**UM Math Graduate Students Seminar**

Xiaocong Deng

*University of Miami*

**will present**

**De Rham's theorem**

Friday, April 27, 2012, 4:00pm

Ungar Building Room 402

**Abstract:**De Rham cohomology is a cohomology theory of smooth manifolds based on differential forms. It relates analysis on a manifold to its topology via the de Rham theorem which establishes an isomorphism between the de Rham and singular cohomology. The proof of this theorem that we will talk about will rely on the Mayer--Vietoris sequences and the Whitney approximation theory.

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