Combinatorics of the tropical Torelli map
 
Melody Chan (University of Berkeley)



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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