Mathematics Colloquium

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Tropical motivic integration

Speaker: Sam Payne, Yale University

Location: Warren Weaver Hall 1302

Date: Monday, November 27, 2017, 3:45 p.m.

Synopsis:

I will present a new tool for the calculation of motivic invariants appearing in Donaldson-Thomas theory, such as the motivic Milnor fiber, starting from a theory of volumes of semi-algebraic sets introduced a decade ago by Hrushovski and Kazhdan. They key new result for applications is a tropical Fubini theorem—the invariants of interest can be computed by integrating the volumes of fibers of the tropicalization map with respect to Euler characteristic on the base.