Prof. Tamas Hausel, Arithmetic and physics of Higgs moduli(...)
© 2012 EPFL
The excellence of the research performed at EPFL has once again been recognized at an international level. Tamas Hausel has received an ADVANCED GRANT 2012 from the European Research Council (ERC).
Arithmetic and physics of Higgs moduli spaces
The proposal studies problems concerning the geometry and topology of moduli spaces of Higgs bundles on a Riemann surface motivated by parallel considerations in number theory and mathematical physics. In this way the proposal bridges various duality theories in string theory with the Langlands program in number theory.The heart of the proposal is a circle of precise conjectures relating to the topology of the moduli space of Higgs bundles. The formulation and motivations of the conjectures make direct contact with the Langlands program in number theory, various duality conjectures in string theory, algebraic combinatorics, knot theory and low dimensional topology and representation theory of quivers, finite groups and algebras of Lie type and Cherednik algebras.
Max ERC funding: 1.3 million Euros
Duration: 60 months
Host institution: EPFL
Project acronym: ARIPHYHIMO
Domain: Physical and Engineering Sciences