| Description |
Abstract:
This talk is based on joint work with Fabian Haiden, Ludmil Katzarkov, and
Maxim Kontsevich. I will describe our attempts to formalize and understand
the mathematical structures underlying the physical notion of stability
for D-branes in string theory. Our work builds upon Bridgeland’s notion of
stability conditions on triangulated categories, and is inspired by ideas
from symplectic geometry, non-Archimedean geometry, dynamical systems,
geometric invariant theory, and the Donaldson-Uhlenbeck-Yau
correspondence.
|