Seminars & Colloquia Calendar

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Junior Geometry Seminar

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. 

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