CORDIS Project
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This project focuses on the geometric representation theory of algebraic groups over fields with positive characteristics. It aims to derive character formulas for specific representations by developing a new geometric framework, addressing longstanding challenges in the field.
The main theme of this proposal is the Geometric Representation Theory of reductive algebraic groups over algebraically closed fields of positive characteristic.
Our primary goal is to obtain character formulas for simple and for indecomposable tilting representations of such groups, by developing a geometric framework for their categories of representations.Obtaining such formulas has been one of the main problems in this area since the 1980's. A program outlined by G.
Lusztig in the 1990's has…
UNIVERSITE CLERMONT AUVERGNE
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