Back to Departmental Colloquium: Fall 2013
Departmental Colloquium
Date: Friday, Dec 6, 2013
Time: 4:00PM
Location: LCB 219
Bhargav Bhatt
Institute for Advanced Study
Title |
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. |
Algebraic Geometry
Topology
Geometry and Topology