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 37547
102 [QSMS Seminar 2022-10-25] Rational liftings and gRSK qsms 2022.10.08 17074
101 [QSMS Seminar 2022-12-2] N=2 supersymmetric W algebras from Hamiltonian reduction qsms 2022.11.25 16816
100 [QSMS Seminar 2022.03.04 (시간변경)] Introduction to Supersymmetric Field Theories qsms 2022.02.15 18675
99 [QSMS Seminar 2022.04.05] Trialities of W-algebras qsms 2022.02.15 18617
98 [QSMS Seminar 2022.04.19] Universal objects in vertex algebra theory qsms 2022.04.07 19886
97 [QSMS Seminar 20220721] Finding ALL solutions qsms 2022.07.14 18172
96 [QSMS Seminar 2023-05-17] Affinizations, R-matrices and reflection functors qsms 2023.05.04 19061
» [QSMS Seminar 2023-10-06, 11-03] Algebraic group analogues of the Slodowy slices and the structure of the set of conjugacy classes in algebraic groups / Poisson q-W-algebras qsms 2023.09.11 19639
94 [QSMS Seminar 2023-12-13] A user’s guide to Schubert calculus of Lagrangian Grassmannians qsms 2023.11.27 19674
93 [QSMS Seminar 2024-06-05] Curves, line bundles and Fourier transform qsms 2024.06.02 14813
92 [QSMS Symplectic geometry seminar 2023-10-17, 18] New approaches to discovering symplectic non-convexity / Banach-Mazur distances in symplectic and contact geometry qsms 2023.10.10 18523
91 [QSMS Symplectic geometry seminar 2023-10-24] Linear bounds on rho-invariants and simplicial complexity of manifolds qsms 2023.10.24 18793
90 [QSMS Symplectic geometry seminar-20240805] Donaldson divisors and spectral invariants qsms 2024.08.03 582
89 [QSMS Symplectic geometry seminar-20240812] Quantitative Floer theory and coefficients qsms 2024.08.03 404
88 [QSMS Symplectic geometry seminar-20240812] Exact Lagrangian tori in symplectic Milnor fibers constructed with fillings qsms 2024.08.10 306
87 [QSMS Symplectic geometry seminar-20240822] Outer symplectic billiard qsms 2024.08.22 483
86 [QSMS Symplectic geometry seminar-20241105] 3d mirror symmetry I, II qsms2 2024.10.29 472
85 [QSMS Symplectic topology seminar 20230811, 0817] Spectral numbers in Tate Rabinowitz Floer Homology qsms 2023.08.04 19399
84 [QSMS Symplectic topology seminar 20230817] Symplectic Torelli classes of positive entropy qsms 2023.08.14 19709
83 [QSMS Symplectic topology seminar 2024-07-03] Localized mirror functor and Nakajima quiver varieties qsms 2024.07.02 15373
Board Pagination Prev 1 2 3 4 5 6 7 8 9 Next
/ 9