This Week in Mathematics


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Entries for this week: 3

Wednesday November 12, 2025

Biomathematics Journal Club
Theoretical Reconstruction of Field Potentials and Dendrodendritic Synaptic Interactions in Olfactory Bulb
- David Wharton, FSU
Time: 5:00 Room: Dirac Library

Thursday November 13, 2025

Algebra seminar
Tropical Abel--Jacobi theory
- Dan Corey, Embry-Riddle Aeronautical University
Time: 3:05pm Room: LOV 0231
Abstract/Desc: The intermediate Jacobians and Abel–Jacobi map are higher-dimensional generalizations of the classical Jacobian and Abel–Jacobi map for curves. They are powerful tools for studying higher-dimensional algebraic varieties. For example, they may be used find obstructions to rational and algebraic equivalence of cycles. In this talk, I will explain how to extend these constructions to tropical varieties of arbitrary dimension. As in the classical setting, the tropical versions yield obstructions to rational and algebraic equivalence. We will apply this framework to the Ceresa cycle—a canonical nullhomologous cycle associated to an algebraic curve that has been the subject of significant recent interest. I will present a combinatorial formula for the Abel–Jacobi image of the tropical Ceresa cycle and discuss its relationship with the complex and l-adic Ceresa classes. This is joint work with Omid Amini and Leonid Monin.

Financial Math
TBD
- Farez Siddiqui, Florida State University
Time: 3.05 Room: 105

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Department of Mathematics

This Week in Mathematics