MS Seminar (Mathematics - String Theory)

Speaker: Sven Meinhardt (U of Sheffield)
Title: Categorifying Donaldson-Thomas invariants
Date: Tue, Nov 28, 2017, 13:15 - 14:45
Place: Balcony A
Abstract: Donaldson-Thomas invariants are rational numbers which provide a virtual count of objects in a 3-Calabi-Yau category. Examples of such categories are representations of quiver with potential, compactly supported coherent sheaves on Calabi-Yau 3-manifolds and local systems on compact oriented real 3-manifolds. In the present talk I will discuss categorifications of these invariants using the concept of Cohomological Hall algebras. This procedure was done successfully for quiver with potential in collaboration with Ben Davison. Generalizing this to the other two classes of examples is work in progress. Notice that the existence of a categorification implies that Donaldson-Thomas invariants are integers which was conjectured for many years.