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Timetable (SRQW01)

Renormalisation in quantum field theory and in stochastic partial differential equations: a gentle introduction and some recent developments

Monday 3rd September 2018 to Friday 7th September 2018

Monday 3rd September 2018
09:00 to 09:50 Registration
09:50 to 10:00 Welcome from David Abrahams (INI Director)
10:00 to 11:00 Antti Kupiainen (University of Helsinki)
tba - 1
INI 1
11:00 to 11:30 Morning Coffee
11:30 to 12:30 Antti Kupiainen (University of Helsinki)
tba - 2
INI 1
12:30 to 13:30 Buffet Lunch at INI
13:30 to 14:30 Martin Hairer (Imperial College London)
Stochastic quantisation of Yang-Mills
Co-authors: Ajay Chandra (Imperial College London), Hao Shen (Columbia University)
INI 1
14:30 to 15:30 Felix Otto (Max-Planck-Institut für Mathematik, Leipzig)
tba - 1
INI 1
15:30 to 16:00 Afternoon Tea
16:00 to 17:00 Felix Otto (Max-Planck-Institut für Mathematik, Leipzig)
tba - 2
INI 1
17:00 to 18:00 Welcome Wine Reception at INI
Tuesday 4th September 2018
09:00 to 10:00 Lorenzo Zambotti (Université Pierre et Marie Curie Paris)
Renormalisation in regularity structures - 1
This should be a mini-course on the algebraic side of the theory of regularity structures.
INI 1
10:00 to 11:00 Lorenzo Zambotti (Université Pierre et Marie Curie Paris)
Renormalisation in regularity structures - 2
This should be a mini-course on the algebraic side of the theory of regularity structures.
INI 1
11:00 to 11:30 Morning Coffee
11:30 to 12:30 Vieri Mastropietro (Università degli Studi di Milano)
tba - 1
INI 1
12:30 to 13:30 Buffet Lunch at INI
13:30 to 14:30 Antti Kupiainen (University of Helsinki)
tba - 3
INI 1
14:30 to 15:30 Antti Kupiainen (University of Helsinki)
tba - 4
INI 1
15:30 to 16:00 Afternoon Tea
16:00 to 17:00 Terry Lyons (University of Oxford)
tba
INI 1
Wednesday 5th September 2018
09:00 to 10:00 Felix Otto (Max-Planck-Institut für Mathematik, Leipzig)
tba - 3
INI 1
10:00 to 11:00 Felix Otto (Max-Planck-Institut für Mathematik, Leipzig)
tba - 4
INI 1
11:00 to 11:30 Morning Coffee
11:30 to 12:30 Horst Knoerrer (ETH Zürich)
Symmetry breaking in a gas of bosons - an approach using constructive field theory
T.Balaban, J.Feldman, E.Trubowitz and the speaker have the long term goal to rigorously demonstrate symmetry breaking in a gas of weakly interaction bosons hopping on a three-dimensional lattice. Technically, to show that the correlation functions decay at a nonintegrable rate when the chemical potential is sufficiently positive, the nonintegrability reflecting the presence of a long range Goldstone boson mediating the inteaction between quasiparticles in the superfluid condensate. In addition to a report on the status of this program, I will try to describe in more detail the method of block spin transformations that we use to define and control a renormalization group flow.
INI 1
12:30 to 13:30 Buffet Lunch at INI
13:30 to 17:00 Free Afternoon
19:30 to 22:00 Formal Dinner at Gonville & Caius College
Thursday 6th September 2018
09:00 to 10:00 Gordon Slade (University of British Columbia)
tba - 1
INI 1
10:00 to 11:00 Gordon Slade (University of British Columbia)
tba - 2
INI 1
11:00 to 11:30 Morning Coffee
11:30 to 12:30 Nicolas Perkowski (Humboldt-Universität zu Berlin)
tba
INI 1
12:30 to 13:30 Buffet Lunch at INI
13:30 to 14:30 Lorenzo Zambotti (Université Pierre et Marie Curie Paris)
Renormalisation in regularity structures - 3
INI 1
14:30 to 15:30 Lorenzo Zambotti (Université Pierre et Marie Curie Paris)
Renormalisation in regularity structures - 4
INI 1
15:30 to 16:00 Afternoon Tea
16:00 to 17:00 Christoph Kopper (École Polytechnique)
tba
INI 1
Friday 7th September 2018
09:00 to 10:00 Gordon Slade (University of British Columbia)
tba - 3
INI 1
10:00 to 11:00 Gordon Slade (University of British Columbia)
tba - 4
INI 1
11:00 to 11:30 Morning Coffee
11:30 to 12:30 Roland Bauerschmidt (University of Cambridge)
tba
INI 1
12:30 to 13:30 Buffet Lunch at INI
13:30 to 14:30 Massimiliano Gubinelli (Universität Bonn)
A stochastic approach to constructive QFT
Co-author: Nikolay Barashkov (University of Bonn)

We propose a new existence proof of the Phi^4_{2,3} Euclidean quantum fields in a periodic domain using tools from stochastic analysis, in particular a stochastic control interpretation of Wilson's continuous RG.
INI 1
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons