Sep 12 – 14, 2022
Toulouse
Europe/Paris timezone

The Fundamental Theorem of Tropical Partial Differential Algebraic Geometry

Sep 13, 2022, 2:30 PM
40m
Toulouse

Toulouse

Amphithéâtre Laurent Schwartz, Bat 1R3, UPS

Speaker

Mercedes Haiech (Université de Limoges)

Description

Given a partial differential equation (PDE), its solutions can be difficult, if not impossible, to describe.
The purpose of the Fundamental theorem of tropical (partial) differential algebraic geometry is to extract from the equations certain properties of the solutions.
More precisely, this theorem proves that the support of the solutions in $k[[t_1, \cdots, t_m]]$ (with $k$ a field of characteristic zero) of differential equations can be obtained by solving a so-called tropicalized differential system.

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