조회 수 3451 추천 수 0 댓글 0
?

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 2022-03-25
일정종료 2022-03-25
배경색상 #036eb7
  • 2022년 3월 QSMS  Monthly Seminar
  • Date:   25 March  Fri  PM 2:00 ~ 5:00
  • Place:  129-101 (SNU)

 

  • Speaker:  유화종 Hwajong Yoo (PM 2:00 ~ 3:00)
  • Title:  The dimension of the kernel of an Eisenstein ideal
  • Abstract:  We introduce a notion of multiplicity one for modular Jacobian varieties, which is about the dimension of the kernel of a certain maximal ideal of the Hecke algebra. When such a maximal ideal is non-Eisenstein (which will be explained), then multiplicity one holds (which means that the dimension is 2.) On the other hand, as first noticed by Calegari and Stein, multiplicity one often fails for Eisenstein maximal ideals. We propose a conjecture about the dimension of the kernel of an Eisenstein ideal. If time permits, we sketch the proof of my work with Ken Ribet.

 

  • Speaker:  조창연 Chang-Yeon Chough (PM 4:00 ~ 5:00) 
  • TiTle:   Twisted equivalences in spectral algebraic geometry
  • Abstract:   Derived equivalence has been an interesting subject in relation to Fourier-Mukai transform, Hochschild homology, and algebraic K-theory, just to name a few. On the other hand, the attempt to classify schemes by their derived categories twisted by elements of Brauer groups is very restrictive as we have a positive answer only for affines. I'll talk about how we can extend this result to a broader class of algebro-geometric objects in the setting of derived/spectral algebraic geometry at the expense of a stronger notion of twisted equivalences than that of ordinary twisted derived equivalences. I'll convince you that the new notion is not only reasonable but also indispensable from this point of view. The first half will be mainly devoted to giving brief expository accounts of some background materials needed to understand the notion of twisted derived equivalence in the setting of derived/spectral algebraic geometry. The remaining half will cover a derived/spectral analog of Rickard's theorem, which shows that derived equivalent associative rings have isomorphic centers. I'll try to avoid technicalities related to using the language of derived/spectral algebraic geometry.

     

 

 

 

 

 


List of Articles
번호 제목 글쓴이 날짜 조회 수
공지 QSMS Mailing List Registration qsms 2021.09.09 13300
90 [Seminar 2021.05.13] Convergence of harmonic maps via regular nodes qsms 2021.05.12 3799
89 [SNU Number Theory Seminar 21 Apr] Selberg's central limit theorem of L -functions near the critical line qsms 2023.04.20 3778
88 [QSMS Seminar 2023-12-13] A user’s guide to Schubert calculus of Lagrangian Grassmannians qsms 2023.11.27 3773
87 [KMS Specical Conference with 2022 Fields Medalists] Related talks qsms 2023.10.11 3773
86 [QSMS Monthly Seminar 2023-11-11] Cluster structures on polygon spaces / From classical to quantum integrability qsms 2023.11.10 3757
85 [SNU Number Theory Seminar 20220401] Randomness and structure for sums of cubes qsms 2022.03.28 3753
84 [SNU Number Theory Seminar 20220321, 0322, 0324] Three lectures on the Eisenstein ideal qsms 2022.03.19 3744
83 [SNU Number Theory Seminar 2022-06-03] The Coleman conjecture on circular distributions and the equivariant Tamagawa Number conjecture qsms 2022.05.18 3714
82 [QSMS Monthly Seminar] Smoothing of Fano varieties and mutations qsms 2021.09.23 3710
81 [SNU Number Theory Seminar 2021.12.03] Algebraization theorems in complex and non-archimedean geometry qsms 2021.11.19 3704
80 [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 3674
79 [SNU Number Theory Seminar 2022-11-11] Mixed moments and the joint distribution of random groups qsms 2022.10.24 3670
78 [QSMS 위상기하 세미나 2021.11.25] Exotic families of Weinstein manifolds with Milnor fibers of ADE types qsms 2021.11.19 3667
77 [Seminar 2020.12.17] Zeta함수와 L함수에 대한 역사적 고찰IV qsms 2020.12.08 3665
76 [Seminar 2021.05.12] Equivariant symplectic homology qsms 2021.05.06 3654
75 [QSMS Monthly Seminar] Recoverable lattices qsms 2021.05.07 3652
74 [QSMS Monthly Seminar] Quantum entanglement entropy in abelian arithmetic Chern-Simons theory qsms 2021.10.29 3648
73 [QSMS-BK21 Symplectic Seminar 14 July] Introduction to 3D Mirror Symmetry, from a Symplectic Viewpoint / Orbifolding Lagrangian Floer Cohomology qsms 2023.07.12 3644
72 [QSMS Seminar 2022.03.04 (시간변경)] Introduction to Supersymmetric Field Theories qsms 2022.02.15 3635
71 [QSMS Seminar 2021.10.12, 10.14] Vertex algebras and chiral homology I and II qsms 2021.09.23 3619
Board Pagination Prev 1 2 3 4 5 6 7 8 Next
/ 8