Room 509, Cosmology Building, NTU
(臺灣大學次震宇宙館 509研討室)
Soergel Theory and Applications (I): Overview of the Main Results
Tsao-Hsien Chen (University of Minnesota)
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 give an overview of the main results.
References:
(1) W. Soergel, Kategorie O, Perverse Garben Und Moduln Uber Den Koinvariantez Zur Weylgruppe Source: Journal of the American Mathematical Society, Vol. 3, No. 2 (Apr., 1990), pp. 421-445 Published by: American Mathematical Society
(2) R.Bezruakavnikov, S. Riche: A topological approach to Soergel theory, https://arxiv.org/pdf/1807.07614
(3) R.Bezruakavnikov, Course notes on Canonical bases and representation categories, https://math.mit.edu/~bezrukav/old/18_735.html
Organizer
Cheng-Chiang Tsai (Academia Sinica)
