## Geometry Seminar - Abstracts

### Talk

Wednesday 6 November 2019, 15:30-16:30 in HG01.029

**Mingmin Shen** (UvA)

*Some new counter-examples to the integral Hodge conjecture*

### Abstract

The Hodge conjecture is one of the major open problems in algebraic
geometry. Hodge's original conjecture was stated with integral
coefficients, which is nowadays called the integral Hodge conjecture
(IHC). The IHC was shown to be false by Atiyah and Hirzebruch more than
50 years ago. Since then many new counter-examples have been constructed
and various theories were developed to explain the failure of IHC. In
this talk, I will report some recent developments.

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