## Algebraic Geometry Seminar: Aravind Asok

• Date: 02/20/2012
• Time: 15:10
Lecturer(s):

Aravind Asok, University of Southern California

Location:

University of British Columbia

Topic:

Classifying vector bundles on smooth affine varieties

Description:

Abstract:

If X is a finite CW complex of small dimension, information about the homotopy groups of unitary groups can be translated into cohomological classification results for complex vector bundles on X. I will explain how A^1-homotopy theory can be used in an analogous fashion in the classification of vector bundles of on smooth affine varieties of small dimension. In particular, I will explain some joint work (in progress) with J. Fasel which shows how to give a complete classification of vector bundles on smooth affine 3-folds over certain fields. No knowledge of A^1-homotopy theory will be assumed.

Schedule:

3:10-4:10pm in WMAX 110

Other Information:

Location: WMAX 110