CORDIS Project
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This project develops a framework linking representation theory, topology, and mirror symmetry in mathematics. It introduces new algebraic structures to study complex systems, aiming to provide insights applicable to various mathematical and quantum physics fields.
We propose a three-way dictionary between representation theory of complex semisimple Lie groups,equivariant topology of affine Schubert varieties and mirror symmetry for Langlands dual Hitchin systemsvia the language of fixed point schemes.
This unified framework will yield new insights and advanceswithin these fields, with applications extending to other areas of mathematics and quantum physics.We introduce big algebras, which are commutative algebras attached to representations of complex sem…
INSTITUTE OF SCIENCE AND TECHNOLOGY AUSTRIA
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