Obiettivo Quantum Field Theory (QFT) has become a universal framework in physics to study systems with infinite number of degrees of freedom. It has also had in the past significant interaction with Probability starting with Constructive QFT and rigorous statistical mechanics. The goal of this proposal is to bring QFT methods to probabilistic problems and new ideas from Probability to QFT. It concentrates on two concrete topics: (1) Renormalization Group study of rough Stochastic Partial Differential Equations, both their path wise solutions and their space-time correlations and stationary states. These equations are ubiquitous in non-equilibrium physics and they are mathematically challenging. (2) The use of Multiplicative Chaos theory in the rigorous construction and study of the Liouville Conformal Field Theory. Liouville theory is one of the most studied Conformal Field Theories in physics due to its connection to scaling limits of random surfaces and string theory. It has many mathematically puzzling features and its rigorous study is now possible. Although the physical applications of these theories are far apart on the level of mathematical methods they have a common unity based on renormalization theory that I want to utilize. I think time is ripe for a new fruitful interaction between QFT and Probability. Campo scientifico scienze naturaliscienze fisichefisica quantisticateoria quantistica dei campiscienze naturaliscienze fisichefisica teoreticateoria delle stringhescienze naturaliscienze fisichemeccanica classicameccanica statisticascienze naturalimatematicamatematica applicatafisica matematicateoria dei campi conformescienze naturalimatematicamatematica puraanalisi matematicaequazioni differenzialiequazioni differenziali parziali Programma(i) H2020-EU.1.1. - EXCELLENT SCIENCE - European Research Council (ERC) Main Programme Argomento(i) ERC-2016-ADG - ERC Advanced Grant Invito a presentare proposte ERC-2016-ADG Vedi altri progetti per questo bando Meccanismo di finanziamento ERC-ADG - Advanced Grant Coordinatore HELSINGIN YLIOPISTO Contribution nette de l'UE € 2 463 412,00 Indirizzo Yliopistonkatu 3 00014 Helsingin yliopisto Finlandia Mostra sulla mappa Regione Manner-Suomi Helsinki-Uusimaa Helsinki-Uusimaa Tipo di attività Higher or Secondary Education Establishments Collegamenti Contatta l’organizzazione Opens in new window Sito web Opens in new window Partecipazione a programmi di R&I dell'UE Opens in new window Rete di collaborazione HORIZON Opens in new window Altri finanziamenti € 0,00 Beneficiari (1) Classifica in ordine alfabetico Classifica per Contributo netto dell'UE Espandi tutto Riduci tutto HELSINGIN YLIOPISTO Finlandia Contribution nette de l'UE € 2 463 412,00 Indirizzo Yliopistonkatu 3 00014 Helsingin yliopisto Mostra sulla mappa Regione Manner-Suomi Helsinki-Uusimaa Helsinki-Uusimaa Tipo di attività Higher or Secondary Education Establishments Collegamenti Contatta l’organizzazione Opens in new window Sito web Opens in new window Partecipazione a programmi di R&I dell'UE Opens in new window Rete di collaborazione HORIZON Opens in new window Altri finanziamenti € 0,00
