Past Events

Abstract: Given a fixed graph H and a (large) integer n, what are the n-vertex graphs with the maximum number of induced copies of H? In this talk, we discuss this question for random Cayley graphs of an abelian group. More generally, we also discuss the case where H is a graph obtained from a…

Professor Kassel is from Institut des Hautes Etudes Scientifiques.

You can learn more at Professor Fanny Kassel at http://www.ihes.fr/~/kassel/

Neurodegenerative diseases such as alzheimer’s and parkinson’s are devastating dementia conditions with poorly understood mechanisms and no known cures. Yet, they exhibit a characteristic invasion pattern through the brain associated with cognitive deficits and pathologies. How can we use…

Neurodegenerative…

I will explain a notion of arithmetic equidistribution that has recently found application in the study of complex dynamical systems.  It was first introduced about 25 years ago, by Szpiro-Ullmo-Zhang, to analyze the geometry and arithmetic of abelian varieties.  In 2011, Matt Baker…

The classical Liouville theorem says that if a harmonic function on the plane is bounded then it is a constant. At the same time for any angle on the plane, there exist non-constant harmonic functions that are bounded everywhere outside the angle.
The situation is different for discrete…

We will discuss geometrical and analytic properties of zero sets of harmonic functions and eigenfunctions of the Laplace operator. For harmonic functions on the plane there is an interesting relation between local length of the zero set and the growth of harmonic functions. The larger the zero…

Abstract: I will discuss results relating different partially wrapped Fukaya categories.  These include a K\"unneth formula, a `stop removal' result  relating partially wrapped Fukaya categories relative to different stops, and a gluing formula for wrapped Fukaya…

Percolation models describe the inside of a porous material. The theory emerged timidly in the middle of the twentieth century before becoming one of the major objects of interest in probability and mathematical physics. In this talk, we prove that Bernoulli percolation on graphs with…

Abstract: The partially wrapped Fukaya category is a very interesting invariant of non-compact symplectic manifolds.  I will show how to identify the partially wrapped Fukaya category of a cotangent bundle with a certain category of sheaves.  A considerable…