Model Theory Seminar | Mathias Stout (McMaster University)
Sep 19, 2025
12:30PM to 1:30PM
Date/Time
Date(s) - 19/09/2025
12:30 pm - 1:30 pm
Speaker: Dr. Mathias Stout (McMaster University)
Location: Hamilton Hall, Room 410
Title: Integration in Hensel minimal fields
Abstract: Motivic integration was introduced by Kontsevich in the nineties to show that biratonially equivalent Calabi-Yau varieties have the same Hodge numbers. His fruitful idea was quickly picked up and further developed first by Denef-Loeser and then by many others. In particular, one has the model-theoretic frameworks of Cluckers-Loeser and Hrushovski-Kazhdan, respectively. A key common point of these theories is that they provide Ax-Kochen/Ersov-type statements for integrals. On the other hand, they differ in which fields they apply to and how the ‘integral’ is represented.