조회 수 3464 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 13393
130 [QSMS-BK21 Symplectic Seminar 9 June] Physical Aspects of the Calegaro System / Introduction to BV Formalism qsms 2023.06.26 3384
129 [SNU Number Theory Seminar 2022-05-20] Distribution of Hecke eigenvalues of GL_2 automorphic representations qsms 2022.05.18 3385
128 [QSMS-BK21 Toric Geometry Seminar] Moduli Space of Special Lagrangians in the Complement of an Anticanonical Divisor qsms 2022.04.12 3389
127 [QSMS-BK21 Seminar] Past seminars qsms 2022.08.26 3394
126 [QSMS-BK21 Symplectic Geometry Seminar 2022-09-30] Introduction to Floer Homotopy: Bordism and Flow Categories qsms 2022.09.26 3394
125 [QSMS Geometry seminar 2023-05-25] Symplectic field theory and codimension-2 stable Hamiltonian submanifolds qsms 2023.05.25 3394
124 [QSMS Monthly Seminar] Quantization of integrable differential difference equations qsms 2022.04.22 3396
123 [SNU Number Theory Seminar 2022-04-15] A note on non-ordinary primes for some genus-zero arithmetic groups qsms 2022.04.12 3397
122 [QSMS Seminar 2022-10-25] Rational liftings and gRSK qsms 2022.10.08 3397
121 [QSMS-BK21 Symplectic Geometry Seminar 2022-11-04] Introduction to Floer Homotopy: Kuranishi Structures qsms 2022.10.26 3398
120 [QSMS Seminar 2022-09-27] Categories of Whittaker Modules over Lie superalgebras and Categorification of Fock Spaces qsms 2022.09.20 3399
119 [QSMS Monthly Seminar 2022-10-28] Oscillator representations of quantum affine algebras   qsms 2022.10.30 3402
118 [QSMS-BK21 Seminar 2022-08-29] Symplectic Cohomology, String Topology, and Deformations qsms 2022.08.29 3405
117 [QSMS Seminar 2022.04.05] Trialities of W-algebras qsms 2022.02.15 3407
116 [QSMS Monthly Seminar 2023-04-21] Lagrangian submanifolds and their Legendrian lifts qsms 2023.04.21 3410
115 [QSMS-BK21 Symplectic Geometry Seminar 2022-12-09] Introduction to Floer Homotopy: Formal Groups and Complex Cobordism qsms 2022.11.28 3414
114 [QSMS Geometry Seminar 20221230] Morphism spaces between coisotropic A-branes qsms 2022.12.27 3416
113 [QSMS Monthly Seminar] Yokonuma Hecke algebras and invariants of framed links qsms 2022.05.27 3428
112 [QSMS Monthly Seminar 2022-12-02] Extended crystal structures of Hernandez-Leclerc categories qsms 2022.12.02 3439
111 [QSMS-BK21 Symplectic Seminar 26 May] 1. Product structures on the relative symplectic cohomology 2. Symplectic homology of affine varieties qsms 2023.05.25 3441
Board Pagination Prev 1 2 3 4 5 6 7 8 Next
/ 8