Tuesday, October 3, 2017
4:00 pm

Mathematics Colloquium

Tropical motivic integration
Sam Payne, Mathematics Department, Yale University

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.

Contact Mathematics Department mathinfo@caltech.edu at 626-395-4335
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