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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 1931
78 [SNU Number Theory Seminar 2022-08-11] The dual Lagrangian fibration of hyper-Kähler manifolds qsms 2022.08.04 682
77 [QSMS Monthly Seminar] Quantization of integrable differential difference equations qsms 2022.04.22 685
76 [QSMS Monthly Seminar] Yokonuma Hecke algebras and invariants of framed links qsms 2022.05.27 685
75 [SNU Number Theory Seminar 2022-04-15] A note on non-ordinary primes for some genus-zero arithmetic groups qsms 2022.04.12 686
74 [QSMS Monthly Seminar] The dimension of the kernel of an Eisenstein ideal qsms 2022.03.25 688
73 [QSMS Geometry Seminar 2022-05-12] Tropical Lagrangian multi-sections and tropical locally free sheaves qsms 2022.05.07 697
72 [Seminar 2020.12.17] Zeta함수와 L함수에 대한 역사적 고찰IV qsms 2020.12.08 706
71 [SNU Number Theory Seminar 2022-08-08] Geometry of the $B_{dR}^+$-Grassmannian qsms 2022.08.04 709
70 [SNU Number Theory Seminar 20220401] Randomness and structure for sums of cubes qsms 2022.03.28 722
69 [QSMS Seminar 2022.04.19] Universal objects in vertex algebra theory qsms 2022.04.07 728
68 [QSMS Geometry Seminar 2022-05-17, 19] Symplectic Criteria on Stratified Uniruledness of Affine Varieties and Applications qsms 2022.05.09 743
67 [QSMS Seminar 2022.04.05] Trialities of W-algebras qsms 2022.02.15 748
66 [SNU Number Theory Seminar 2022-05-13] A singular function containing all Lagrange numbers less than three qsms 2022.04.12 751
65 [Seminar 2021.01.07] Zeta함수와 L함수에 대한 역사적 고찰VII qsms 2021.01.04 755
64 [Seminar 2020.12.10] Zeta함수와 L함수에 대한 역사적 고찰III qsms 2020.12.08 756
63 [QSMS Monthly Seminar] Introduction to finite-dimensional representations of quantum affine algebras qsms 2021.12.03 761
62 [2022 KMS Spring Meeting] Related talks qsms 2022.04.28 792
61 [SNU Number Theory Seminar 2022-05-06] On an upper bound of the average analytic rank of a family of elliptic curves qsms 2022.04.19 803
60 [SNU Number Theory Seminar 2022.03.18] On p-rationality of $\mathbb{Q}(\zeta_{2l+1})^{+}$ for Sophie Germain primes $l$ qsms 2022.03.19 818
59 [QSMS-BK21 Toric Geometry Seminar] Moduli Space of Special Lagrangians in the Complement of an Anticanonical Divisor qsms 2022.04.12 822
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