Seminars & Colloquia Calendar
Motivic integration and the Grothendieck ring of varieties
Vernon Chan, Rutgers University
Location: Hill 705
Date & time: Thursday, 22 February 2018 at 11:00AM - 11:45AM
Abstract: Motivic integration is an extension of p-adic integration which takes values in the Grothendieck ring instead of real numbers. In this talk I will explain the basic idea of motivic integration and construct the motivic counting measure. I will also discuss the closely related Grothendieck ring of varieties and its relation to universal additive invariants, e.g. Hodge polynomials. If time allows, I will discuss the motivic integral on the formal arc space of a smooth variety Y and an effective divisor D, and mention some important results.