Tropical geometry of generic root counts
Organizers
Speaker
Yue Ren
Time
Thursday, June 6, 2024 3:00 PM - 4:00 PM
Venue
A6-101
Online
Zoom 638 227 8222
(BIMSA)
Abstract
In this talk, we will discuss the problem of determining the generic root counts of parametrised polynomial systems over an algebraically closed field.
We will briefly touch upon the motivation from polynomial system solving, and describe how tropical geometry can help in this task. We will give a brief glimpse on the algebraic geometry behind the tropical intersection product, and discuss various strategies how the latter can be computed. We conclude the talk by highlighting applications to chemical reaction networks, coupled oscillators, and graph rigidity.
We will briefly touch upon the motivation from polynomial system solving, and describe how tropical geometry can help in this task. We will give a brief glimpse on the algebraic geometry behind the tropical intersection product, and discuss various strategies how the latter can be computed. We conclude the talk by highlighting applications to chemical reaction networks, coupled oscillators, and graph rigidity.