?

단축키

Prev이전 문서

Next다음 문서

크게 작게 위로 아래로 댓글로 가기 인쇄
?

단축키

Prev이전 문서

Next다음 문서

크게 작게 위로 아래로 댓글로 가기 인쇄
Extra Form
일정시작 2020-10-29
배경색상 #036eb7

일시: 10월29일 목요일 오후2시
장소: 27동 220호 (14:00 ~ 16:00)

Title: Peterson conjecture via Lagrangian correspondences and wonderful compactifications

Speaker: 배한울(SNU)

 

Abstract: 

Let G be a compact simply-connected semisimple Lie group and let T be a maximal torus subgroup of G. Peterson conjecture says that the homology of the based loop space of G and the quantum cohomology of the full flag variety G/T are isomorphic as rings after a localization. In a joint work with Naichung Conan Leung, we found a geometric proof of the conjecture using a Floer theoretic technique.

In this talk, I will first discuss the wonderful compactification of the complexified Lie group of G. Identifying the complexified Lie group with the cotangent bundle of G, this helps us to visualize the moment Lagrangian correspondence from the cotangent bundle of G to the square ($G/T^{-} \times G/T$) of the flag variety G/T. Then I will explain that the A-infinity functor associated to the Lagrangian correspondence induces the desired isomorphism.

 

 

장소: 27동 220호 (16:00 ~ 18:00)

Title: A glimpse of derived/spectral algebraic geometry

Speaker: 조창연(SNU)

 

Abstract: 

Derived/spectral algebraic geometry is rather a new area where algebraic geometry is developed in the context of homotopy theory. I'll give a brief overview of this subject with at least one example in which working in the derived/spectral setting is indispensable. If time allows, I'll explain some of my contribution to the subject.


List of Articles
번호 제목 글쓴이 날짜 조회 수
공지 QSMS Mailing List Registration qsms 2021.09.09 1182
107 weekplan_672_2020 secret qsms 2020.11.18 0
106 [QSMS Monthly Seminar] Canonical basis qsms 2020.11.18 6286
105 [QSMS Monthly Seminar] Introduction to cluster algebras (and monoidal categorification) qsms 2020.11.18 6042
» [QSMS Monthly Seminar] Peterson conjecture via Lagrangian correspondences and wonderful compactifications qsms 2020.11.18 20187
103 [Seminar 2020.11.25] On the ordering of the Markov numbers (AM 10:00~12:00) qsms 2020.11.18 1534
102 [초청강연 2020.11.20] Zeta함수와 L함수에 대한 역사적 고찰 qsms 2020.11.18 3211
101 [초청강연 2020.11.27] Zeta함수와 L함수에 대한 역사적 고찰II qsms 2020.11.23 31401
100 [QSMS Monthly Seminar]Introduction to modular curves and modular forms qsms 2020.12.02 738
99 [Seminar 2020.12.03~05]Visual Studio Code를 사용하여 편리한 LaTeX 환경 구축하기 qsms 2020.12.02 1396
98 [Seminar 2020.12.23]Machine-learning for mathematics: case study of number fields and elliptic curves qsms 2020.12.07 833
97 [Seminar 2020.12.10] Zeta함수와 L함수에 대한 역사적 고찰III qsms 2020.12.08 502
96 [Seminar 2020.12.17] Zeta함수와 L함수에 대한 역사적 고찰IV qsms 2020.12.08 441
95 [Seminar 2020.12.23] Zeta함수와 L함수에 대한 역사적 고찰V qsms 2020.12.21 554
94 [Seminar 2020.12.29] Zeta함수와 L함수에 대한 역사적 고찰VI qsms 2020.12.28 614
93 [Seminar 2021.01.07] Zeta함수와 L함수에 대한 역사적 고찰VII qsms 2021.01.04 529
92 [QSMS Monthly Seminiar] Symplectic homology and the McKay correspondence qsms 2021.01.11 944
91 [Seminar 2021.01.21] Zeta함수와 L함수에 대한 역사적 고찰VIII qsms 2021.01.18 648
90 [Seminar 2021.02.25] Zeta함수와 L함수에 대한 역사적 고찰IX qsms 2021.02.22 724
89 [Seminar 2021.03.03] Zeta함수와 L함수에 대한 역사적 고찰X qsms 2021.03.02 8563
88 [Seminar 2021.03.19] Introduction to zeta functions of groups and rings qsms 2021.03.04 1010
Board Pagination Prev 1 2 3 4 5 6 Next
/ 6