AbstractThe goal of this course is to introduce the audience to the emerging field of perverse schobers in the language of Lurie's stable infinity-categories and describe applications to the representation theory of dg-algebras. In general, perverse schobers are a conjectural categorification of perverse sheaves, proposed by Kapranov-Schechtman. In the case of perverse schobers on surfaces with...
Abstract:One of the central foci of representation theory in the 20th century was the representation theory of Lie algebras, starting with finite dimensional algebras and expanding to a rich, but still mysterious infinite dimensional theory. In this century, we realized that this was only one special case of a bigger theory, with new sources of interesting non-commutative algebras whose repres...