Motivic integration on Berkovic spaces

Abstract: The purpose of the talk is to offer a new perspective on motivic integration. Working over a field with trivial norm, I will introduce a motivic measure on the Berkovich analytification of an algebraic variety and define integration in this setting. The construction is geometric with a similar spirit as Kontsevich’s original definition, and leads to the formulation of a functorial theory which mirrors, in this aspect, the functoriality of Cluckers and Loeser's approach via constructible motivic functions. The approach does not rely on model theory but rather on geometric properties such as resolution of singularities and the weak factorization theorem. The talk is based on joint work with Chung Ching Lau.

algebraic geometry

Audience: researchers in the topic

ZAG (Zoom Algebraic Geometry) seminar

Series comments: Description: ZAG seminar

The seminar takes place on Tuesdays and Thursdays via Zoom. Zoom passwords are given via mailing list on Fridays. To join the mailing list go to the website.

If you use a calendar system, you can see the individual seminars at bit.ly/zag-seminar-calendar

Times vary to accommodate speakers time zones but times will be announced in GMT time.