Combinatorics of the tropical Torelli map

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Speaker:

Melody Chan (UC Berkeley)

Abstract:

The Torelli map, taking an algebraic curve to its Jacobian, has a tropical analogue, developed in recent work by Brannetti, Melo, and Viviani. I will discuss the tropical Torelli map, with a focus on combinatorics and computations in low genus. Metric graphs, positive semidefinite forms, and regular matroids all play a role.

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