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Texas A&M University

Geometry Seminar

Date: December 2, 2019

Time: 3:00PM - 4:00PM

Location: BLOC 628

Speaker: Charles Doran, University of Alberta, Canada


Title: Calabi-Yau Geometry of the Multiloop Sunset Feynman Integrals

Abstract: We will explore the "geometric gems" that emerge naturally when computing the simplest infinite family of Feynman integrals. These include Hessians of cubic surfaces, complete intersections in permutohedral varieties, and Landau-Ginzburg mirrors of weak Fano varieties. An iterative fibration structure on Calabi-Yau varieties, and a consequent iterative description of their periods, is ultimately crucial to understanding these Feynman integrals. We derive from this a conjectural "motivic mirror" principle that recasts Feynman integrals in terms of Landau-Ginzburg models fibered by motivic Calabi-Yau varieties.