qsms.math.snu.ac.kr - [QSMS Monthly Seminar 2024-05-24] Cuspidal subgroups and rational torsion subgroups / Free subgroups generated by Dehn twists and its categorification

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일정시작	2024-05-24
배경색상	#036eb7

일정시작

2024-05-24

배경색상

#036eb7

2024년 05월 QSMS Monthly Seminar

Date: May 24th (Fri) 14:00 ~ 17:00
Place: 27-220
Contents:

Speaker: 유화종 (오후2시)
Title: Cuspidal subgroups and rational torsion subgroups

Abstract: We introduce the cuspidal subgroups of the modular Jacobian varieties and their roles in the study of the rational torsion subgroups of the modular Jacobian varieties.

Speaker: 김종명 (오후4시)
Title: Free subgroups generated by Dehn twists and its categorification

Abstract: Dehn twists along simple closed curves in a surface are elementary building blocks of the mapping class group. It is known that Dehn twists along curves generate a free subgroup if the curves do not bound a contractible region and every pair of curves intersects more than once. On the other hand, Seidel and Thomas introduced the notion of spherical twists (of a triangulated category) as a categorical analogue of that of Dehn twists. In this talk, I will explain an ongoing project attempting to find a condition which guarantees the freeness of the subgroup generated by spherical twists.

List of Articles
No.	Subject	Author	Date	Views
Notice	QSMS Mailing List Registration	qsms	2021.09.09	37512
42	[Seminar 2021.05.06] Arithmetic properties of weakly holomorphic modular functions of arbitrary level	qsms	2021.05.04	18830
41	[Seminar 2021.05.11] Knotted embeddings	qsms	2021.05.06	18743
40	[Seminar 2021.05.12] Equivariant symplectic homology	qsms	2021.05.06	19920
39	[Seminar 2021.05.13] Convergence of harmonic maps via regular nodes	qsms	2021.05.12	18310
38	[Seminar 2021.05.14] On some results about non-holomorphic Jacobi forms	qsms	2021.05.11	18099
37	[Seminar 2021.05.18] The coherent-constructible correspondence for toric projective bundles	qsms	2021.05.17	18224
36	[Seminar 2021.05.28] Ramanujan continued fractions of order sixteen	qsms	2021.05.21	19331
35	[Seminar 2021.06.11] The pentagonal theorem of sixty-three and generalizations of Cauchy's lemma	qsms	2021.05.28	18569
34	[Seminar 2021.06.15, 06.22] Cluster algebras with a view toward the Jacobian conjecture	qsms	2021.05.28	19043
33	[Series of lectures 2/21, 2/23, 2/28] An introduction to geometric representation theory and 3d mirror symmetry	qsms	2023.02.02	19989
32	[SNU Number Theory Seminar 14 Apr] Homological interpretation of Hecke $L$-values over real quadratic fields	qsms	2023.03.31	20920
31	[SNU Number Theory Seminar 2 June] A refined Tamagawa number conjecture for modular forms	qsms	2023.04.20	16584
30	[SNU Number Theory Seminar 2021.12.03] Algebraization theorems in complex and non-archimedean geometry	qsms	2021.11.19	18197
29	[SNU Number Theory Seminar 2022-04-15] A note on non-ordinary primes for some genus-zero arithmetic groups	qsms	2022.04.12	20992
28	[SNU Number Theory Seminar 2022-05-06] On an upper bound of the average analytic rank of a family of elliptic curves	qsms	2022.04.19	20246
27	[SNU Number Theory Seminar 2022-05-13] A singular function containing all Lagrange numbers less than three	qsms	2022.04.12	21173
26	[SNU Number Theory Seminar 2022-05-20] Distribution of Hecke eigenvalues of GL_2 automorphic representations	qsms	2022.05.18	18023
25	[SNU Number Theory Seminar 2022-06-03] The Coleman conjecture on circular distributions and the equivariant Tamagawa Number conjecture	qsms	2022.05.18	17893
24	[SNU Number Theory Seminar 2022-06-21] Arithmetic local systems over the moduli space of curves	qsms	2022.07.21	17996
23	[SNU Number Theory Seminar 2022-08-08] Geometry of the $B_{dR}^+$-Grassmannian	qsms	2022.08.04	18028

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