Tropicalization of the universal Jacobian: logarithmic and non-archimedean viewpoints

Abstract: We construct a tropical universal Jacobian on the category of cone stacks, generalizing previous work by Abreu and Pacini. We then show that this cone stack can be obtained by tropicalizing two versions of the algebraic universal Jacobian: the logarithmic universal Jacobian and the non-archimedean universal Jacobian. We then discuss the connection between our construction and Molcho-Wise’s logarithmic Picard and Picard stacks. The talk will be based on joint work with S. Molcho, M. Ulirsch, F. Viviani and J. Wise.

algebraic geometry

Audience: researchers in the topic

Comments: https://impa-br.zoom.us/j/86824790044?pwd=aDBhcXRVWjR5RXdUeHRhVFdVMzVYUT09

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