Speaker Introduction

Dr. Dulip Piyaratne, an Associate Professor at Xiamen University Malaysia, graduated from University of Edinburgh in 2014.

Abstract

In this talk, we will first review stability concepts for sheaves, followed by their generalization for derived categories and an exploration of how derived auto equivalences interact with them. Subsequently, we will delve into the reduced Donaldson-Thomas theory of abelian three folds using Bridgeland stability conditions. Specifically, we will demonstrate the invariance of the reduced Donaldson-Thomas invariants under all derived autoequivalences, up to explicitly given wall-crossing terms. This work is a collaboration with Georg Oberdieck and Yukinobu Toda. Department of Mathematics and Applied Mathematics, Xiamen University Malaysia.