ (¼ö) Miklós Pálfia (¼º±Õ°ü´ëÇб³)


11¿ù 15ÀÏ (¼ö) Cedric Beny (ÇѾç´ë)


11¿ù 29ÀÏ (¼ö) °íµÎ¿ø(ÃæºÏ´ë)


12¿ù 6ÀÏ (¼ö) À̿쿵 (¼­¿ï´ëÇб³)



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

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



----------------------------------------------------------------------------------------------------------------------------------------------



ÀÛ¿ë¼Ò ¼Ò½Ä No.527 (2017.9.23)


À̸§: ±è¼±È£

¼Ò¼Ó: ¾ÆÁÖ´ëÇб³


Á¦¸ñ: A survey on Bratteli diagrams and dimension groups: representation, classification, and measures


Abstract: In 1972, Bratteli introduced a class of graded infinite graphs, later called Bratteli diagrams, in order to classify the approximately finitely (AF) C*-algebras. After the Vershik's study, Bratteli diagrams turned out to be a powerful and productive tool for the study of dynamical systems. In this talk, we first review the efinitions of Bratteli diagrams and dimension groups, and then we discuss the well-known results and open problems on Bratteli diagrams in various aspects.



ÀϽÃ: 2017³â 9¿ù 27ÀÏ(¼ö) 16:00-17:30


Àå¼Ò: 129µ¿ 301È£



10¿ù 11ÀÏ (¼ö) ÇãÀ缺 (ÇѾç´ëÇб³)


10¿ù 18ÀÏ (¼ö) °­¼ö¶õ (Áß¾Ó´ëÇб³)


11¿ù 15ÀÏ (¼ö) Cedric Beny (ÇѾç´ë)


12¿ù 6ÀÏ (¼ö) À̿쿵 (¼­¿ï´ëÇб³)




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

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



----------------------------------------------------------------------------------------------------------------------------------------------



ÀÛ¿ë¼Ò ¼Ò½Ä No.526 (2017.9.11)


À̸§: ¹ÚÀçÈÖ

¼Ò¼Ó: ¼­¿ï´ëÇб³


Á¦¸ñ: Toeplitz and Hankel operators induced by measures


Abstract: ÆÄÀÏ÷ºÎ


ÀϽÃ: 2017³â 9¿ù 13ÀÏ(¼ö) 16:00-17:30


Àå¼Ò: 129µ¿ 301È£




9¿ù 27ÀÏ (¼ö) ±è¼±È£ (¾ÆÁÖ´ëÇб³)


10¿ù 11ÀÏ (¼ö) °­¼ö¶õ (Áß¾Ó´ëÇб³)


10¿ù 18ÀÏ (¼ö) ÇãÀ缺 (ÇѾç´ëÇб³


11¿ù 1ÀÏ (¼ö) Miklós Pálfia (¼º±Õ°ü´ë)


11¿ù 29ÀÏ (¼ö) °íµÎ¿ø(ÃæºÏ´ë)


12¿ù 6ÀÏ (¼ö) À̿쿵 (¼­¿ï´ëÇб³)



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


¡Ø ´ÙÀ½ ÁÖ ¼¼¹Ì³ª(9¿ù20ÀÏ) KOAS (9/21-23) °ü°è·Î ÈÞ°­ÇÕ´Ï´Ù.


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



----------------------------------------------------------------------------------------------------------------------------------------------



ÀÛ¿ë¼Ò ¼Ò½Ä No.525 (2017.9.1)


À̸§: Yemon Choi


¼Ò¼Ó: Lancaster University


Á¦¸ñ: Completely almost periodic elements of Hopf von Neumann algebras


ÃÊ·Ï: Almost periodicity was introduced by H. Bohr in the 1920s in the context of functions on the real line. Subsequently, the following generalization has become accepted: a bounded function on a group G is  called almost periodic if the set of its translates is relatively compact (in the sup-norm topology). The space of all a.p. functions on G is then an interesting commutative unital C*-algebra, whose spectrum can be regarded as a "compactification" of G.

 $L^\infty(G)$ is an example of a Hopf von Neumann algebra, and there are several plausible ways to extend the previous definitions to the world of Hopf von Neumann algebras. In this talk, I will give a brief sketch of some of the classical results, and then discuss a version for Hopf von Neumann algebras that was proposed by Runde, using a modified notion of compactness that may be more appropriate to the operator-space setting.

 Extending his results, I shall show that Runde's construction always produces a C*-algebra, and if time permits, I will discuss an unexpected connection with a problem that arose in the study of uniform Roe algebras.


ÀϽÃ: 2017³â 9¿ù 6ÀÏ(¼ö) 16:00-17:30


Àå¼Ò: 129µ¿ 301È£




9¿ù 13ÀÏ (¼ö) ¹ÚÀçÈÖ (¼­¿ï´ëÇб³)


9¿ù 27ÀÏ (¼ö) ±è¼±È£ (¾ÆÁÖ´ëÇб³)


10¿ù 11ÀÏ (¼ö) °­¼ö¶õ (Áß¾Ó´ëÇб³)


10¿ù 18ÀÏ (¼ö) ÇãÀ缺 (ÇѾç´ëÇб³)


12¿ù 6ÀÏ (¼ö) À̿쿵 (¼­¿ï´ëÇб³)



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


¡Ø ´ÙÀ½ ÁÖ ¼¼¹Ì³ª (9¿ù 6ÀÏ)¿¡´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/



----------------------------------------------------------------------------------------------------------------------------------------------



ÀÛ¿ë¼Ò ¼Ò½Ä No.524 (2017.6.4)



À̸§: ÀÌÇöÈ£

¼Ò¼Ó: ¿ï»ê´ëÇб³


Á¦¸ñ: A classification program of simple, amenable C*-algebras: an overview without telescopes


ÃÊ·Ï: Last year, the major problem/theorem of Elliott classification program was completed. It took almost a half century to reach the current state of art. As an outsider of this development, sacrificing the details and rigor of statements I summarize the highlights of the main result. I must confess that I yet read  Elliott, Gong, Lin, Niu¡¯s 2015 paper which is 283 pages long and Tikuisis, Winter, White¡¯s Ann. of Math paper which is also 48pages long. However, the strategy to attack this problem has been known since 2010. So I may explain the strategy and the final story. 


ÀϽÃ: 2017³â 6¿ù 8ÀÏ (¸ñ) 16:00-17:30   (ÇаúȸÀÇ °ü°è·Î ¸ñ¿äÀÏ¿¡ ÁøÇàÇÔ)


Àå¼Ò: 129µ¿ 301È£



¡Ø 6¿ù 8ÀÏ ¼¼¹Ì³ª¿¡´Â ¿ÀÈÄ 6½Ã ¶ô±¸Á¤¿¡¼­ ȸ½ÄÀÌ ÀÖÀ» ¿¹Á¤ÀÌ´Ï ¸¹Àº Âü¼® ¹Ù¶ø´Ï´Ù.


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

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



----------------------------------------------------------------------------------------------------------------------------------------------



ÀÛ¿ë¼Ò ¼Ò½Ä No.523 (2017.5.27)



À̸§: ³²°è¼÷

¼Ò¼Ó: ¼­¿ï´ëÇб³


Á¦¸ñ: NEW CHARACTERIZATIONS FOR THE WEIGHTED FOCK SPACES


ÃÊ·Ï: It is known that the standard weighted Bergman spaces over the complex ball can be characterized by means of Lischitz type conditions. It is also known that the same spaces can be characterized, except for a critical case, by means of integrability conditions of double integrals associated with difference quotients of Bergman functions. In this talk, we obtain characterizations of similar type for the class of weighted Fock spaces whose weights grow or decay polynomially at ¡Ä. In particular, our result for double-integrability characterization shows that there is no critical case for the Fock spaces under consideration. As applications we also obtain similar characterizations for the corresponding weighted Fock-Sobolev spaces of arbitrary real orders.


ÀϽÃ: 2017³â 5¿ù 31ÀÏ (¼ö) 16:00-17:30


Àå¼Ò: 129µ¿ 301È£





6¿ù 8ÀÏ (¸ñ) ÀÌÇöÈ£ (¿ï»ê´ëÇб³) (ÇаúȸÀÇ °ü°è·Î ¸ñ¿äÀÏ¿¡ ÁøÇàÇÔ)



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

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



----------------------------------------------------------------------------------------------------------------------------------------------



ÀÛ¿ë¼Ò ¼Ò½Ä No.522 (2017.5.22)



À̸§: °­º´Àç

¼Ò¼Ó: Canisius College


Á¦¸ñ: Antipode map on quantum groups and quantum groupoids


ÃÊ·Ï: In the theory of (C*- or vN-algebraic) locally compact quantum groups and quantum groupoids, the antipode (or coinverse) map is typically not part of the defining axioms.  Rather, it is constructed from the existence of the left and right invariant weights.  In this talk, we will discuss how the construction of the antipode map is carried out, and how it is defined in terms of its polar decomposition.  We will mostly consider the quantum group case, but the quantum groupoid case will be also mentioned, by pointing out where the similarities and differences are.


ÀϽÃ: 2017³â 5¿ù 24ÀÏ (¼ö) 16:00-17:30


Àå¼Ò: 129µ¿ 301È£




5¿ù 31ÀÏ (¼ö) ³²°è¼÷ (¼­¿ï´ëÇб³)

6¿ù 8ÀÏ (¸ñ) ÀÌÇöÈ£ (¿ï»ê´ëÇб³) (ÇаúȸÀÇ °ü°è·Î ¸ñ¿äÀÏ¿¡ ÁøÇàÇÔ)



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

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



----------------------------------------------------------------------------------------------------------------------------------------------



ÀÛ¿ë¼Ò ¼Ò½Ä No.521 (2017.5.11)



´ÙÀ½ÁÖ¿¡ °³ÃֵǴ ¾çÀÚ±º ÇÐȸ¿Í 1-day school¿¡ ´ëÇÑ ¾È³»¸¦ µå¸³´Ï´Ù.

________________________________


1-day school on "compact quantum groups and their representations"

________________________________


ÀϽÃ: 5¿ù 13ÀÏ 09:00--17:30

Àå¼Ò: »ó»ê°ü 104È£

________________________________


Uwe Franz (Universite de Franche-Comte):

From Hopf algebras to compact quantum groups (09:00--11:00)


Adam Skalski (Institute of Mathematics Polish Academy of Sciences):

From analysis to algebra and back, via representations(11:30--12:30, 14:00--15:00)


Christian Voigt (University of Glasgow) (University of Glasgow):

Tanaka-Krein duality (15:30--17:30)

________________________________



Topological quantum groups and harmonic analysis, May 15-19, 2017

SNU (Seoul National University), Korea


________________________________


¾Æ·¡ °­¿¬ÀÚµéÀº 3½Ã°£ÀÇ ÁýÁß°­¿¬ÀÌ ¿¹Á¤µÇ¾î ÀÖ½À´Ï´Ù.


Julien Bichon (Universite Blaise Pascal): Homological invariants of discrete quantum groups

Christian Voigt (University of Glasgow): Complex semisimple quantum groups and representation theory

Makoto Yamashita (Ochanomizu University): Categorical duality for actions of compact quantum groups



ÀÚ¼¼ÇÑ »çÇ×Àº ¾Æ·¡ Workshop Homepage¸¦ ÂüÁ¶ÇØÁֽʽÿä.


http://www.math.snu.ac.kr/~hhlee/TopQgpHarmAnal2017.html



----------------------------------------------------------------------------------------------------------------------------------------------



ÀÛ¿ë¼Ò ¼Ò½Ä No.520 (2017.5.5)



À̸§: Nhan-Phu Chung

¼Ò¼Ó: ¼º±Õ°ü´ëÇб³

Á¦¸ñ: Rigidity of group actions


ÃÊ·Ï: In this talk, we will present certain rigidity results for group actions on compact spaces. In the first part, we will provide a new characterization of one end groups via cocycle superrigidity of their full shifts. As a consequence, we have an application in continuous orbit equivalence rigidity. In the second part, we prove that if an action of a finitely generated group is expansive and has the pseudo-orbit tracing property then it is C^0 local rigid. A new characterization of subshifts of finite type over finitely generated groups in term of pseudo-orbit tracing property is also mentioned. The first part is joint with Yongle Jiang and the second part is joint work with Keonhee Lee.


ÀϽÃ: 2017³â 5¿ù 10ÀÏ (¼ö) 16:00-17:30


Àå¼Ò: 129µ¿ 301È£




5¿ù 24ÀÏ (¼ö) °­º´Àç (Canisius College)

5¿ù 31ÀÏ (¼ö) ³²°è¼÷ (¼­¿ï´ëÇб³)

6¿ù 8ÀÏ (¸ñ) ÀÌÇöÈ£ (¿ï»ê´ëÇб³) (ÇаúȸÀÇ °ü°è·Î ¸ñ¿äÀÏ¿¡ ÁøÇàÇÔ)



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

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



----------------------------------------------------------------------------------------------------------------------------------------------



ÀÛ¿ë¼Ò ¼Ò½Ä No.519 (2017.4.21)



À̸§: Hiroyuki Osaka

¼Ò¼Ó: Ritsumeikan University

Á¦¸ñ: THE ROKHLIN PROPERTY FOR ACTIONS OF DISCRETE GROUPS ON C*-ALGEBRAS AND RELATED TOPICS


ÃÊ·Ï: ÆÄÀÏ÷ºÎ


ÀϽÃ: 2017³â 4¿ù 26ÀÏ (¼ö) 16:00-17:30


Àå¼Ò: 129µ¿ 301È£



Âü°í: ¿ù¿äÀÏ ºÎÅÍ À̾îÁö´Â ¿¬¼Ó°­¿¬ÀÇ ¸¶Áö¸· °­¿¬ÀÔ´Ï´Ù. ¾ÕÀÇ °­¿¬À» Âü¿©ÇÏÁö ¸øÇϽô ºÐµéÀ» À§ÇØ ¼¼¹Ì³ª ½ÃÀۺκп¡ ÀÌÀü °­¿¬ ³»¿ëÀÇ ¿ä¾àÀ» ÇØÁֽñâ·Î ÇÏ¿´½À´Ï´Ù.




5¿ù 10ÀÏ (¼ö) Nhan-Phu Chung (¼º±Õ°ü´ëÇб³)

5¿ù 24ÀÏ (¼ö) °­º´Àç (Canisius College)

5¿ù 31ÀÏ (¼ö) ³²°è¼÷ (¼­¿ï´ëÇб³)

6¿ù 8ÀÏ (¸ñ) ÀÌÇöÈ£ (¿ï»ê´ëÇб³) (ÇаúȸÀÇ °ü°è·Î ¸ñ¿äÀÏ¿¡ ÁøÇàÇÔ)



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

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



----------------------------------------------------------------------------------------------------------------------------------------------



ÀÛ¿ë¼Ò ¼Ò½Ä No.518 (2017.4.17)



À̸§: Xiao Xiong

¼Ò¼Ó: ¼­¿ï´ëÇб³

Á¦¸ñ: Similarity degree of twisted group algebras.


ÃÊ·Ï: ÆÄÀÏ÷ºÎ


ÀϽÃ: 2017³â 4¿ù 19ÀÏ (¼ö) 16:00-17:30


Àå¼Ò: 129µ¿ 301È£




4¿ù 26ÀÏ (¼ö) Hiroyuki Osaka (Ritsumeikan University)

5¿ù 10ÀÏ (¼ö) Nhan-Phu Chung (¼º±Õ°ü´ëÇб³)

5¿ù 24ÀÏ (¼ö) °­º´Àç (Canisius College)

5¿ù 31ÀÏ (¼ö) ³²°è¼÷ (¼­¿ï´ëÇб³)

6¿ù 8ÀÏ (¸ñ) ÀÌÇöÈ£ (¿ï»ê´ëÇб³) (ÇаúȸÀÇ °ü°è·Î ¸ñ¿äÀÏ¿¡ ÁøÇàÇÔ)



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

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



----------------------------------------------------------------------------------------------------------------------------------------------



ÀÛ¿ë¼Ò ¼Ò½Ä No.517 (2017.4.9)



À̸§: È²Àμº

¼Ò¼Ó: ¼º±Õ°ü´ëÇб³

Á¦¸ñ: On the n¡¿r inner matrix function


ÃÊ·Ï: If ¥Ä is an n¡¿r inner matrix function, we may ask when we complement ¥Ä to a square inner matrix function by aid of an n¡¿(n-r) matrix function ¥Ä_u, in other words, [¥Ä,¥Ä_u] is an n¡¿n matrix inner function. More generally, if ¥Ä is an n¡¿r inner matrix function, what condition allows us to complement ¥Ä to an n¡¿(r+p) inner matrix function by aid of an n¡¿p matrix function. In this talk, we show that this depends on the degree of cyclicity of ¥Ä. Indeed, we show that if ¥Ä is an n¡¿m inner matrix function then the degree of cyclicity of {¥Ä} is n-(m+p) if and only if [¥Ä,¥Ä_u] is inner for some n¡¿p inner matrix function ¥Ä_u.


ÀϽÃ: 2017³â 4¿ù 12ÀÏ (¼ö) 16:00-17:30


Àå¼Ò: 129µ¿ 301È£




4¿ù 19ÀÏ (¼ö) Xiao Xiong (¼­¿ï´ëÇб³)

4¿ù 26ÀÏ (¼ö) Hiroyuki Osaka (Ritsumeikan University)

5¿ù 10ÀÏ (¼ö) Nhan-Phu Chung (¼º±Õ°ü´ëÇб³)

5¿ù 24ÀÏ (¼ö) °­º´Àç (Canisius College)

5¿ù 31ÀÏ (¼ö) ³²°è¼÷ (¼­¿ï´ëÇб³)

6¿ù 8ÀÏ (¸ñ) ÀÌÇöÈ£ (¿ï»ê´ëÇб³) (ÇаúȸÀÇ °ü°è·Î ¸ñ¿äÀÏ¿¡ ÁøÇàÇÔ)



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

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



----------------------------------------------------------------------------------------------------------------------------------------------



ÀÛ¿ë¼Ò ¼Ò½Ä No.516 (2017.4.3)



À̸§: Jan Stochel

¼Ò¼Ó: Uniwersytet Jagielloński

Á¦¸ñ: Exotic examples related to unbounded subnormality via theory of moments


ÃÊ·Ï:  An example of a non-hyponormal injective composition operator in an L^2-space generating Stieltjes moment sequences, invented by Jablonski, Jung and JS, was built over a non-locally finite directed tree. The main goal of my talk is to show how to solve the problem of whether there exists such an operator over a locally finite directed graph and, in the affirmative case, to find the simplest possible graph with these properties, where simplicity refers to local valency. It will be shown that the problem can be solved affirmatively for the locally finite directed graph $G_{2,0}$, which consists of two branches and one loop. The only simpler directed graph for which the problem remains unsolved consists of one branch and one loop. The consistency condition, which is the only efficient tool for verifying subnormality of unbounded composition operators, will be disccused in the context of the graph $G_{2,0}$. This will lead to a constructive method of solving the problem. The method itself is partly based on transforming the Krein and the Friedrichs measures coming either from shifted Al-Salam-Carlitz q-polynomials or from a quartic birth and death process.


ÀϽÃ: 2017³â 4¿ù 5ÀÏ(¼ö) 16:00-17:30


Àå¼Ò: 129µ¿ 301È£




4¿ù 12ÀÏ (¼ö) ȲÀμº (¼º±Õ°ü´ëÇб³)

4¿ù 19ÀÏ (¼ö) Xiao Xiong (¼­¿ï´ëÇб³)

4¿ù 26ÀÏ (¼ö) Hiroyuki Osaka (Ritsumeikan University)

5¿ù 10ÀÏ (¼ö) Nhan-Phu Chung (¼º±Õ°ü´ëÇб³)

5¿ù 24ÀÏ (¼ö) °­º´Àç (Canisius College)

5¿ù 31ÀÏ (¼ö) ³²°è¼÷ (¼­¿ï´ëÇб³)

6¿ù 7ÀÏ (¼ö) ÀÌÇöÈ£ (¿ï»ê´ëÇб³)



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

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



----------------------------------------------------------------------------------------------------------------------------------------------



ÀÛ¿ë¼Ò ¼Ò½Ä No.515 (2017.3.24)



À̸§: Áö¿î½Ä

¼Ò¼Ó: ÃæºÏ´ëÇб³

Á¦¸ñ: Implementation Problems for Operators on Boson Fock Space


ÃÊ·Ï: We start with general implementation problems on abstract operator algebras. As concrete examples, we study implementation problems for operators on Boson Fock space.
By introducing the notion of quantum white noise derivatives,  we prove that the implementation problems are equivalent to  differential equations associated with the quantum white noise derivatives.
Then by solving the differential equations, we obtain the solutions of our implementation problems  which include the Bogoliubov transformation and a quantum extension of the Cameron-Martin-Girsanov transform. 


ÀϽÃ: 2017³â 3¿ù 29ÀÏ(¼ö) 16:00-17:30


Àå¼Ò: 129µ¿ 301È£




4¿ù 5ÀÏ (¼ö) Jan Stochel (Uniwersytet Jagielloński)

4¿ù 12ÀÏ (¼ö) ȲÀμº (¼º±Õ°ü´ëÇб³)

4¿ù 19ÀÏ (¼ö) Xiao Xiong (¼­¿ï´ëÇб³)

4¿ù 26ÀÏ (¼ö) Hiroyuki Osaka (Ritsumeikan University)

5¿ù 10ÀÏ (¼ö) Nhan-Phu Chung (¼º±Õ°ü´ëÇб³)

5¿ù 24ÀÏ (¼ö) °­º´Àç (Canisius College)

5¿ù 31ÀÏ (¼ö) ³²°è¼÷ (¼­¿ï´ëÇб³)

6¿ù 7ÀÏ (¼ö) ÀÌÇöÈ£ (¿ï»ê´ëÇб³)



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

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



----------------------------------------------------------------------------------------------------------------------------------------------




ÀÛ¿ë¼Ò ¼Ò½Ä No.514 (2017.3.20)


À̸§: Yoshimichi Ueda

¼Ò¼Ó: Kyushu Univ.

Á¦¸ñ: An exposition of the boundary theorem


ÃÊ·Ï: I will give yet another exposition of Arveson's "boundary" theorem, in which a non-commutative Poisson "boundary" in the sense of Izumi naturally shows up. 


ÀϽÃ: 2017³â 3¿ù 22ÀÏ(¼ö) 16:00-17:30


Àå¼Ò: 129µ¿ 301È£



3¿ù 29ÀÏ Áö¿î½Ä (ÃæºÏ´ëÇб³)


4¿ù 5ÀÏ (¼ö) Jan Stochel (Uniwersytet Jagielloński)

4¿ù 12ÀÏ (¼ö) ȲÀμº (¼º±Õ°ü´ëÇб³)

4¿ù 19ÀÏ (¼ö) Xiao Xiong (¼­¿ï´ëÇб³)

4¿ù 26ÀÏ (¼ö) Hiroyuki Osaka (Ritsumeikan University)

5¿ù 10ÀÏ (¼ö) Nhan-Phu Chung (¼º±Õ°ü´ëÇб³)

5¿ù 24ÀÏ (¼ö) °­º´Àç (Canisius College)

5¿ù 31ÀÏ (¼ö) ³²°è¼÷ (¼­¿ï´ëÇб³)

6¿ù 7ÀÏ (¼ö) ÀÌÇöÈ£ (¿ï»ê´ëÇб³)



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

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




----------------------------------------------------------------------------------------------------------------------------------------------




ÀÛ¿ë¼Ò ¼Ò½Ä No.513 (2017.3.9)



À̸§: ÀÌÀÎÇù


¼Ò¼Ó: ÀÌÈ­¿©ÀÚ´ëÇб³


Á¦¸ñ: Positively expansive systems from self-similar graph actions


Abstract: We show that if self-similar graph actions satisfy contracting and regular conditions, then the shift maps on the direct limit spaces of self-similar graph actions are positively expansive local homeomorphisms.


From this, we obtain that the limit solenoids of self-similar graph actions are Smale spaces and that the stable Ruelle algebras of the limit solenoids are strongly Morita equivalent to the Cuntz-Pimsner algebras constructed from self-similar graph actions by Exel and Pardo.


We also compute $K$-theory of the stable Ruelle algebras of the limit solenoids.


ÀϽÃ: 2017³â 3¿ù 15ÀÏ(¼ö) 16:00-17:30


Àå¼Ò: 129µ¿ 301È£



ÀÌÈÄ ÀÏÁ¤


3¿ù 22ÀÏ (¼ö) Yoshimichi Ueda (Kyushu Univ.)


3¿ù 29ÀÏ (¼ö) Áö¿î½Ä (ÃæºÏ´ëÇб³)


4¿ù 5ÀÏ (¼ö) Jan Stochel (Uniwersytet Jagielloński)


4¿ù 12ÀÏ (¼ö) ȲÀμº (¼º±Õ°ü´ëÇб³)


4¿ù 19ÀÏ (¼ö) Xiao Xiong (¼­¿ï´ëÇб³)


4¿ù 26ÀÏ (¼ö) Hiroyuki Osaka (Ritsumeikan University)


5¿ù 10ÀÏ (¼ö) Nhan-Phu Chung (¼º±Õ°ü´ëÇб³)


5¿ù 24ÀÏ (¼ö) °­º´Àç (Canisius College)


5¿ù 31ÀÏ (¼ö) ³²°è¼÷ (¼­¿ï´ëÇб³)


6¿ù 7ÀÏ (¼ö) ÀÌÇöÈ£ (¿ï»ê´ëÇб³)


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



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




----------------------------------------------------------------------------------------------------------------------------------------------




ÀÛ¿ë¼Ò ¼Ò½Ä No.512 (2017.3.3)


À̸§: ÀÌÈÆÈñ

¼Ò¼Ó: ¼­¿ï´ëÇб³

Á¦¸ñ: Quantum strategy, Quantum correlations and Operator algebras

ÀϽÃ: 2017³â 3¿ù 8ÀÏ(¼ö) 16:00-17:30

Àå¼Ò: 129µ¿ 301È£



3¿ù 22ÀÏ (¼ö) Yoshimichi Ueda (Kyushu Univ.)


3¿ù 29ÀÏ (¼ö) Áö¿î½Ä (ÃæºÏ´ëÇб³)


4¿ù 5ÀÏ (¼ö) Jan Stochel


4¿ù 26ÀÏ (¼ö) Hiroyuki Osaka (Ritsumeikan University)


5¿ù 10ÀÏ (¼ö) Nhan-Phu Chung (¼º±Õ°ü´ëÇб³)


5¿ù 24ÀÏ (¼ö) °­º´Àç (Canisius College)


5¿ù 31ÀÏ (¼ö) ³²°è¼÷ (¼­¿ï´ëÇб³)



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

¡Ø ´ÙÀ½ ÁÖ ¼¼¹Ì³ª (3¿ù 8ÀÏ)¿¡´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/