Tuesday, May 16, 14:00, 7.527
Merlin Christ (University of Hamburg), Graded Brauer graph algebras and
constructible sheaves of categories, I and II.
Constructible sheaves on graphs are of a combinatorial nature: they assign a
value to each vertex and to each edge of the graph, and a morphism to each
incidence of a vertex and an edge. We will survey how one can construct and
study classed of derived categories of associative (dg-)algebras using such
constructible sheaves on graphs, with values in enhanced triangulated
categories (stable infinity-categories). The main examples will be graded
Brauer graph algebras. Their Koszul dual dg-algebras are given by quotients
of Ginzburg dg-algebras associated with triangulated surfaces. As an
application of the sheaf description, one can obtain a (partial) geometric
model, relating their representation theory with the geometry of a marked
surface. Partially based on joint work with F. Haiden and Y. Qiu.