?

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 35709
92 [QSMS Seminar 2022.03.04 (시간변경)] Introduction to Supersymmetric Field Theories qsms 2022.02.15 17541
91 [QSMS Seminar 2022.04.05] Trialities of W-algebras qsms 2022.02.15 17546
90 [BK21-QSMS Toric Geometry Seminar] The Fredholm regularity of discs qsms 2022.03.14 17148
89 [SNU Number Theory Seminar 2022.03.18] On p-rationality of $\mathbb{Q}(\zeta_{2l+1})^{+}$ for Sophie Germain primes $l$ qsms 2022.03.19 17341
» [SNU Number Theory Seminar 20220321, 0322, 0324] Three lectures on the Eisenstein ideal qsms 2022.03.19 17113
87 [QSMS Monthly Seminar] The dimension of the kernel of an Eisenstein ideal qsms 2022.03.25 16808
86 [SNU Number Theory Seminar 20220401] Randomness and structure for sums of cubes qsms 2022.03.28 17281
85 [QSMS Seminar 2022.04.19] Universal objects in vertex algebra theory qsms 2022.04.07 18555
84 [QSMS-BK21 Toric Geometry Seminar] Moduli Space of Special Lagrangians in the Complement of an Anticanonical Divisor qsms 2022.04.12 16779
83 [SNU Number Theory Seminar 2022-04-15] A note on non-ordinary primes for some genus-zero arithmetic groups qsms 2022.04.12 19856
82 [SNU Number Theory Seminar 2022-05-13] A singular function containing all Lagrange numbers less than three qsms 2022.04.12 19986
81 [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 19137
80 [QSMS Monthly Seminar] Quantization of integrable differential difference equations qsms 2022.04.22 16691
79 [2022 KMS Spring Meeting] Related talks qsms 2022.04.28 17819
78 [QSMS Geometry Seminar 2022-05-12] Tropical Lagrangian multi-sections and tropical locally free sheaves qsms 2022.05.07 17246
77 [QSMS Geometry Seminar 2022-05-17, 19] Symplectic Criteria on Stratified Uniruledness of Affine Varieties and Applications qsms 2022.05.09 17701
76 [SNU Number Theory Seminar 2022-05-20] Distribution of Hecke eigenvalues of GL_2 automorphic representations qsms 2022.05.18 17021
75 [SNU Number Theory Seminar 2022-06-03] The Coleman conjecture on circular distributions and the equivariant Tamagawa Number conjecture qsms 2022.05.18 16888
74 [QSMS Monthly Seminar] Yokonuma Hecke algebras and invariants of framed links qsms 2022.05.27 16642
73 [QSMS Mini-course] Pablo Portilla cuadrado (University of Lille) qsms 2022.07.04 17417
Board Pagination Prev 1 2 3 4 5 6 7 8 Next
/ 8