清华主页 EN
导航菜单

Quasi-modularity of Hodge cycles

来源: 03-24

时间:21:30-22:30, Mar. 24, 2023

地点:Zoom: 559 700 6085(PW: BIMSA)

组织者:Hossein Movasati

主讲人:François Greer (Michigan State University, USA)

Abstract

Period spaces contain Hodge cycles, whose cohomology classes form the coefficients of certain modular forms, by work of Kudla and Millson. I will explain how this phenomenon survives when we pass to a toroidal compactification in the case of K3 type Hodge structures, and then give some geometric applications. This work is joint with Phil Engel and Salim Tayou.

返回顶部
相关文章
  • Non-abelian Hodge theory and higher Teichmüller spaces

    Abstract: Non-abelian Hodge theory relates representations of the fundamental group of a compact Riemann surface X into a Lie group G with holomorphic objects on X known as Higgs bundles, introduced by Hitchin more than 35 years ago. Starting with the case in which G is the circle, and the 19th century Abel-Jacobi's theory, we will move to the case of G=SL(2,R) and the relation to Teichmüller t...

  • Quantum spectra, integrable systems, and variation of Hodge structures

    AbstractA classical theorem due to Birkhoff states that on a real or a complex symplectic manifold a function near its Morse critical point can be transformed by formal symplectomorphism into a power series in the pairwise sums of squares of the local coordinates, called its "Birkhoff normal form". A result of Sjöstrand says that, given certain conditions, one can compute the eigenvalues of the...