EVENT DETAILS AND ABSTRACT


Colloquium

Title: The rise of motivic mathematics
Speaker: Charles Weibel
Speaker Info: Rutgers
Brief Description:
Special Note:
Abstract:

In the 1960's, Grothendieck envisioned motives as something like a universal cohomology theory for algebraic varieties, using Chow groups.

In the 1990's, Voevodsky (then at Northwestern!) constructed what we now view as motivic cohomology, having many of the properties proposed by Grothendieck. Nowadays, the focus is on motivic homotopy theory, in which motivic cohomology plays the role of just one of many cohomology theories. Other generalized cohomology theories are inspired by topology, such as cobordism and K-theory. All this is needed to show that the ├ętale cohomology of a field has a presentation by generators and relations.

Date: Wednesday, October 23, 2019
Time: 4:10pm
Where: Lunt 105
Contact Person: Ezra Getzler
Contact email: getzler@northwestern.edu
Contact Phone:
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