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Welcome to the unofficial site of number theory group at Tsinghua University.
Song Wang (AMSS) gave a talk
Modularity and Cuspidality Criterions
at
Seminar 2019 Fall
Upcoming events
Seminar 2020 Spring (Online)
Time & Place | Speaker | Title |
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Thu, 2 Jul 2020,
10:00-11:00 Online |
Nanjun Yang (YMSC, Tsinghua University) | Projective bundle theorem in MW-motives |
Abstract: We present a version of projective bundle theorem in MW-motives (resp. Chow-Witt rings), which says that (ℙ(E)) is determined by (X) and (X × ℙ²) for smooth quasi-projective schemes X and vector bundles E over X with odd rank. If the rank of E is even, the theorem is still true under a new kind of orientability, which we call it by projective orientability. Join Zoom Meeting: Meeting ID: 916 5344 6007 |
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Thu, 2 Jul 2020,
16:00-17:00 Online |
Hao Zhang (Sorbonne Université) | Elliptic cocycle for GLN(ℤ) and Hecke operators |
Abstract: A classical result of Eichler, Shimura and Manin asserts that the map that assigns to a cusp form f its period polynomial rf is a Hecke equivariant map. We propose a generalization of this result to a setting where rf is replaced by a family of rational function of N variables equipped with the action of GLN(ℤ). For this purpose, we develop a theory of Hecke operators for the elliptic cocycle recently introduced by Charollois. In particular, when f is an eigenform, the corresponding rational function is also an eigenvector respect to Hecke operator for GLN. Finally, we give some examples for Eisenstein series and the Ramanujan Delta function. Join Zoom Meeting: Meeting ID: 916 5344 6007 |
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Tue, 14 Jul 2020,
16:00-17:00 Online |
Weijia Wang (ENS Lyon) | Modular regulator with Rogers-Zudilin method |
Abstract: Let Y(N) be the modular curve of level N and E(N) be the universal elliptic curve over Y(N). Beilinson (1986) defined the Eisenstein symbol in the motivic cohomology of Ek(N) and the work of Deninger-Scholl (1989) shows the Petersson inner product of its regulator gives us special L-values. In this talk I will present how to relate the modular regulator with L-value of quasi-modular forms by using Lanphier’s formula and Rogers-Zudilin method. Join Zoom Meeting: Meeting ID: 916 5344 6007 |
Links
YMSC Tsinghua | Morningside Center of Mathematics | Institute of Mathematics, CAS | AMSS, CAS | BICMR