Algebraic Geometry Seminar
Tristan COLLINS
Harvard
The J-equation, algebro-geometric stability and mirror symmetry.
Abstract: I will discuss the solvability of the J-equation,
which defines the critical point of Chen-Donaldson’s
J-functional. It is known that there do
not exist solutions to the J-equation in general – a
notion of algebro-geometric stability
has been proposed by Lejmi-Szekelyhidi which is
conjectured to be equivalent to the existence of solutions.
I will discuss a proof of this
conjecture on toric varieties, together with
some motivating connections with
mirror symmetry and Bridgeland stability.
This talk is based on joint
with G. Szekelyhidi, and A. Jacob and S.-T. Yau.
Wednesday November 1, 2017 at 4:00 PM in SEO 427