Segunda Palestra
Data: 20/03/2025 (quarta-feira), 10:30h, sala 321 do IMECC
Title: On Motivic and Arithmetic Donaldson-Thomas invariants
Abstract: Aiming to understand the relation to other "refined invariants", and especially their possible interpretation in quantum theory, we explain how to obtain a quadratic, A^1-version of Donaldson-Thomas invariants from the motivic refinements first introduced in Kontsevich-Soibelman. Following ideas from Behrend, Bryan and Szendroi, we calculate these invariants in a few simple examples that provide standard tests for our definitions. Our main goal is to make relationships with the literature, including works of Levine, Denef and Loser, Azouri, Pepin-Lehaulleur, Srinivas among others. In the end, we pose some further questions on possible extensions of our definitions. This is joint work with Johannes Walcher. We also comment on joint work in progress with Ran Azouri.
