Extra Form
일정시작 2023-10-06
일정종료 2023-11-03
배경색상 #77CC00
반복주기 14
반복단위 1.일(단위)
  • Date:  2023-10-06 (Fri) 18:00 ~ 19:30,   2023-11-03 (Fri) 18:00 ~ 19:30
  • Place:  Zoom 

  • Speaker:  Alexey Sevastyanov (University of Aberdeen)
  • Lecture 1:  Algebraic group analogues of the Slodowy slices and the structure of the set of conjugacy classes in algebraic groups.  

    Abstract: In this lecture I shall introduce algebraic group analogues of the Slodowy slices and prove an analogue of the Kostant cross-section theorem for them. Then I shall discuss how these slices intersect the strata of the Lusztig partition.  It is based on Sections 1.1-1.5 of my book "Q-W-algebras, Zhelobenko operators and a proof of De Concini-Kac-Procesi conjecture" (arXiv:2102.03208)  

  • Lecture 2:  Poisson q-W-algebras.   

Abstract: In this lecture, using Poisson reduction technique and the theory of Poisson-Lie groups, I shall introduce Poisson structures on the algebraic group analogues of the Slodowy slices which have important applications in representation theory of quantum groups. An explicit formula for these Poisson structures will be given.  It is based on Sections 4 and 5 of my paper "Algebraic group analogues of Slodowy slices and deformations of Poisson W–algebras", Int. Math. Res. Not. 2011 (2011), 1880–1925 and Section 3 of my paper "The structure of q-W algebras", Transf. Groups 25, no. 1 (2020), 279–304.  

 

In both lectures I shall  work  over more general fields to cover the finite-dimensional and the affine case at the same time.  Some familiarity with the theory of algebraic/Lie groups and Weyl group theory is assumed in Lecture 1, and with Poisson geometry in Lecture 2.    

 

 


List of Articles
번호 제목 글쓴이 날짜 조회 수
공지 QSMS Mailing List Registration qsms 2021.09.09 34350
92 [QSMS-BK21 Toric Geometry Seminar] Moduli Space of Special Lagrangians in the Complement of an Anticanonical Divisor qsms 2022.04.12 15575
91 [QSMS-BK21 Symplectic Seminar 9 June] Physical Aspects of the Calegaro System / Introduction to BV Formalism qsms 2023.06.26 14215
90 [QSMS-BK21 Symplectic Seminar 30 June] Matrix Factorizations qsms 2023.06.26 16947
89 [QSMS-BK21 Symplectic Seminar 28 July] Nonexistence of Exact K(G,1) Lagrangians in Milnor Fibers of Weighted Homogeneous Polynomials / Associative Yang-Baxter Equation and Fukaya Categories qsms 2023.07.17 17847
88 [QSMS-BK21 Symplectic Seminar 28 Apr] PGL(2,Q_p)-ORBIT CLOSURES ON A p-ADIC HOMOGENEOUS SPACE OF INFINITE VOLUME qsms 2023.05.12 16059
87 [QSMS-BK21 Symplectic Seminar 26 May] 1. Product structures on the relative symplectic cohomology 2. Symplectic homology of affine varieties qsms 2023.05.25 17199
86 [QSMS-BK21 Symplectic Seminar 14 July] Introduction to 3D Mirror Symmetry, from a Symplectic Viewpoint / Orbifolding Lagrangian Floer Cohomology qsms 2023.07.12 16805
85 [QSMS-BK21 Symplectic Seminar 12 May] Introduction to Floer Homotopy: Global Kuranishi Charts via Abouzaid-McLean-Smith qsms 2023.05.12 17022
84 [QSMS-BK21 Symplectic Seminar 10 Mar] Mirror Symmetry for Log Calabi-Yau Surfaces qsms 2023.03.09 18430
83 [QSMS-BK21 symplectic semiar] Part 4 (23' Aug 18 ~) qsms 2023.12.27 17486
82 [QSMS-BK21 Symplectic Geometry Seminar 2022-12-09] Introduction to Floer Homotopy: Formal Groups and Complex Cobordism qsms 2022.11.28 16308
81 [QSMS-BK21 Symplectic Geometry Seminar 2022-11-04] Introduction to Floer Homotopy: Kuranishi Structures qsms 2022.10.26 16406
80 [QSMS-BK21 Symplectic Geometry Seminar 2022-09-30] Introduction to Floer Homotopy: Bordism and Flow Categories qsms 2022.09.26 18075
79 [QSMS-BK21 Seminar] Past seminars qsms 2022.08.26 15707
78 [QSMS-BK21 Seminar 2022-08-29] Symplectic Cohomology, String Topology, and Deformations qsms 2022.08.29 16794
77 [QSMS 집중강연 Representation theory 2023-02-13] Mini-course on quantum symmetric pairs II qsms 2023.01.05 16017
76 [QSMS 집중강연 Representation theory 2023-02-07] Mini-course on quantum symmetric pairs I qsms 2023.01.03 15044
75 [QSMS 위상기하 세미나 2021.11.25] Exotic families of Weinstein manifolds with Milnor fibers of ADE types qsms 2021.11.19 15555
74 [QSMS 기하/위상 세미나 2021.09.06] The mirror P=W conjecture from homological mirror symmetry of Fano manifolds qsms 2021.09.03 16793
73 [QSMS Symplectic topology seminar-20240514] Computing Fukaya categories: Techniques and Examples qsms 2024.05.10 12570
Board Pagination Prev 1 2 3 4 5 6 7 8 Next
/ 8