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Mathematics Colloquium
2013 - 2014
Tuesday, January 14, 2014
4:00 p.m.  //  151 Sloan
Bhargav Bhatt (IAS) - de Rham cohomology of algebraic varieties

Abstract:
The cohomology groups of a complex algebraic manifold enjoy an extremely rich structure, traditionally the subject of Hodge theory. A key piece of this structure stems from Grothendieck's purely algebraic description of the de Rham cohomology of smooth varieties. But what about singular varieties?

I will begin by reviewing the story for smooth varieties, and then explain how a modern perspective based on derived algebraic geometry provides an answer to the above question that was conjectured by Grothendieck.


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