ARIPHYHIMO

Arithmetic and physics of Higgs moduli spaces

Coordinatore	ECOLE POLYTECHNIQUE FEDERALE DE LAUSANNE    more Spiacenti, non ci sono informazioni su questo coordinatore. Contattare Fabio per maggiori infomrazioni, grazie.
Nazionalità Coordinatore	Switzerland [CH]
Totale costo	1˙304˙945 €
EC contributo	1˙304˙945 €
Programma	FP7-IDEAS-ERC Specific programme: "Ideas" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013)
Code Call	ERC-2012-ADG_20120216
Funding Scheme	ERC-AG
Anno di inizio	2013
Periodo (anno-mese-giorno)	2013-04-01   -   2018-03-31

 Partecipanti

#	participant	country	role	EC contrib. [€]
1	ECOLE POLYTECHNIQUE FEDERALE DE LAUSANNE  Organization address address: BATIMENT CE 3316 STATION 1 city: LAUSANNE postcode: 1015 contact info Titolo: Ms. Nome: Caroline Cognome: Vandevyver Email: send email Telefono: +41 21 693 4977 Fax: +41 21 693 55 85	CH (LAUSANNE)	hostInstitution	1˙304˙945.00
2	ECOLE POLYTECHNIQUE FEDERALE DE LAUSANNE  Organization address address: BATIMENT CE 3316 STATION 1 city: LAUSANNE postcode: 1015 contact info Titolo: Prof. Nome: Tamas Cognome: Hausel Email: send email Telefono: 412169000000 Fax: 41219630350	CH (LAUSANNE)	hostInstitution	1˙304˙945.00

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 Obiettivo del progetto (Objective)

'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.'