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Speaker:

Kristýna Zemková
Affiliation:

TU Dortmund
Date:

Wed, 23/11/2022 - 14:30 - 15:30
Location:

MPIM Lecture Hall
Parent event:

Number theory lunch seminar Hybrid talk.

Contact: Pieter Moree (moree@mpim-bonn.mpg.de)

In the talk, we will first give a quick introduction into the algebraic theory of quadratic forms, with a special focus on the characteristic two case. After that, we define some equivalence

relations on quadratic forms: similarity, birational equivalence, stable birational equivalence and motivic/Vishik equivalence. We try to compare these equivalences. For example, it is easy to see that if two quadratic forms are similar, then they are also birationally, stably birationally

and motivically/Vishik equivalent. However, the other relations are not so clear.

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