ÀÛ¿ë¼Ò ¼Ò½Ä No.590 (2020.11.30)



2020³â 2Çб⿡´Â ÀÛ¿ë¼Ò ¼¼¹Ì³ª¸¦ ´ë¸é/ºñ´ë¸é º´ÇàÀ¸·Î ÁøÇàÇÕ´Ï´Ù. ºñ´ë¸éÀ¸·Î Âü¼®ÇϽðíÀÚ ÇÏ´Â ºÐµé²²¼­´Â ¾Æ·¡ Zoom Á¢¼Ó Á¤º¸¸¦ È®ÀÎÇØÁֽʽÿä.


À̸§: À̿쿵


¼Ò¼Ó: ¼­¿ï´ëÇб³


Á¦¸ñ: Spectral multiplicity of model operators


ÃÊ·Ï: In this talk we consider the spectral multiplicity of model operators. In particular, we consider the following question: For which characteristic function of the model operator T, does it follow that T has a cyclic vector?


ÀϽÃ: 2020³â 12¿ù 02ÀÏ (¼ö) 16:00-17:30


Àå¼Ò:

(´ë¸é) 129µ¿ 301È£

(ºñ´ë¸é) ZoomÀ¸·Î Á¢¼Ó


¸µÅ©

https://snu-ac-kr.zoom.us/j/3565013138?pwd=TmliRStHV1U0VG5NOUNiRTFVWU5RZz09


ȸÀÇ ID: 356 501 3138

¾ÏÈ£: 471247


ÀÌÈÄ ÀÛ¿ë¼Ò ¼¼¹Ì³ª ÀÏÁ¤




¡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/





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ÀÛ¿ë¼Ò ¼Ò½Ä No.589 (2020.11.23)



2020³â 2Çб⿡´Â ÀÛ¿ë¼Ò ¼¼¹Ì³ª¸¦ ´ë¸é/ºñ´ë¸é º´ÇàÀ¸·Î ÁøÇàÇÕ´Ï´Ù. ºñ´ë¸éÀ¸·Î Âü¼®ÇϽðíÀÚ ÇÏ´Â ºÐµé²²¼­´Â ¾Æ·¡ Zoom Á¢¼Ó Á¤º¸¸¦ È®ÀÎÇØÁֽʽÿä.


À̸§: ÀÌ»ç°è


¼Ò¼Ó: ¼­¿ï´ëÇб³


Á¦¸ñ: A Non-selfadjoint Representation of operators on a Hilbert or Hamilton Space


ÃÊ·Ï: We discuss a non-selfadjoint representation of operators on a Hilbert or Hamilton space in relation with the invariant subspace problem.


ÀϽÃ: 2020³â 11¿ù 25ÀÏ (¼ö) 16:00-17:30


Àå¼Ò:

(´ë¸é) 129µ¿ 301È£

(ºñ´ë¸é) ZoomÀ¸·Î Á¢¼Ó


¸µÅ©

https://snu-ac-kr.zoom.us/j/3565013138?pwd=TmliRStHV1U0VG5NOUNiRTFVWU5RZz09


ȸÀÇ ID: 356 501 3138

¾ÏÈ£: 471247


ÀÌÈÄ ÀÛ¿ë¼Ò ¼¼¹Ì³ª ÀÏÁ¤


12¿ù 2ÀÏ(Á¾°­): À̿쿵




¡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/





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ÀÛ¿ë¼Ò ¼Ò½Ä No.588 (2020.11.16)



2020³â 2Çб⿡´Â ÀÛ¿ë¼Ò ¼¼¹Ì³ª¸¦ ´ë¸é/ºñ´ë¸é º´ÇàÀ¸·Î ÁøÇàÇÕ´Ï´Ù. ºñ´ë¸éÀ¸·Î Âü¼®ÇϽðíÀÚ ÇÏ´Â ºÐµé²²¼­´Â ¾Æ·¡ Zoom Á¢¼Ó Á¤º¸¸¦ È®ÀÎÇØÁֽʽÿä.


À̸§: Á¤ÀÚ¾Æ


¼Ò¼Ó: ¼­¿ï´ëÇб³


Á¦¸ñ: Cuntz-Pimsner algebras of C*-correspondences over commutative C*-algebras


ÃÊ·Ï:  A C*-correspondence over a C*-algebra A is a right Hilbert A-module with a left action of A. If X is an infinite compact metric space and a C*-correspondence E over a commutative C*-algebra C(X) is finitely generated and projective, the celebrated Serre-Swan theorem says that there is a finite rank vector bundle V such that E is isomorphic to the continuous sections \Gamma(V) of V as right C(X)-modules. We can equip \Gamma(V) with an inner product that makes \Gamma(V) into a right Hilbert C(X)-module. We also define a left action of C(X) on \Gamma(V) by twisting the right action of C(X) by a homeomorphism h on X, which then gives us a C*-correspondence \Gamma(V,h). In this talk, we discuss when the Cuntz-Pimsner algebra of \Gamma(V,h) is simple, and show that it is classifiable via Elliott's invariants if it is simple.


ÀϽÃ: 2020³â 11¿ù 18ÀÏ (¼ö) 16:00-17:30


Àå¼Ò:

(´ë¸é) 129µ¿ 301È£

(ºñ´ë¸é) ZoomÀ¸·Î Á¢¼Ó


¸µÅ©

https://snu-ac-kr.zoom.us/j/3565013138?pwd=TmliRStHV1U0VG5NOUNiRTFVWU5RZz09


ȸÀÇ ID: 356 501 3138

¾ÏÈ£: 471247


ÀÌÈÄ ÀÛ¿ë¼Ò ¼¼¹Ì³ª ÀÏÁ¤


11¿ù 25ÀÏ: ÀÌ»ç°è


12¿ù 2ÀÏ(Á¾°­): À̿쿵




¡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/





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ÀÛ¿ë¼Ò ¼Ò½Ä No.587 (2020.11.09)



2020³â 2Çб⿡´Â ÀÛ¿ë¼Ò ¼¼¹Ì³ª¸¦ ´ë¸é/ºñ´ë¸é º´ÇàÀ¸·Î ÁøÇàÇÕ´Ï´Ù. ºñ´ë¸éÀ¸·Î Âü¼®ÇϽðíÀÚ ÇÏ´Â ºÐµé²²¼­´Â ¾Æ·¡ Zoom Á¢¼Ó Á¤º¸¸¦ È®ÀÎÇØÁֽʽÿä.


À̸§: Simeng Wang


¼Ò¼Ó: Laboratoire de Mathématiques d'Orsay


Á¦¸ñ: On the convergences of random walks on quantum groups : cutoff phenonmenon and its limit profiles


ÃÊ·Ï: The celebrated cutoff phenomenon was first discovered by Diaconis and Shahshahani in 1981 for random transpositions, or intuitively for random « card shuffles » : imagine a deck of N cards spread on a table, randomly select one of them uniformly, and then another one uniformly; if one card is chosen twice, then do nothing; otherwise swap the two cards. For a number of steps, the distribution of permutations of cards stays far apart from stationarity and then it suddenly drops exponentially close to it. In this talk, I will present the similar random walk theory on compact quantum groups, and in particular present a recent analogous result in the setting of quantum random transpositions, and discuss the associated precise limit profile of this phenomenon, whose type is different from the previously known classical examples and involves free Poisson laws and free Meixner laws. If time permits, I will also discuss similar results for Brownian motions on free quantum groups.


This is joint work with Amaury Freslon and Lucas Teyssier.


ÀϽÃ: 2020³â 11¿ù 11ÀÏ (¼ö) 16:00-17:30


Àå¼Ò:

(´ë¸é) 129µ¿ 301È£

(ºñ´ë¸é) ZoomÀ¸·Î Á¢¼Ó


¸µÅ©

https://snu-ac-kr.zoom.us/j/3565013138?pwd=TmliRStHV1U0VG5NOUNiRTFVWU5RZz09


ȸÀÇ ID: 356 501 3138

¾ÏÈ£: 471247


ÀÌÈÄ ÀÛ¿ë¼Ò ¼¼¹Ì³ª ÀÏÁ¤


11¿ù 18ÀÏ: Á¤ÀÚ¾Æ


11¿ù 25ÀÏ: ÀÌ»ç°è


12¿ù 2ÀÏ(Á¾°­): À̿쿵




¡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/





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ÀÛ¿ë¼Ò ¼Ò½Ä No.586 (2020.11.02)



2020³â 2Çб⿡´Â ÀÛ¿ë¼Ò ¼¼¹Ì³ª¸¦ ´ë¸é/ºñ´ë¸é º´ÇàÀ¸·Î ÁøÇàÇÕ´Ï´Ù. ºñ´ë¸éÀ¸·Î Âü¼®ÇϽðíÀÚ ÇÏ´Â ºÐµé²²¼­´Â ¾Æ·¡ Zoom Á¢¼Ó Á¤º¸¸¦ È®ÀÎÇØÁֽʽÿä.


À̸§: ±è½ÂÇõ


¼Ò¼Ó: ÇѾç´ëÇб³


Á¦¸ñ: Non-degeneracy for the critical Lane-Emden system and its applications


ÃÊ·Ï: We will see that all solutions to the linearized system of the critical Lane-Emden system around a ground state must arise 

from its symmetries provided that they belong to the corresponding energy space, or they decay to 0 uniformly as the point tends to infinity. 

Also, we will discuss how this result can be applied and extended.

The talk is based on joint work with R. L. Frank and A. Pistoia.


ÀϽÃ: 2020³â 11¿ù 04ÀÏ (¼ö) 16:00-17:30


Àå¼Ò:

(´ë¸é) 129µ¿ 301È£

(ºñ´ë¸é) ZoomÀ¸·Î Á¢¼Ó


¸µÅ©

https://snu-ac-kr.zoom.us/j/3565013138?pwd=TmliRStHV1U0VG5NOUNiRTFVWU5RZz09


ȸÀÇ ID: 356 501 3138

¾ÏÈ£: 471247


ÀÌÈÄ ÀÛ¿ë¼Ò ¼¼¹Ì³ª ÀÏÁ¤


11¿ù 11ÀÏ Simeng Wang


11¿ù 18ÀÏ: Á¤ÀÚ¾Æ


11¿ù 25ÀÏ: ÀÌ»ç°è


12¿ù 2ÀÏ(Á¾°­): À̿쿵




¡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/





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ÀÛ¿ë¼Ò ¼Ò½Ä No.585 (2020.10.26)



2020³â 2Çб⿡´Â ÀÛ¿ë¼Ò ¼¼¹Ì³ª¸¦ ´ë¸é/ºñ´ë¸é º´ÇàÀ¸·Î ÁøÇàÇÕ´Ï´Ù. ºñ´ë¸éÀ¸·Î Âü¼®ÇϽðíÀÚ ÇÏ´Â ºÐµé²²¼­´Â ¾Æ·¡ Zoom Á¢¼Ó Á¤º¸¸¦ È®ÀÎÇØÁֽʽÿä.


À̸§: Ion Nechita


¼Ò¼Ó: Laboratoire de Physique Théorique in Toulouse, France


Á¦¸ñ: Multipartite entanglement detection via projective tensor norms


ÃÊ·Ï: We define and study a class of entanglement criteria based on the idea of applying local contractions to an input multipartite state, and then computing the projective tensor norm of the output. I will start by explaining what tensor norms are, and how they are related to quantum entanglement. The local contractions that we consider are from Schatten 1-norm to the euclidean norm, that is from a non-commutative space to a commutative one. This is what makes such entanglement criteria interesting in practice: they can be seen as reducing the study of mixed state entanglement to that of pure state entanglement, which is an easier task. We analyze the performance of these general criteria on bipartite and multipartite states, for pure and mixed states, as well as on some important classes of symmetric quantum states. On the way, we answer in the positive a conjecture of Shang, Asadian, Zhu, and Gühne by deriving a systematic relation between the performance of the realignment and SIC-POVM criteria. This is joint work with Maria Jivulescu and Cécilia Lancien.


ÀϽÃ: 2020³â 10¿ù 28ÀÏ (¼ö) 16:00-17:30


Àå¼Ò:

(´ë¸é) 129µ¿ 301È£

(ºñ´ë¸é) ZoomÀ¸·Î Á¢¼Ó


¸µÅ©

https://snu-ac-kr.zoom.us/j/3565013138?pwd=TmliRStHV1U0VG5NOUNiRTFVWU5RZz09


ȸÀÇ ID: 356 501 3138

¾ÏÈ£: 471247


ÀÌÈÄ ÀÛ¿ë¼Ò ¼¼¹Ì³ª ÀÏÁ¤


11¿ù 4ÀÏ ±è½ÂÇõ


11¿ù 11ÀÏ Simeng Wang


11¿ù 18ÀÏ: Á¤ÀÚ¾Æ


11¿ù 25ÀÏ: ÀÌ»ç°è


12¿ù 2ÀÏ(Á¾°­): À̿쿵




¡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/





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ÀÛ¿ë¼Ò ¼Ò½Ä No.584 (2020.10.12)



2020³â 2Çб⿡´Â ÀÛ¿ë¼Ò ¼¼¹Ì³ª¸¦ ´ë¸é/ºñ´ë¸é º´ÇàÀ¸·Î ÁøÇàÇÕ´Ï´Ù. ºñ´ë¸éÀ¸·Î Âü¼®ÇϽðíÀÚ ÇÏ´Â ºÐµé²²¼­´Â ¾Æ·¡ Zoom Á¢¼Ó Á¤º¸¸¦ È®ÀÎÇØÁֽʽÿä.


À̸§: °­ÀºÁö


¼Ò¼Ó: ¼­¿ï´ëÇб³


Á¦¸ñ: Prime and primitive ideals of the C*-algebra of a generalized boolean dynamical system


ÃÊ·Ï: We introduce the C∗-algebras of generalized Boolean dynamical systems which contains all C∗-algebras of Boolean dynamical systems and all weakly left-resolving normal labelled graph C∗-algebras. We then completely determine the prime ideals of our C∗-algebra, and show that most of them are primitive. This talk is based on a cowork with Toke Meier Carlsen (University of the Faroe islands).


ÀϽÃ: 2020³â 10¿ù 14ÀÏ (¼ö) 16:00-17:30


Àå¼Ò:

(´ë¸é) 129µ¿ 301È£

(ºñ´ë¸é) ZoomÀ¸·Î Á¢¼Ó


¸µÅ©

https://snu-ac-kr.zoom.us/j/3565013138?pwd=TmliRStHV1U0VG5NOUNiRTFVWU5RZz09


ȸÀÇ ID: 356 501 3138

¾ÏÈ£: 471247


ÀÌÈÄ ÀÛ¿ë¼Ò ¼¼¹Ì³ª ÀÏÁ¤


10¿ù 28ÀÏ


11¿ù 4ÀÏ


11¿ù 11ÀÏ


11¿ù 18ÀÏ: Á¤ÀÚ¾Æ


11¿ù 25ÀÏ: ÀÌ»ç°è


12¿ù 2ÀÏ(Á¾°­): À̿쿵




¡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/





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ÀÛ¿ë¼Ò ¼Ò½Ä No.583 (2020.10.05)



2020³â 2Çб⿡´Â ÀÛ¿ë¼Ò ¼¼¹Ì³ª¸¦ ´ë¸é/ºñ´ë¸é º´ÇàÀ¸·Î ÁøÇàÇÕ´Ï´Ù. ºñ´ë¸éÀ¸·Î Âü¼®ÇϽðíÀÚ ÇÏ´Â ºÐµé²²¼­´Â ¾Æ·¡ Zoom Á¢¼Ó Á¤º¸¸¦ È®ÀÎÇØÁֽʽÿä.


À̸§: °è½ÂÇõ


¼Ò¼Ó: ¼­¿ï´ëÇб³


Á¦¸ñ: One-sided mapping cones in matrix algebras and application to quantum information theory


ÃÊ·Ï: The notion of mapping cones in operator algebras was introduced by Erling Stormer in the 1980s to consider extension problems of positive maps. Recently, this has been known to be useful to explain various notions from current quantum information theory. In this talk, we introduce "one-sided" mapping cones in matrix algebras, to recover various criteria for entanglement, Schmidt numbers from quantum information theory as well as decomposability and k-positivity from operator algebras. Furthermore, we show that such criteria hold if and only if the involving convex cones are one-sided mapping cones. This talk is based on a cowork (arXiv 2002.09614) with Erling Stormer (Oslo, Norway) and Mark Girard (Waterloo, Canada)


ÀϽÃ: 2020³â 10¿ù 7ÀÏ (¼ö) 16:00-17:30


Àå¼Ò:

(´ë¸é) 129µ¿ 301È£

(ºñ´ë¸é) ZoomÀ¸·Î Á¢¼Ó


¸µÅ©

https://snu-ac-kr.zoom.us/j/3565013138?pwd=TmliRStHV1U0VG5NOUNiRTFVWU5RZz09


ȸÀÇ ID: 356 501 3138

¾ÏÈ£: 471247


ÀÌÈÄ ÀÛ¿ë¼Ò ¼¼¹Ì³ª ÀÏÁ¤


10¿ù 14ÀÏ: °­ÀºÁö


10¿ù 28ÀÏ


11¿ù 4ÀÏ


11¿ù 11ÀÏ


11¿ù 18ÀÏ: Á¤ÀÚ¾Æ


11¿ù 25ÀÏ: ÀÌ»ç°è


12¿ù 2ÀÏ(Á¾°­): À̿쿵




¡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/





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ÀÛ¿ë¼Ò ¼Ò½Ä No.582 (2020.09.28)



Ãß¼® ¿¬ÈÞ¸¦ ¸ÂÀÌÇÏ¿© À̹øÁÖ (09.30) ÀÛ¿ë¼Ò ¼¼¹Ì³ª´Â ¾ø½À´Ï´Ù.


¾Æ¿ï·¯¼­ ÀÌÈÄ ÀÛ¿ë¼Ò ¼¼¹Ì³ª ÀÏÁ¤¿¡¼­ °è½ÂÇõ ±³¼ö´ÔÀÇ ¹ßÇ¥ ÀÏÀÚ¿Í °­ÀºÁö ¹Ú»ç´ÔÀÇ ¹ßÇ¥ ÀÏÀÚ°¡ º¯°æµÇ¾úÀ½À» ¾Ë·Áµå¸³´Ï´Ù.



ÀÌÈÄ ÀÛ¿ë¼Ò ¼¼¹Ì³ª ÀÏÁ¤


10¿ù 7ÀÏ: °­ÀºÁö


10¿ù 14ÀÏ: °è½ÂÇõ


10¿ù 28ÀÏ


11¿ù 4ÀÏ


11¿ù 11ÀÏ


11¿ù 18ÀÏ: Á¤ÀÚ¾Æ


11¿ù 25ÀÏ: ÀÌ»ç°è


12¿ù 2ÀÏ(Á¾°­): À̿쿵




¡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/





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ÀÛ¿ë¼Ò ¼Ò½Ä No.581 (2020.09.21)





2020³â 2Çб⿡´Â ÀÛ¿ë¼Ò ¼¼¹Ì³ª¸¦ ´ë¸é/ºñ´ë¸é º´ÇàÀ¸·Î ÁøÇàÇÕ´Ï´Ù. ºñ´ë¸éÀ¸·Î Âü¼®ÇϽðíÀÚ ÇÏ´Â ºÐµé²²¼­´Â ¾Æ·¡ Zoom Á¢¼Ó Á¤º¸¸¦ È®ÀÎÇØÁֽʽÿä.


À̸§: ¹ÚÀçÈÖ


¼Ò¼Ó: ¼­¿ï´ëÇб³


Á¦¸ñ: An inverse problem for kernels of Hankel operators


ÃÊ·Ï: By Beurling-Lax-Halmos theorem the kernel of a block Hankel operator is described by an accociated inner matrix. When the inner matrix is square, there is an explicit relation between the symbol function of the block Hankel operator and the inner matrix [GHR]. When the inner matrix is not square, little is known for the connection of the symbol function and the inner matrix. Recently, an insightful index of a matrix-valued function [Ka] illuminates a numerical relation between the index of the symbol and the size of the nonsquare inner matrix. In this talk, we find the explicit relation between the symbols of block Hankel operators and their associated nonsquare inner matrices.


ÀϽÃ: 2020³â 09¿ù 23ÀÏ (¼ö) 16:00-17:30


Àå¼Ò:

(´ë¸é) 129µ¿ 301È£

(ºñ´ë¸é) ZoomÀ¸·Î Á¢¼Ó


¸µÅ©

https://snu-ac-kr.zoom.us/j/3565013138?pwd=TmliRStHV1U0VG5NOUNiRTFVWU5RZz09


ȸÀÇ ID: 356 501 3138

¾ÏÈ£: 471247


ÀÌÈÄ ÀÛ¿ë¼Ò ¼¼¹Ì³ª ÀÏÁ¤


10¿ù 7ÀÏ: °­ÀºÁö


10¿ù 14ÀÏ: °è½ÂÇõ


10¿ù 28ÀÏ


11¿ù 4ÀÏ


11¿ù 11ÀÏ


11¿ù 18ÀÏ: Á¤ÀÚ¾Æ


11¿ù 25ÀÏ: ÀÌ»ç°è


12¿ù 2ÀÏ(Á¾°­): À̿쿵




¡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/





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ÀÛ¿ë¼Ò ¼Ò½Ä No.580 (2020.09.14)



2020³â 2Çб⿡´Â ÀÛ¿ë¼Ò ¼¼¹Ì³ª¸¦ ´ë¸é/ºñ´ë¸é º´ÇàÀ¸·Î ÁøÇàÇÕ´Ï´Ù. ºñ´ë¸éÀ¸·Î Âü¼®ÇϽðíÀÚ ÇÏ´Â ºÐµé²²¼­´Â ¾Æ·¡ Zoom Á¢¼Ó Á¤º¸¸¦ È®ÀÎÇØÁֽʽÿä.


À̸§: À̱âÇö


¼Ò¼Ó: ¼­¿ï´ëÇб³


Á¦¸ñ: The $C^*$-algebraic formulation of quantum mechanics and superoperators


ÃÊ·Ï: This talk is divided into two parts. In the first part, we discuss why a $C^*$-algebra is the suitable language for the mathematical description of quantum mechanics, and the physical implications of the basic theorems of $C^*$-algebras, e.g., the Gelfand-Naimark theorem. The second part is based on joint work with Max Lein (AIMR, Tohoku University, Sendai). The $C^*$-algebra of observables of a certain quantum system can be seen as a crossed product $C^*$-algebra, and the connection between the Weyl pseudodifferential calculus and crossed product $C^*$-algebras enables us to see such an algebra of observables from an analytic point of view. Furthermore, a linear map from a given algebra of observables to itself, namely, a superoperator, plays an important role in some profound studies of quantum mechanics. We introduce a novel pseudodifferential calculus which enables an analytic study of superoperators, and mention a few possible future applications of this calculus.


ÀϽÃ: 2020³â 09¿ù 16ÀÏ (¼ö) 16:00-17:30


Àå¼Ò:

(´ë¸é) 129µ¿ 301È£

(ºñ´ë¸é) ZoomÀ¸·Î Á¢¼Ó


¸µÅ©

https://snu-ac-kr.zoom.us/j/3565013138?pwd=TmliRStHV1U0VG5NOUNiRTFVWU5RZz09


ȸÀÇ ID: 356 501 3138

¾ÏÈ£: 471247


ÀÌÈÄ ÀÛ¿ë¼Ò ¼¼¹Ì³ª ÀÏÁ¤


9¿ù 23ÀÏ: ¹ÚÀçÈÖ


10¿ù 7ÀÏ: °­ÀºÁö


10¿ù 14ÀÏ: °è½ÂÇõ


10¿ù 28ÀÏ


11¿ù 4ÀÏ


11¿ù 11ÀÏ


11¿ù 18ÀÏ: Á¤ÀÚ¾Æ


11¿ù 25ÀÏ: ÀÌ»ç°è


12¿ù 2ÀÏ(Á¾°­): À̿쿵




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ÀÛ¿ë¼Ò ¼Ò½Ä No.579 (2020.09.07.)



2020³â 2Çб⿡´Â ÀÛ¿ë¼Ò ¼Ò½ÄÀ» ´ë¸é/ºñ´ë¸é º´ÇàÀ¸·Î ÁøÇàÇÕ´Ï´Ù. ºñ´ë¸éÀ¸·Î Âü¼®ÇϽðíÀÚ ÇÏ´Â ºÐµé²²¼­´Â ¾Æ·¡ Zoom Á¢¼Ó Á¤º¸¸¦ È®ÀÎÇØÁֽʽÿä.


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Á¦¸ñ: Rapid decay property for orthogonal free quantum groups


ÃÊ·Ï: Rapid decay property (RD) of discrete groups is a fundamental tool in the study of reduced group C*-algebras, and allows one to compare the operator norm of convolution operators with much simpler l2-norms. This property was studied for discrete quantum groups by means of 'quantum RD' and 'twisted quantum RD', and it was an open question whether non-amenable orthogonal free quantum groups satisfy twisted quantum RD. It has turned out that this question has the negative answer, but a weakened RD is always satisfied. Moreover, this weakened RD allows us to get (almost) optimal time for ultracontractivity of heat semigroups. This talk is based on recent joint work with Michael Brannan and Roland Vergnioux.


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https://snu-ac-kr.zoom.us/j/3565013138?pwd=TmliRStHV1U0VG5NOUNiRTFVWU5RZz09


ȸÀÇ ID: 356 501 3138

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http://www.math.snu.ac.kr/~kye/seminar/