COMPASP

Complex analysis and statistical physics

Coordinatore	UNIVERSITE DE GENEVE    more Spiacenti, non ci sono informazioni su questo coordinatore. Contattare Fabio per maggiori infomrazioni, grazie.
Nazionalità Coordinatore	Switzerland [CH]
Totale costo	1˙995˙900 €
EC contributo	1˙995˙900 €
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-2013-ADG
Funding Scheme	ERC-AG
Anno di inizio	2014
Periodo (anno-mese-giorno)	2014-01-01   -   2018-12-31

 Partecipanti

#	participant	country	role	EC contrib. [€]
1	UNIVERSITE DE GENEVE  Organization address address: Rue du General Dufour 24 city: GENEVE postcode: 1211 contact info Titolo: Dr. Nome: Alex Cognome: Waehry Email: send email Telefono: +41 22 379 75 60 Fax: +41 22 379 11 80	CH (GENEVE)	hostInstitution	1˙995˙900.00
2	UNIVERSITE DE GENEVE  Organization address address: Rue du General Dufour 24 city: GENEVE postcode: 1211 contact info Titolo: Prof. Nome: Stanislav Cognome: Smirnov Email: send email Telefono: +41 22 3791149 Fax: +41 22 3791176	CH (GENEVE)	hostInstitution	1˙995˙900.00

Mappa

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 Obiettivo del progetto (Objective)

'The goal of this project is to achieve breakthroughs in a few fundamental questions in 2D statistical physics, using techniques from complex analysis, probability, dynamical systems, geometric measure theory and theoretical physics. Over the last decade, we significantly expanded our understanding of 2D lattice models of statistical physics, their conformally invariant scaling limits and related random geometries. However, there seem to be serious obstacles, preventing further development and requiring novel ideas. We plan to attack those, in particular we intend to: (A) Describe new scaling limits by Schramm’s SLE curves and their generalizations, (B) Study discrete complex structures and use them to describe more 2D models, (C) Describe the scaling limits of random planar graphs by the Liouville Quantum Gravity, (D) Understand universality and lay framework for the Renormalization Group Formalism, (E) Go beyond the current setup of spin models and SLEs. These problems are known to be very difficult, but fundamental questions, which have the potential to lead to significant breakthroughs in our understanding of phase transitions, allowing for further progresses. In resolving them, we plan to exploit interactions of different subjects, and recent advances are encouraging.'