One world IAMP mathematical physics seminar

This online seminar takes place on Tuesdays at UTC 13-14, which is equivalent to 9-10pm (China Standard Time); 3-4pm (Central European Summer Time); 9-10am (Eastern Daylight Time); 6-7am (Pacific Daylight Time).

Current organisers are Jan Dereziński (Warsaw) and Daniel Ueltschi (Warwick).

Scientific committee: Mihalis Dafermos (Cambridge), Stephan De Bièvre (Lille), Bernard Helffer (Nantes), Vojkan Jaksic (McGill), Antti Kupiainen (Helsinki), Mathieu Lewin (Paris Dauphine), Hal Tasaki (Gakushuin).

If you would like to receive seminar announcements, please send an email to IAMPseminars@gmail.com with “subscribe” in the subject line; or “unsubscribe” to have your email address removed. You can also email comments or suggestions.

Other One World seminars are listed on the webpage of the probability seminar, which initiated the series. The researchseminars.org webpage lists further mathematical-physics seminars.

Upcoming seminars

June 2, 2020 Mihalis Dafermos (Cambridge University)
The nonlinear stability of the Schwarzschild metric without symmetry
I will discuss an upcoming result proving the full finite-codimension non-linear asymptotic stability of the Schwarzschild family as solutions to the Einstein vacuum equations in the exterior of the black hole region. No symmetry is assumed. The work is based on our previous understanding of linear stability of Schwarzschild in double null gauge. Joint work with G. Holzegel, I. Rodnianski and M. Taylor.
Video link: zoom.us/j/99872614737. Password: 063549.
June 9, 2020 Andreas Winter (Universitat Autònoma de Barcelona)
Energy-constrained diamond norms and the continuity of channel capacities and of open-system dynamics
The channels, and more generally superoperators acting on the trace class operators of a quantum system naturally form a Banach space under the completely bounded trace norm (aka diamond norm). However, it is well-known that in infinite dimension, the norm topology is often "too strong" for reasonable applications. Here, we explore a recently introduced energy-constrained diamond norm on superoperators (subject to an energy bound on the input states). Our main motivation is the continuity of capacities and other entropic quantities of quantum channels, but we also present an application to the continuity of one-parameter unitary groups and certain one-parameter semigroups of quantum channels.
Video link: TBA
June 16, 2020 Nicola Pinamonti (University of Genova)
Title: TBA
Abstract: TBA
Video link: TBA
June 23, 2020 Nilanjana Datta (University of Cambridge)
Title: TBA
Abstract: TBA
Video link: TBA
June 30, 2020 Laure Saint-Raymond (ENS Lyon)
Fluctuation theory in the Boltzmann-Grad limit
Abstract: TBA
Video link: TBA
July 7, 2020 Bruno Després (Sorbonne University)
Title: TBA
Abstract: TBA
Video link: TBA
July 14, 2020 Hal Tasaki (Gakushuin University)
Title: TBA
Abstract: TBA
Video link: TBA

Past seminars

May 26, 2020 Sven Bachmann (University of British Columbia)
Adiabatic quantum transport
In the presence of a spectral gap above the ground state energy, slowly driven condensed matter systems may exhibit quantized transport of charge. One of the earliest instances of this fact is the Laughlin argument explaining the integrality of the Hall conductance. In this talk, I will discuss transport by adiabatic processes in the presence of interactions between the charge carriers. I will explain the central role played by the locality of the quantum dynamics in two instances: the adiabatic theorem and an index theorem for quantized charge transport. I will also relate fractional transport to the anyonic nature of elementary excitations.
Video link: youtu.be/ErgMuxMR_1A.
May 19, 2020 Pierre Clavier (University of Potsdam)
Borel-Ecalle resummation for a Quantum Field Theory
Borel-Ecalle resummation of resurgent functions is a vast generalisation of the well-known Borel-Laplace resummation method. It can be decomposed into three steps: Borel transform, averaging and Laplace transform. I will start by a pedagogical introduction of each of these steps. To illustrate the feasability of the Borel-Ecalle resummation method I then use it to resum the solution of a (truncated) Schwinger-Dyson equation of a Wess-Zumino model. This will be done using known results about this Wess-Zumino model as well as Sauzin's analytical bounds on convolution of resurgent functions.
Video link: youtu.be/EzRoLEZhono.
May 12, 2020 Jan Philip Solovej (University of Copenhagen)
Universality in the structure of Atoms and Molecules
Abstract: The simplest approximate model of atoms and molecules is the celebrated Thomas-Fermi model. It is known to give a good approximation to the ground state energy of heavy atoms. The understanding of this approximation relies on a beautiful and very accurate application of semi-classical analysis. Although the energy approximation is good, it is, unfortunately, far from being accurate enough to predict quantities relevant to chemistry. Thomas-Fermi theory may nevertheless tell us something surprisingly accurate about the structure of atoms and molecules. I will discuss how a certain universality in the Thomas-Fermi model, indeed, holds approximately in much more complicated models, such as the Hartree-Fock model. I will also show numerical and experimental evidence that the approximate universality may hold even for real atoms and molecules.
Video link: youtu.be/FCxkP7CqtQQ.
May 5, 2020 Martin Hairer (Imperial College London)
The Brownian Castle
Video link: youtu.be/Ve_EFZDbXTU.
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