Title: Holomorphic differentials and stability in Fukaya categories
Speaker: Pranav Pandit (ICTS, Bangalore)
Date: 21 January 2019
Time: 4 pm
Venue: LH-1, Mathematics Department
Spectral networks are certain decorated graphs drawn on a Riemann surface.
I will describe a conjectural picture in which spectral networks can be
viewed as analogues of Hermitian-Einstein metrics on vector bundles,
and in which holomorphic differentials on the Riemann surface arise
as stability conditions on certain Fukaya-type categories.
This talk is based on various joint projects with Fabian Haiden,
Ludmil Katzarkov, Maxim Kontsevich, and Carlos Simpson.