From extremal metrics and gradient flows to categorical Kähler geometry.

by Prof. Pranav Pandit (University of Vienna, Austria)

Thursday 28 Sept 2017, 16:00 → 17:00 Asia/Kolkata

AG-69 (TIFR, Mumbai)

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.