CORDIS Project
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This project explores higher symmetries in representation theory, aiming to extend existing methods to general linear groups of larger ranks. It also investigates affine Hecke algebras to understand their homological structures, contributing to the field of algebraic geometry.
The subject of representation theory originally arose from the study of symmetries on certain spaces.
It has long been known that many two-dimensional geometric phenomena have algebraic explanations via the subject of representation theory.
In the last fifteen years it has been conjectured that analogous explanations for problems ins three-dimensional geometry should raise from introducing so-called higher symmetries, giving rise to the subject of 2-representation theory, or categorification.
Th…
UNIVERSITY OF EAST ANGLIA
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