Title: Positive geometries and string theory amplitudes
Speaker: Thomas Lam
Speaker Info: University of Michigan
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Abstract:
Inspired by developments in quantum field theory, we recently defined the notion of a positive geometry, a class of spaces that includes convex polytopes, positive parts of projective toric varieties, and positive parts of flag varieties. I will discuss some basic features of the theory and an application to genus zero string theory amplitudes. As a special case, we obtain the Euler beta function, familiar to mathematicians, as the “stringy canonical form” of the closed interval.Date: Tuesday, January 14, 2020This talk is based on joint work with Arkani-Hamed, Bai, and He.