2022.05.18 20:11

# [SNU Number Theory Seminar 2022-06-03] The Coleman conjecture on circular distributions and the equivariant Tamagawa Number conjecture

조회 수 491 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
일정시작 2022-06-03 #FF5733
• Date :  2022-06-3  (Fri) 16:00

• Place :  27-325 (SNU)

• Speaker :  Soogil Seo (Yonsei University)
• Title :  The Coleman conjecture on circular distributions and the equivariant Tamagawa Number conjecture
• Abstract :

We introduce the Coleman conjecture on circular distributions made around 1980's and its implications in Euler systems over Q. In our joint work with Burns, Bullach and Daoud, we will provide a proof of the Coleman conjecture and introduce "Coleman's conjecture for higher ranks" with its application to the equivariant Tamagawa Number conjecture for Dirichlet L-functions at s=0 (eTNC (G_m), in short) of Bloch, Kato, Burns and Flach. Based on the method used in the proof of Coleman's conjecture, we provide a proof of the minus part of eTNC(G_m) for CM extensions of totally real fields unconditionally and imaginary quadratic fields under mu vanishing condition, which accordingly recovers or implies refinements and variants of ‘Stark-type conjectures’ (in particular, conjectures of Rubin-Stark, Brumer, Chinberg, and the lifted root number conjecture of Gruenberg, Rittel and Weiss, among others).

 제목+내용제목내용댓글이름닉네임아이디태그
List of Articles
번호 제목 글쓴이 날짜 조회 수
공지 QSMS Mailing List Registration 2021.09.09 1096
32 [QSMS Seminar 2022.03.04 (시간변경)] Introduction to Supersymmetric Field Theories 2022.02.15 649
31 [QSMS Seminar 2022.04.05] Trialities of W-algebras 2022.02.15 485
30 [BK21-QSMS Toric Geometry Seminar] The Fredholm regularity of discs 2022.03.14 429
29 [SNU Number Theory Seminar 2022.03.18] On p-rationality of $\mathbb{Q}(\zeta_{2l+1})^{+}$ for Sophie Germain primes $l$ 2022.03.19 409
28 [SNU Number Theory Seminar 20220321, 0322, 0324] Three lectures on the Eisenstein ideal 2022.03.19 354
27 [QSMS Monthly Seminar] The dimension of the kernel of an Eisenstein ideal 2022.03.25 418
26 [SNU Number Theory Seminar 20220401] Randomness and structure for sums of cubes 2022.03.28 421
25 [QSMS Seminar 2022.04.19] Universal objects in vertex algebra theory 2022.04.07 451
24 [QSMS-BK21 Toric Geometry Seminar] Moduli Space of Special Lagrangians in the Complement of an Anticanonical Divisor 2022.04.12 526
23 [SNU Number Theory Seminar 2022-04-15] A note on non-ordinary primes for some genus-zero arithmetic groups 2022.04.12 411
22 [SNU Number Theory Seminar 2022-05-13] A singular function containing all Lagrange numbers less than three 2022.04.12 421
21 [SNU Number Theory Seminar 2022-05-06] On an upper bound of the average analytic rank of a family of elliptic curves 2022.04.19 476
20 [QSMS Monthly Seminar] Quantization of integrable differential difference equations 2022.04.22 430
19 [2022 KMS Spring Meeting] Related talks 2022.04.28 481
18 [QSMS Geometry Seminar 2022-05-12] Tropical Lagrangian multi-sections and tropical locally free sheaves 2022.05.07 451
17 [QSMS Geometry Seminar 2022-05-17, 19] Symplectic Criteria on Stratified Uniruledness of Affine Varieties and Applications 2022.05.09 462
16 [SNU Number Theory Seminar 2022-05-20] Distribution of Hecke eigenvalues of GL_2 automorphic representations 2022.05.18 393
» [SNU Number Theory Seminar 2022-06-03] The Coleman conjecture on circular distributions and the equivariant Tamagawa Number conjecture 2022.05.18 491
14 [QSMS Monthly Seminar] Yokonuma Hecke algebras and invariants of framed links 2022.05.27 404