Events Archive

Mathematical Physics Seminar, Tues, Oct 3, 4:30pm, Jadwin A07, Jakob Bjornberg, University of Gothenburg, "Dimerisation in mirror models and quantum spin chains"
Tue, Oct 3, 2023, 4:30 pm5:30 pm

We consider two models of random loops where we prove breaking of translational symmetry. The first is a mirror model, where the loops are formed by light rays bouncing in a labyrinth of randomly oriented mirrors. The second is a probabilistic representation of a quantum spin chain, and can be obtained as a limit of the first, for inhomogeneous…

Mathematical Physics Seminar, Tues, Sep 26, 4:30pm, Jadwin A07, Margherita Disertori, University of Bonn,"Phase transition in the Integrated Density of States of the Anderson model arising from a supersymmetric sigma model"
Tue, Sep 26, 2023, 4:30 pm5:30 pm

Localization/delocalization transition in random Schrödinger operators cannot in general be seen from the behavior of the corresponding Integrated Density of States (IDS). Here we consider a random Schrödinger operator appearing in the study of certain reinforced random processes in connection with a supersymmetric sigma-model, and show that…

Mathematical Physics Seminar, Tues, Sept 19, 4:30pm, Jadwin A07, Oren Yakir, Tel-Aviv University, "Random Weierstrass zeta functions"
Tue, Sep 19, 2023, 4:30 pm5:30 pm

In electrostatic terminology, an electrical field of a stationary point process is a vector field whose distributional divergence is equal to the counting measure of the point process minus the Lebesgue measure. In the talk we will give a simple answer to the following question: when does a planar stationary point process generate a stationary…

Mathematical Physics Seminar, Tues, April 18, 4:30pm, Jadwin A06, Ian Jauslin, Rutgers University, "Non-perturbative Behavior of Interacting Bosons at Intermediate Densities"
Tue, Apr 18, 2023, 4:30 pm5:30 pm

Much attention has been given to systems of interacting Bosons in the dilute regime, where powerful theoretical tools such as Bogolyubov theory give detailed and accurate predictions. In this talk, I will discuss a different approach to studying the ground state of Boson systems, which Carlen, Lieb and I have recently found to be accurate at…

Mathematical Physics Seminar, Tues, April 11, 4:30pm, Jadwin A06, Dan Borgnia, UC Berkeley,"Projected Green's Function Methods Applied to Quasi-Periodic Systems and the Dry Ten Martini Problem"
Tue, Apr 11, 2023, 4:30 pm5:30 pm

The resolvents of finite volume restricted Hamiltonians, GxxΛ(⍵), have long been used to describe the localization of quantum systems. More recently, projected Green's functions (pGfs) -- finite volume restrictions of the resolvent -- have been applied to translation invariant free fermion systems, and the pGf zero eigenvalues have been shown…

Mathematical Physics Seminar, Tues, Mar 28, 4:30pm, Jadwin A06, Ron Peled, Tel Aviv University and IAS, "Minimal Surfaces in Random Environment"
Tue, Mar 28, 2023, 4:30 pm5:30 pm

A minimal surface in a random environment (MSRE) is a surface which minimizes the sum of its elastic energy and its environment potential energy, subject to prescribed boundary values. Apart from their intrinsic interest, such surfaces are further motivated by connections with disordered spin systems and first-passage percolation models. We…

Mathematical Physics Seminar, Tues, Mar 7, 4:30pm, Jadwin A06, Xin Sun, University of Pennsylvania,"Random Surface, Planar Lattice Model and Conformal Field Theory"
Tue, Mar 7, 2023, 4:30 pm5:30 pm

Liouville quantum gravity (LQG) is a theory of random surfaces that originated from string theory. Schramm Loewner evolution (SLE) is a family of random planar curves describing scaling limits of many 2D lattice models at their criticality. Before the rigorous study via LQG and SLE in&nbsp…

Mathematical Physics Seminar, Tues, Feb 21, 4:30pm, Jadwin A06, Guillaume Remy, IAS,"A Probabilistic Approach to Liouville CFT"
Tue, Feb 21, 2023, 4:30 pm5:30 pm

Liouville theory was introduced by A. Polyakov in 1981 as the theory governing the conformal factor in the summation over all 2d Riemannian metrics. In recent years it has undergone extensive study in the probability community, and numerous conformal field theory (CFT) predictions have been established at a mathematical level of rigor…

Mathematical Physics Seminar, Tues, Feb 7, 4:30 PM, Jadwin A06, Chokri Manai, TU-Munich, "Quantum Spin Glasses"
Tue, Feb 7, 2023, 4:30 pm5:30 pm

I will give an overview over recent results on mean-field spin-glass models with a transversal magnetic field. For such models both thermodynamic quantities such as the free energy and its fluctuations, as well as spectral and localization properties of eigenvectors are of interest to a diverse list of communities. A full mathematical analysis…

Hamilton Colloquium Series, Roland Bauerschmidt, University of Cambridge"Different Perspectives in Statistical Physics" Jadwin A-10
Thu, Dec 1, 2022, 4:00 pm5:00 pm

The use of different perspectives on a problem is a very powerful principle in statistical physics, and has been especially important in mathematical physics. I will illustrate this theme with old and recent applications. These include the interpretation of QFTs at imaginary time as statistical fields, the relation of statistical fields to…

A free lecture open to the public.
Mathematical Physics Seminar, Tues, Nov. 15, 4:30pm, Jadwin A06, Eliran Subag, Weizmann Institute, "Free Energy Landscapes and a Generalized TAP Approach"
Tue, Nov 15, 2022, 4:30 pm5:30 pm

In the Thouless-Anderson-Palmer approach to mean-field spin glasses, the free energy is presented as the infimum of a functional which TAP defined over the space of all possible magnetization vectors, subject to a convergence condition. Its self-averaging over exponentially many solutions at low temperature seems to be taken for granted, though…

Mathematical Physics Seminar, Tues, Oct. 11, 4:30pm, Jadwin A06, Scott Sheffield, MIT,IAS, "Yang-Mills and Surface Sums in Two Dimensions"
Tue, Oct 11, 2022, 4:30 pm5:30 pm

Although lattice Yang-Mills theory is easy to rigorously define, the construction of a satisfactory continuum theory is a major open problem in dimension d ≥ 3. Such a theory should assign a Wilson loop expectation to each suitable collection L of loops in d-dimensional space. One classical approach is to try to represent this expectation as a…

Mathematical Physics Seminar, Tues Mar 29, 4:30PM, Jadwin A06, Vieri Mastropietro, IAS and University of Milan, "Anomaly non-renormalization on a lattice"
Tue, Mar 29, 2022, 4:30 pm4:30 pm

The Adler-Bardeen non-renormalization is a basic property of anomalies with important physical implications, ranging from particle physics to condensed matter. We prove its validity in lattice models at a non-perturbative level, focusing in particular on fermion-vector boson models in 3+1 and 1+1 dimensions. The proof relies on regularity…

Mathematical Physics Seminar, Tues Mar 22, 4:30pm, Jadwin A06, Louis-Pierre Arguin, Baruch College & Graduate Center CUNY``Statistical mechanics perspective on the large values of the Riemann zeta function’’
Tue, Mar 22, 2022, 4:30 pm4:30 pm

I will give an account of the recent progress in probability and in number theory to understand the large values of the zeta function on the critical line, especially in short intervals. The problems have interesting connections to statistical mechanics of disordered systems, both in their interpretations…

Mathematical Physics Seminar, Tues Mar 15, 4:30pm, Jadwin A06, Amol Aggarwal, IAS, Princeton,"Six-Vertex Model and the KPZ Universality Class "
Tue, Mar 15, 2022, 4:30 pm4:30 pm

In this talk we explain recent results relating the six-vertex model and the Kardar-Parisi-Zhang (KPZ) universality class. In particular, we describe how the six-vertex model can be used to analyze stochastic interacting particle systems, such as asymmetric exclusion processes, and how infinite-volume pure…

Mathematical Physics Seminar, Tues, Nov 30, 4:30 pm, Jadwin A-06, Simone Warzel, TU-Munich, “The Spectral Gap in Fractional Hall Systems”
Tue, Nov 30, 2021, 4:30 pm4:30 pm

In this talk I will give an overview of recent progress regarding mathematical questions and proofs of the spectral properties of Haldane pseudo-potentials. These are short range interactions projected onto the lowest Landau level and are tailored to model properties of fractional Hall fluids and their…

Mathematical Physics Seminar, Tue Nov. 9, 4:30 p.m. Jadwin A-06 - Simon Becker, Courant Institute, "Mathematical Properties of Twisted Bilayer Graphene"
Tue, Nov 9, 2021, 4:30 pm4:30 pm

Twistronics is the study of how the angle (the twist) between layers of two-dimensional materials can change their electronic structure. When two sheets of graphene are twisted by those angles the resulting material exhibits flat bands which, as argued in the physics literature, is related to…

Mathematical Physics Seminar, Tues, Nov 2, 4:30pm, Jadwin A06, Jacob Shapiro, Princeton University, “Depinning in the integer-valued Gaussian field and the BKT phase of the 2D Villain model”
Tue, Nov 2, 2021, 4:30 pm4:30 pm

It is shown that the Villain model of two-component spins over two dimensional lattices exhibits slow, non-summable, decay of correlations at any temperature at which the dual integer-valued Gaussian field exhibits depinning. For the latter, we extend the recent proof by Lammers of the existence of a…

The Universe from a single Particle - Michael Freedman - Microsoft Q
Mon, Nov 1, 2021, 4:30 pm4:30 pm

I will explore a toy model for our universe in which spontaneous symmetry breaking – acting on the level of operators (not states) - can produce the interacting physics we see about us from the simpler, single particle, quantum mechanics we study as undergraduates. Based on joint work with Modj Shokrian Zini, see arXiv:2011.05917 and arXiv:2108…

Mathematical Physics Seminar, Tues, Oct 26, 4:30pm, Jadwin A06, Terry Loring, University of New Mexico, “EMERGENT TOPOLOGY FROM FINITE VOLUME TOPOLOGICAL INSULATORS”
Tue, Oct 26, 2021, 4:30 pm4:30 pm

Finite volume (or area) models for topological insulators are closer to experiment than in_nite volume models. However, they are only indirectly connected to Brillouin zone and so we need to…