Title: The tropical Donagi theorem
Abstract: The Torelli morphism assigning to a smooth projective curve its Jacobian is well known to be injective. Generalizing to Prym varieties, the situation becomes much richer. Indeed, the Prym-Torelli morphism assigning to an étale double cover of smooth curves its Prym variety is never injective. Donagi introduced the tetragonal construction and gained beautiful insight into this structure, which is particularly striking in genus 6.
In this talk, I will present a purely tropical analogue of Donagi's construction and main theorem. This is joint work with Thomas Saillez and draws from previous joint work with Dmitry Zakharov.
The advanced seminar begins at 4:00 pm s.t..