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Timetable (SRQW02)

Quantum field theory, renormalisation and stochastic partial differential equations

Monday 22nd October 2018 to Friday 26th October 2018

Monday 22nd October 2018
09:00 to 09:20 Registration
09:20 to 09:30 Welcome from Christie Marr (INI Deputy Director)
09:30 to 10:30 Giovanni Jona-Lasinio (Università degli Studi di Roma La Sapienza)
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INI 1
10:30 to 11:00 Morning Coffee
11:00 to 12:00 Volker Bach (Johannes Gutenberg-Universität Mainz)
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INI 1
12:00 to 13:30 Lunch at Churchill College
13:30 to 14:30 Abdelmalek Abdesselam (University of Virginia)
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INI 1
14:30 to 15:30 Patricia Gonçalves (Instituto Superior Técnico, Lisboa)
Non-equilibrium fluctuations for the slow boundary symmetric exclusion
In this talk, I will present the symmetric simple exclusion process in contact with slow stochastic reservoirs which are regulated by a factor $n^{-\theta}$, $\theta\geq 0$. I will review the hydrodynamic limit and the goal of my talk is to present the non-equilibrium fluctuations for this model. Depending on the range of the parameter $\theta$ we obtain processes with various boundary conditions. As a consequence of the previous result together with an application of the matrix ansatz method - which gives us information on the stationary measure for the model - we deduce the non-equilibrium stationary fluctuations. The main ingredient to prove these results is the derivation of precise bounds on the two-point space-time correlation functions.
INI 1
15:30 to 16:00 Afternoon Tea
16:00 to 17:00 Manfred Salmhofer (Universität Heidelberg)
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INI 1
17:00 to 18:00 Welcome Wine Reception at INI
Tuesday 23rd October 2018
09:00 to 10:00 Giuseppe Da Prato (Scuola Normale Superiore di Pisa)
BV functions in separable Hilbert spaces
A probabily m non necessarily Gaussian is given in a separable Hilbert space. We present necessary and sufficient conditions for a function u has a finite total variation with respect to m. Several examples of set of finite perimeters are presented.
INI 1
10:00 to 11:00 Marcello Porta (ETH Zürich)
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INI 1
11:00 to 11:30 Morning Coffee
11:30 to 12:30 John Imbrie (University of Virginia)
Feshbach-Schur RG for the Anderson Model
Consider the localization problem for the Anderson model of a quantum particle moving in a random potential. We develop a renormalization-group framework based on a sequence of Feshbach-Schur maps. Each map produces an effective Hamiltonian on a lower-dimensional space by localizing modes in space and in energy. Randomness in ever-larger neighborhoods produces nontrivial eigenvalue movement and separates eigenvalues, making the next step of the RG possible. We discuss a particularly challenging case where the disorder has a discrete distribution.
INI 1
12:30 to 14:00 Lunch at Churchill College
14:00 to 15:00 Seiichiro Kusuoka (Okayama University)
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INI 1
15:00 to 16:00 Martin Lohmann (University of British Columbia)
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INI 1
16:00 to 16:30 Afternoon Tea
Wednesday 24th October 2018
09:00 to 10:00 Stefan Hollands (Universität Leipzig); (Universität Leipzig)
Renormalization of quantum Yang-Mills theories in 4 dimensions
Non-abelian Yang-Mills theories are the key building blocks of the standard model of particle physics. Their renormalization, even at the perturbative level, is a difficult problem because it must be shown that -- and in precisely what sense -- there exists a renormalization scheme preserving local gauge invariance.

In this talk, I outline solutions to this problem (a) in the context of curved Lorentzian spacetimes and (b) within the context of flat Euclidean space. The methods presented are rather different, in that the first is based on a generalization of the Epstein-Glaser method -- also called "causal perturbation theory", while the second is based on the so called "flow equation method".

The talk will be introductory in nature.
INI 1
10:00 to 11:00 Kasia Rejzner (University of York)
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INI 1
11:00 to 11:30 Morning Coffee
11:30 to 12:30 Martin Hairer (Imperial College London)
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INI 1
12:30 to 13:30 Lunch at Churchill College
13:30 to 17:00 Free Afternoon
19:30 to 22:00 Formal Dinner at Emmanuel College (Old Library)
Thursday 25th October 2018
09:00 to 10:00 Ajay Chandra (University of Warwick)
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INI 1
10:00 to 11:00 Jeremie Unterberger (Université de Lorraine)
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INI 1
11:00 to 11:30 Morning Coffee
11:30 to 12:30 Franco Flandoli (Scuola Normale Superiore di Pisa)
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INI 1
12:30 to 14:00 Lunch at Churchill College
14:00 to 15:00 Martina Hofmanova (Bielefeld University)
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INI 1
15:00 to 16:00 Bertrand Duplantier (CEA/Saclay); (IHES)
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INI 1
16:00 to 16:30 Afternoon Tea
Friday 26th October 2018
09:00 to 10:00 Thierry Bodineau (École Polytechnique)
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INI 1
10:00 to 11:00 Fabien Vignes-Tourneret (Université Claude Bernard Lyon 1)
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INI 1
11:00 to 11:30 Morning Coffee
11:30 to 12:30 Yvain Bruned (University of Warwick)
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INI 1
12:30 to 13:30 Lunch at Churchill College
13:30 to 14:30 Margherita Disertori (Rheinische Friedrich-Wilhelms-Universität Bonn)
Supersymmetry and Ward identities: an alternative approach to renormalization.
joint work with T.Spencer and M.Zirnbauer
INI 1
14:30 to 15:30 Slava Rychkov (IHES); (École Normale Supérieure)
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INI 1
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons