Speaker: Amin Gholampour
Date: 10:30 05/08/2022
Title: 2-dimensional stable pairs on 4-folds

Abstract: I will discuss a 2-dimensional stable pair theory of nonsingular complex 4-folds that is parallel to Pandharipande-Thomas' 1-dimensional stable pair 
theory of 3-folds. These stable pairs are related to 2-dimensional subschemes of the 4-folds via wall-crossings in the space of polynomial stability 
conditions that led us to some categorical and Hall algebra relations. In Calabi-Yau case, we apply Oh-Thomas theory to define invariants counting 
these stable pairs under some restrains. If time allows, I will talk about some examples and applications. This is a joint work with Yunfeng Jiang and Jason Lo.