Time: April 11, 2025, 4:00 pm Place: Room 403, IMI - BAS Speaker: Felipe Espreafico Guelerman, Sorbonne Université - Paris Title: On Motivic and Arithmetic Donaldson-Thomas invariants Further information: https://icms.bg/category/icms-seminar/ 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, A1-version of Donaldson-Thomas invariants from the motivic refinements first introduced in Kontsevich-Soibelman. Following ideas from Behrend, Bryan and Szendroi, we provide predictions for these invariants in a few simple examples, mainly the computation of DT invariants of A3. Our main goal is to draw relationships with the literature, including works of Levine, Denef and Loser, Azouri, Pepin-Lehaulleur, Srinivas among others. We begin with a brief introduction to A1-enumerative geometry [...]