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Classifying spaces in motivic homotopy: from group cohomology to purity questions

组织者

阿尔坦·谢什马尼 , 杨南君 , 袁北彗

演讲者

Matthias Wendt

时间

2024年11月07日 15:00 至 16:00

地点

A6-101

线上

Zoom 638 227 8222 (BIMSA)

摘要

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.