August 27th 3:40  5:00 PM 748 Evans Hall 
Haoren Xiong  The method of complex scaling Scattering resonances of Schrödinger operator with a compactly supported potential are defined as the poles of the meromorphic continuation of the resolvent. I will introduce the method of complex scaling which produces a natural family of nonselfadjoint operators whose discrete spectrum consists of resonances. Furthermore, we will see that similar results hold in the case of dilation analytic potentials.

September 3rd 3:40  5:00 PM 748 Evans Hall 
No HADES 
(MSRI workshop) 
September 10th 3:40  5:00 PM 748 Evans Hall 
Stéphane Nonnenmacher 
Random perturbations of nonselfadjoint operators, and the Gaussian Analytic Function The spectrum of a nonselfadjoint linear operator can be very unstable, that is sensitive to perturbations, an phenomenon usually referred to as the "pseudospectral effect". In order to quantify this phenomenon, we investigate a simple class of nonselfadjoint 1dimensional semiclassical (pseudo)differential operators, submitted to small random perturbations. The spectrum of this randomly perturbed operator is then viewed as a random point process on the complex plane, whose statistical properties we wish to analyze. Hager & Sjöstrand have shown that, in the semiclassical limit, the randomly perturbed eigenvalues satisfies a probabilistic form of Weyl's law, at the macroscopic scale. We in turn investigate the statistical distribution of the eigenvalues at the microscopic scale (scale of the distance between nearby eigenvalues). We show that at this scale, the spectral statistics satisfy a partial form of universality: spectral correlations can be expressed in terms of a universal object, the Gaussian Analytic Function (GAF), and a few parameters depending on the initial operator, and of the type of random disorder. A central tool in our analysis is a wellposed Grushin problem, which turns our spectral problem on L^2(R) into an effective nonlinear spectral problem on a finite dimensional subspace ("effective Hamiltonian"). This Grushin problem is set up by studying the "classical spectrum" of our initial semiclassical operator (a region in the complex plane), constructing quasimodes of this operator, and analyzing the (complex)energydependence of these quasimodes. This is joint work with Matin Vogel. 
September 17th 3:40  5:00 PM 740 Evans Hall 
Alix Deleporte 
Szegö kernels and Toeplitz operators Szegö kernels encode information on weighted holomorphic functions, or holomorphic sections. In an appropriate large curvature limit, they enjoy a semiclassical structure. Among other applications, these kernels are used to define an alternative quantization scheme : BerezinToeplitz quantization. This talk will be an opportunity to further motivate attendance to M.
Zworski's course.

September 24th 3:40  5:00 PM 740 Evans Hall 
Mohandas Pillai 
TBA 
October 1st 3:40  5:00 PM 740 Evans Hall 
Katrina Morgan 
TBA 
October 8th 3:40  5:00 PM 740 Evans Hall 
Amir Vig 
TBA 
October 15th 3:40  5:00 PM 740 Evans Hall 
TBA 
TBA 
October 22nd 3:40  5:00 PM 740 Evans Hall 
TBA 
TBA 
October 29th 3:40  5:00 PM 740 Evans Hall 
TBA 
TBA 
November 5th 3:40  5:00 PM 740 Evans Hall 
Jacob Shapiro 
TBA 
November 12th 3:40  5:00 PM 740 Evans Hall 
TBA 
TBA 
November 19th 3:40  5:00 PM 740 Evans Hall 
TBA 
TBA 
November 26th 3:40  5:00 PM 740 Evans Hall 
TBA 
TBA 
December 3rd 3:40  5:00 PM 740 Evans Hall 
TBA 
TBA 
December 10th 3:40  5:00 PM 740 Evans Hall 
TBA 
TBA 
Here is a link for those intersted in student support.
Past:Chicago Summer School in Analysis: 6/17/2017  6/30/2017 at U Chicago.
Hausdorff School: Dispersive Equations, Solitons, and Blowup: 9/4/2017  9/8/2017 at University of Bonn.
Prairie Analysis Seminar 2017: 9/8/17  9/9/17 at Kansas State University.
Subcritical Scattering for Defocusing NLS, by Jason Murphy (UC Berkeley).
Generalizations of Fourier Analysis, and How to Apply Them, by W.T. Gowers.
A Study Guide for the l^2 Decoupling Theorem, by Jean Bourgain and Ciprian Demeter.
Notes on hyperbolic dynamics, by Semyon Dyatlov.
Microlocal Analysis, 8/12/2019  12/13/2019
Past:
Recent Developments in Harmonic Analysis, 5/15/2017  5/19/2017
Introductory Workshop: Harmonic Analysis, 1/23/2017  1/27/2017
Nonlinear dispersive PDE, quantum many particle systems and the world between, 7/17/2017  7/28/2017
New challenges in PDE: Deterministic dynamics and randomness, Fall 2015
If you have more links to add to this list, please email one of the organizers.