Sabrina Pauli - Counting curves over an arbitrary field using tropical geometry - 15.06.2023
Channel: Hörsaal Mathematikon
Date: 18/06/2023

Hodge theory, Mirror Symmetry, and Physics of Calabi-Yau Moduli
https://web.mathi.uni-heidelberg.de/cymod23
A MATCH-PIMS-STRUCTURES workshop in Mathematical Physics, held from June 12 to 16, 2023, at the Mathematikon in Heidelberg
For more talks visit https://www.youtube.com/playlist?list=PL57PsbjMibmQ37JSKzyxqvmIhyAfF1iFs

Abstract: Mikhalkin's celebrated correspondence theorem establishes a correspondence between algebraic curves and tropical curves. Consequently, the count of algebraic curves equals the weighted count of tropical curves. There are several versions of this correspondence including one for the count of complex curves and one for the real count. In the talk, I will present work in progress joint with Andrés Jaramillo Puentes in which we provide a version Mikhalkin's correspondence theorem over an arbitrary base field k. I will also give a short introduction to counting curves over different fields and tropical geometry.