In this spring semester, the seminar topic is “Hodge conjectures”.

Schedule

We will meet every Tuesday afternoon, approximately from 2 pm to 3: 30 pm. The lecture notes or slides will be updated after each talk.

Date Title Speaker notes
2020.3.31 Introduction to Hodge conjecture Zhiyuan Li slides
2020.4.7 Examples on IHC Ruxuan Zhang notes
2020.4.14 Absolute Hodge class and Hodge conjectures on abelian varieties I Xun Zhang notes
2020.4.21 Absolute Hodge class and Hodge conjectures on abelian varieties II Haoyu Wu  

Abstracts

  1. introduction to Hodge conjecture

    TBA

  2. Examples on Integral Hodge conjecture

    We will talk about some examples this time, namely Atiyah-Hirzebruch-Totaro topological obstruction, Kollar’s counterexamples and the integral Hodge conjecture for cubic fourfolds.

  3. Absolute Hodge class and Hodge conjectures on abelian varieties I

  4. Absolute Hodge class and Hodge conjectures on abelian varieties II

  1. Welink passwd: SCMS2020