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일정시작 2022-06-03
배경색상 #FF5733
  • Date :  2022-06-03  (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).

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





List of Articles
No. Subject Author Date Views
Notice QSMS Mailing List Registration qsms 2021.09.09 13300
90 [QSMS Seminar 2022-10-11] (q,t)-Cartan matrix and representation theories related to the specializations of the matrix file qsms 2022.09.18 3353
89 [SNU Number Theory Seminar 2022-09-16] Height-moduli and lower order terms qsms 2022.09.06 3470
88 [QSMS-BK21 Seminar 2022-08-29] Symplectic Cohomology, String Topology, and Deformations qsms 2022.08.29 3399
87 [QSMS-BK21 Seminar] Past seminars qsms 2022.08.26 3394
86 [QSMS Seminar 2022-08-31] Localization of the category of modules over quiver Hecke algebras qsms 2022.08.25 3501
85 [QSMS Seminar 2022-08-24] Vector bundles and representation theory on a curve qsms 2022.08.13 3440
84 [SNU Number Theory Seminar 2022-08-11] The dual Lagrangian fibration of hyper-Kähler manifolds qsms 2022.08.04 3485
83 [SNU Number Theory Seminar 2022-08-08] Geometry of the $B_{dR}^+$-Grassmannian qsms 2022.08.04 3526
82 [SNU Number Theory Seminar 2022-06-21] Arithmetic local systems over the moduli space of curves qsms 2022.07.21 3515
81 [QSMS Seminar 20220721] Finding ALL solutions qsms 2022.07.14 4000
80 [QSMS Mini-course] Pablo Portilla cuadrado (University of Lille) qsms 2022.07.04 3465
79 [QSMS Monthly Seminar] Yokonuma Hecke algebras and invariants of framed links qsms 2022.05.27 3422
» [SNU Number Theory Seminar 2022-06-03] The Coleman conjecture on circular distributions and the equivariant Tamagawa Number conjecture qsms 2022.05.18 3715
77 [SNU Number Theory Seminar 2022-05-20] Distribution of Hecke eigenvalues of GL_2 automorphic representations qsms 2022.05.18 3383
76 [QSMS Geometry Seminar 2022-05-17, 19] Symplectic Criteria on Stratified Uniruledness of Affine Varieties and Applications qsms 2022.05.09 3484
75 [QSMS Geometry Seminar 2022-05-12] Tropical Lagrangian multi-sections and tropical locally free sheaves qsms 2022.05.07 3443
74 [2022 KMS Spring Meeting] Related talks qsms 2022.04.28 3590
73 [QSMS Monthly Seminar] Quantization of integrable differential difference equations qsms 2022.04.22 3392
72 [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 3449
71 [SNU Number Theory Seminar 2022-05-13] A singular function containing all Lagrange numbers less than three qsms 2022.04.12 3372
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