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Sam Payne 'A tropical motivic Fubini theorem with applications to Donaldson-Thomas theory "
Start Date: 4/25/2017Start Time: 4:30 PM
End Date: 4/25/2017End Time: 5:30 PM
Event Description:
Speaker: Sam Payne,Yale University

Abstract: I will present a new tool for the calculation of Denef and Loeser’s motivic nearby fiber and motivic Milnor fiber: a motivic Fubini theorem for the tropicalization map. Our method uses Hrushovski and Kazhdan’s theory of motivic volumes of semi-algebraic sets as a substitute for computations with motivic Igusa zeta functions, and allows us to sidestep, in some cases, the absence of an explicit resolution of singularities. Applications include the solution to a conjecture of Davison and Meinhardt on motivic nearby fibers of weighted homogeneous polynomials, and a very short and conceptual new proof of the integral identity conjecture of Kontsevich and Soibelman, first proved by Lê Quy Thuong. Both of these conjectures emerged in the context of motivic Donaldson-Thomas theory.
Based on joint work with Johannes Nicaise.
Location Information:
Homewood - Gilman Hall
Room: 55
Mathematics Department
Algebraic Geometry Seminar

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