Extra Form
일정시작 2025-05-23
일정종료 2025-05-23
배경색상 #036eb7

2025년 05월 QSMS  Monthly Seminar

 

  • Date:   May 22th (Fri) 14:00 ~ 17:00
  • Place:  27-220 (SNU)
  • Contents:

 

Speaker:  조철현 (SNU)

Title:  Simple Lie algebras from simple curve singularities
Abstract:  We give a geometric construction of simple Lie algebras from the corresponding simple singularities. Milnor fibers of each simple singularities are rearranged to form, what we call, a Coxeter wheel, whose equivalence class of edges and diagonals can be identified with the corresponding root system of the Lie algebra. We give a geometric definition of Lie brackets using elementary operations in singularity theory. This is a joint work Wonbo Jeong with Beom-seok Kim

 

Speaker:  김종명 (SNU)

Title:   Constructing a new Fukaya category for a marked disk

Abstract:  $A_n$ Milnor fibers are often used as testing grounds for symplectic geometry. Although we have a good understanding of these spaces, many aspects still remain unclear. One of such aspects is the cluster structures on the Rabinowitz Fukaya categories of $A_n$ Milnor fibers. In order to understand these structures, we are attempting to construct a new Fukaya category for a marked disk by "unspecializing" the dimension of an $A_n$ Milnor fiber. This can be viewed as a symplectogeometric realization of the Calabi-Yau X-category introduced by Ikeda and Qiu, or as a categorification of the work of Khovanov and Seidel. In this talk, I will provide an overview and discuss the current state of our project. This is based on an ongoing work with Hanwool Bae and Wonbo Jeong.

 

 


List of Articles
번호 제목 글쓴이 날짜 조회 수
공지 QSMS Mailing List Registration qsms 2021.09.09 93237
170 [QSMS Symplectic Learning Seminar-2025-0610] Simple homotopy theory for Fukaya categories qsms 2025.05.27 1300
169 [QSMS Symplectic Learning Seminar-2025-06-02] Topological Fukaya categories of orbifold surfaces and a new class of algebras qsms 2025.05.27 1234
» [QSMS Monthly Seminar 2025-05-23] Simple Lie algebras from simple curve singularities / Constructing a new Fukaya category for a marked disk qsms 2025.05.22 1325
167 [QSMS Seminar-20250610, 20250611, 20250612] Non-degeneracy for Kac-Moody and Heisenberg categorifications qsms 2025.05.22 1077
166 [QSMS Seminar-20250526] Learning Euler Factors of Elliptic Curves with Transformers qsms 2025.05.20 1042
165 [QSMS Monthly Seminar 2025-04-18] Real projective space and Tate homology / A geometric understanding of functors between cluster categories qsms 2025.04.18 1518
164 [QSMS  Monthly Seminar 2025-03-28] The rational cuspidal subgroup of J_0(N) / On irreducible elements of numerical semigroup algebras  qsms 2025.03.28 21220
163 [QSMS Algebraic Geometry Seminar 20241230] Hodge symmetries of singular varieties qsms 2024.12.20 23625
162 [QSMS Representation theory seminar-20241202] On finite-dimensional representations of quantum affine superalgebras of type A qsms 2024.11.23 24828
161 [QSMS Monthly Seminar 2024-11-15] Toric degenerations from Newton-Okounkov bodies / Flat F-manifolds for smooth projective complete intersection varieties qsms 2024.11.15 26662
160 [QSMS Symplectic geometry seminar-20241105] 3d mirror symmetry I, II qsms2 2024.10.29 25399
159 [QSMS Representation theory seminar-20241122, 20241129] W-algebras and Quantum affine algebras qsms 2024.10.28 25511
158 [QSMS Monthly Seminar 2024-10-18] Braid group actions on Grassmannians and extended crystals of type A / Modules of degenerate quantum groups for $P$-partition generating functions qsms 2024.10.18 25373
157 [QSMS Monthly Seminar 2024-09-20] Braid varieties and cluster algebras / Symplectic geometry of Markov-type Diophantine equations qsms 2024.09.20 25547
156 [QSMS Symplectic geometry seminar-20240822] Outer symplectic billiard qsms 2024.08.22 25646
155 [QSMS Symplectic geometry seminar-20240812] Exact Lagrangian tori in symplectic Milnor fibers constructed with fillings qsms 2024.08.10 25355
154 [QSMS Symplectic geometry seminar-20240812] Quantitative Floer theory and coefficients qsms 2024.08.03 25503
153 [QSMS Symplectic geometry seminar-20240805] Donaldson divisors and spectral invariants qsms 2024.08.03 25745
152 [QSMS Symplectic topology seminar 2024-07-03] Localized mirror functor and Nakajima quiver varieties qsms 2024.07.02 40566
151 [QSMS Representation theory seminar-20240716] Highest weight categories and quasi-hereditary algebras qsms 2024.07.02 42662
Board Pagination Prev 1 2 3 4 5 6 7 8 9 Next
/ 9