TBA
- Series
- School of Mathematics Colloquium
- Time
- Thursday, April 17, 2025 - 11:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Paul Bourgade – NYU
- You are here:
- Home
- News & Events
TBA
- Series
- School of Mathematics Colloquium
- Time
- Thursday, March 13, 2025 - 11:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Semyon Alesker – Tel Aviv University
TBA
- Series
- School of Mathematics Colloquium
- Time
- Thursday, March 6, 2025 - 11:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Dmitri Chklovskii – NYU and the Flatiron Institute
TBA
- Series
- School of Mathematics Colloquium
- Time
- Thursday, February 27, 2025 - 11:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Kate Stange – University of Colorado Boulder – kstange@math.colorado.edu
TBA
- Series
- School of Mathematics Colloquium
- Time
- Thursday, January 30, 2025 - 11:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Yannis Kevrekidis – Johns Hopkins University – yannisk@jhu.edu
TBA
Stationary measures for random walks on surfaces
- Series
- School of Mathematics Colloquium
- Time
- Thursday, January 16, 2025 - 11:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 005 and https://gatech.zoom.us/j/94869649462?pwd=pPFAzFU4VaW99KqRG2BXGUlMBcnlbD.1
- Speaker
- Aaron Brown – Northwestern University – awb@northwestern.edu
Please Note: Meeting ID: 948 6964 9462 Passcode: 647751
Dynamical systems exhibiting some degree of hyperbolicity often admit “fractal" invariant objects. However, extra symmetries or “randomness” in the system often preclude the existence of such fractal objects.
I will give some concrete examples of the above and then discuss problems and results related to random dynamics and group actions on surfaces. I will especially focus on questions related to absolute continuity of stationary measures.
CANCELLED - TBA by Dmitri Chklovskii
- Series
- School of Mathematics Colloquium
- Time
- Thursday, December 5, 2024 - 11:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Dmitri Chklovskii – NYU and the Flatiron Institute
Wronski map and totally non-negative Grassmannians
- Series
- School of Mathematics Colloquium
- Time
- Thursday, November 21, 2024 - 11:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Evgeny Mukhin – Indiana University Indianapolis
The totally non-negative Grassmannian is the set of points in a real Grassmannian such that all Plucker coordinates have the same sign (some can be zero). I will show how points in totally non-negative Grassmannians arise from the spaces of polynomials in one variable whose Wronskian has only real roots. Then I will discuss a similar result for the spaces of quasi-exponentials.
The main statements of this talk should be understandable to an undergraduate student. Somewhat surprisingly, the proofs use the theory of quantum integrable systems related to $GL(n)$. I will try to explain the logic of such proofs in a gentle way.
This talk is based on a joint work with S. Karp and V. Tarasov.
Integer distance sets
- Series
- School of Mathematics Colloquium
- Time
- Thursday, November 7, 2024 - 11:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Rachel Greenfeld – Northwestern University
A set in the Euclidean plane is called an integer distance set if the distance between any pair of its points is an integer. All so-far-known integer distance sets have all but up to four of their points on a single line or circle; and it had long been suspected, going back to Erdős, that any integer distance set must be of this special form. In a recent work, joint with Marina Iliopoulou and Sarah Peluse, we developed a new approach to the problem, which enabled us to make the first progress towards confirming this suspicion. In the talk, I will discuss the study of integer distance sets, its connections with other problems, and our new developments.
The arithmetic structure of the spectrum of a metric graph
- Series
- School of Mathematics Colloquium
- Time
- Friday, October 25, 2024 - 11:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 005/006
- Speaker
- Peter Sarnak – Princeton University – sarnak@math.princeton.edu
Endowing a finite combinatorial graph with lengths on its edges defines singular 1-dimensional Riemannian manifolds known as metric graphs. The spectra of their Laplacians have been widely studied. We show that these spectra have a structured linear part described in terms of arithmetic progressions and a nonlinear "random" part which is highly linearly and even algebraically independent over the rationals. These spectra give rise to exotic crystalline measures ("Generalised Poisson Summation Formulae") and resolve various open problems concerning the latter. This is a joint work with Pavel Kurasov.