Title: Algebraic vs. topological vector bundles
Speaker: Aravind Asok
Speaker Info: University of Southern California
Brief Description:
Special Note:

Suppose X is your favorite (smooth) complex algebraic variety. When does a complex topological vector bundle on X admit an algebraic structure? This is a long-studied question with close links to various classical questions in the cohomology of algebraic varieties. I will explain how, when X is affine, this problem can be reformulated in entirely (motivic) homotopy theoretic terms, discuss an approach to analyzing this question for arbitrary X and describe some results obtained jointly with Jean Fasel and Mike Hopkins about this and related problems.
Date: Wednesday, October 13, 2021
Time: 4:10pm
Where: Lunt 105
Contact Person: John Francis
Contact email: jnkf@northwestern.edu
Contact Phone:
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