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M-Seminar: Phase tropical hypersurfaces

Speaker: Gabe Kerr (KSU)

Abstract: In this talk, I will give the definition of the phase tropical hypersurface arising from a polytope with a coherent triangulation. This is a topological version of a singular integrable system. I will discuss aspects of a joint work with I. Zharkov which proved that there is a homeomorphism between the phase tropical hypersurface and a complex hypersurface (this is known as Viro's Conjecture). With this, Mikhalkin's pair of pants decomposition of a complex hypersurface becomes a polyhedral decomposition and several Lagrangians arising in mirror symmetry have conjectural accompanying decompositions which are well controlled topologically. I will discuss these subcomplexes and evidence of their mirrors in matrix factorizations. This is joint work with I. Zharkov.

Dial-In Information

https://ksu.zoom.us/j/95834254862

Meeting ID: 958 3425 4862

Thursday, May 7, 2020 at 3:30pm to 5:00pm

Event Type

Lecture, Colloquia, Seminar

Website

https://www.math.ksu.edu/research/m-c...

Department
Mathematics, Department of
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