BIMSA > BIMSA AG Seminar Classifying spaces in motivic homotopy: from group cohomology to purity questions
Classifying spaces in motivic homotopy: from group cohomology to purity questions
Organizers
Artan Sheshmani , Nan Jun Yang , Bei Hui Yuan
Speaker
Matthias Wendt
Time
Thursday, November 7, 2024 3:00 PM - 4:00 PM
Venue
A6-101
Online
Zoom 638 227 8222 (BIMSA)
Abstract
In the talk I will explain what classifying spaces in motivic homotopy theory are, and how they can be used to better understand the topology of algebraic varieties, for example to construct algebraic varieties with certain cohomological properties. As a particular example, I will discuss purity/extension questions for quadratic forms on algebraic varieties. In this case, questions around the computation of (unramified) Witt groups can be reduced to group cohomology questions which are accessible to computer algebra tools. This is joint work in progress with Elden Elmanto.