Dhyan Aranha: Some ideas about (Virtual) Localization

Abstract

I would like to speak on joint work with Adeel Khan, Alyosha Latyntsev, Hyeonjun Park and Charanya Ravi about using homotopical methods to study torus and cosection localization (in this talk I will focus on torus localization). One of the consequences of this is a general form of Graber and Pandharipande's virtual localization formula with no hypothesis about global resolutions or global embeddings. Along the way I will describe a general concentration theorem for torus actions on stacks and a homotopy invariance result for quasi-smooth cone stacks.