?

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 2022-03-21
일정종료 2022-03-24
배경색상 #FF5733
  • Date :   3월 21일, 22일, 24일 10:00PM,

  • Place :  Zoom meeting: 220 305 8101 (passcode: 196884)

  • Speaker :  Preston Wake (Michigan State University)

  • Title :   Three lectures on the Eisenstein ideal

  • Abstract :  In his landmark 1977 paper "Modular curves and the Eisenstein ideal", Mazur studied congruences modulo p between cusp forms and then Eisenstein series of weight 2 and prime level N. He proved many deep results describing the structure of these congruences, and noted, based on computational evidence, that there is usually only one such cusp form, but sometimes there are several. He asked if there any arithmetic significance to this number of cusp forms. In this series of three lectures, we will address this question and see that this number is significant both algebraically (in terms of Galois cohomology) and analytically (in terms of L-functions). The first lecture will be an introduction to the subject with many examples. The second lecture will focus on the analytic aspects (Eisenstein series and L-functions) and will include generalizations to higher weight. The third lecture will focus on algebraic aspects (Galois representations and Galois cohomology) and will include generalizations to non-prime level. This is joint work with Carl Wang-Erickson.

  • Website:  https://sites.google.com/view/snunt/seminars

 

 

 


List of Articles
번호 제목 글쓴이 날짜 조회 수
공지 QSMS Mailing List Registration qsms 2021.09.09 34003
92 [Seminar 2021.06.15, 06.22] Cluster algebras with a view toward the Jacobian conjecture qsms 2021.05.28 16254
91 [Seminar 2021.05.06] Arithmetic properties of weakly holomorphic modular functions of arbitrary level qsms 2021.05.04 16250
90 [Seminar 2021.04.29] A realization of type A finite $W$-(super)algebra in terms of (super) Yangian qsms 2021.04.09 16232
89 [QSMS Monthly Seminiar] Symplectic homology and the McKay correspondence qsms 2021.01.11 16232
88 [Seminar 2020.12.10] Zeta함수와 L함수에 대한 역사적 고찰III qsms 2020.12.08 16207
87 [QSMS Symplectic geometry seminar 2023-10-24] Linear bounds on rho-invariants and simplicial complexity of manifolds qsms 2023.10.24 16198
86 [Seminar 2021.04.23] Quiver Hecke algebras and unipotent quantum coordinate ring qsms 2021.04.09 16194
85 [Seminar 2021.05.11] Knotted embeddings qsms 2021.05.06 16180
84 [SNU Number Theory Seminar 2022-09-16] Height-moduli and lower order terms qsms 2022.09.06 16167
83 [QSMS Monthly Seminar] A survey on symplectic fillings and Milnor fibers of a normal complex surface singularity qsms 2021.03.26 16161
82 [Seminar 2021.02.25] Zeta함수와 L함수에 대한 역사적 고찰IX qsms 2021.02.22 16149
81 [QSMS Seminar 2021.09.30] Schur-Weyl duality, old and new & Quantum symmetric pairs and Schur-type dualities qsms 2021.09.10 16103
80 [Seminar 2021.01.21] Zeta함수와 L함수에 대한 역사적 고찰VIII qsms 2021.01.18 16093
79 [Seminar 2020.12.23] Zeta함수와 L함수에 대한 역사적 고찰V qsms 2020.12.21 16077
78 [QSMS-BK21 Symplectic Geometry Seminar 2022-11-04] Introduction to Floer Homotopy: Kuranishi Structures qsms 2022.10.26 16070
77 [QSMS Monthly Seminar] Symmetric functions and super duality qsms 2021.05.28 16048
76 [SNU Number Theory Seminar 2022-08-11] The dual Lagrangian fibration of hyper-Kähler manifolds qsms 2022.08.04 16027
75 [Seminar 2021.06.11] The pentagonal theorem of sixty-three and generalizations of Cauchy's lemma qsms 2021.05.28 16022
74 [2022 KMS Spring Meeting] Related talks qsms 2022.04.28 16020
73 [QSMS Monthly Seminar 2023-10-13] Quantum Grothendieck rings of Hernandez-Leclerc categories / Regular Schur labeled skew shape posets and their 0-Hecke modules qsms 2023.10.13 16008
Board Pagination Prev 1 2 3 4 5 6 7 8 Next
/ 8