Abstract

Soergel theory is a cornerstone of modern geometric representation theory, developed by Wolfgang Soergel in the early 1990s. It provides powerful algebraic, geometric, and combinatorial tools for studying the representation theory of complex semisimple Lie algebras. In this lecture series, we will introduce the foundations of Soergel theory, with particular emphasis on Soergel's celebrated Erweiterungssatz, Endomorphismensatz, and Struktursatz. We will also discuss several important applications of these results, including derived Satake, Koszul duality and endoscopic equivalences. In this talk, we plan to present an algebraic approach to Soergel theory.

Organizer

Cheng-Chiang Tsai (Academia Sinica)