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...
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