Back to Algebraic Geometry Seminar: Fall 2025
Algebraic Geometry Seminar
Date: Tuesday, Nov 11, 2025
Time: 3:30PM - 4:30PM
Location: LCB 323
Zach Mere
University of Utah
Title |
A change-of-variables formula in motivic integration |
Abstract |
Kontsevich introduced motivic integration to prove that birationally equivalent complex Calabi-Yau manifolds have the same Hodge numbers. The proof uses a change-of-variables formula which assumes the varieties involved are smooth. In this talk, we’ll discuss a generalization of this formula to the case where singularities are allowed. Then we’ll deduce a result about Calabi-Yau varieties over an arbitrary field. |
Algebraic Geometry