Hodge theoretic aspects of Soergel bimodules and representation theory

Patimo, Leonardo

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Hodge theoretic aspects of Soergel bimodules and representation theory

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Patimo, Leonardo
Max Planck Institute for Mathematics, Max Planck Society;

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https://hdl.handle.net/20.500.11811/7487
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Patimo, L. (2018). Hodge theoretic aspects of Soergel bimodules and representation theory. PhD Thesis, Rheinische Friedrich-Wilhelms-Universität Bonn, Bonn.

Cite as: https://hdl.handle.net/21.11116/0000-0004-05F1-6

Abstract

In the last years, methods coming from Hodge theory have proven to be fruitful in representation theory, most remarkably leading to a new algebraic proof of the Kazhdan-Lusztig conjectures based on the Hodge theory of Soergel bimodules. In this thesis we study several aspects of connection between Hodge theory and representation theory, following several directions.