# Upcoming Events

Abstract: Quantum ergodicity (QE) is a notion of eigenvector delocalization, that large Laplacian eigenvector entries are “well spread” throughout a manifold or graph. Such a property is true of chaotic manifolds and graphs, such as random regular graphs and Riemannian manifolds with ergodic…

Satellite operations are a valuable method of constructing complicated knots from simpler ones, and much work has gone into understanding how knot invariants change under these operations. We describe a new way of computing the (UV=0 quotient of the) knot Floer complex using an immersed Heegaard…

We discuss on a new systolic inequality for 3-manifolds with positive scalar curvature. It was proved by Bray, Brendle and Neves that if a closed 3-manifold has scalar curvature at least 1 and has nonzero second homotopy group, then its spherical 2-systole is bounded from above by 8π. Moreover,…

In a vertex expanding graph, every small subset of vertices neighbors many different vertices. Random graphs are near-optimal vertex expanders; however, it has proven difficult to create families of deterministic near-optimal vertex expanders, as the connection between vertex and spectral…

...in this field, almost everything is already discovered, and all that remains is to fill a few unimportant holes." Philipp von Jolly in his recommendation to Max Planck not to go into physics.

Since 2015 I am taking part in a long project (more precisely, a series of projects) with Dan…

Abstract: One motivation for the theory of 3-manifold foliations is to generalize some constructions in 2 dimensions which greatly simplify the topology of surfaces. In this talk we will discuss this 2-dimensional theory. We will introduce laminations of surfaces and see how they can be used to…

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The Breuil-Mezard Conjecture predicts the existence of hypothetical "Breuil-Mezard cycles" in the moduli space of mod p Galois representations of Gal_{Q_p} that should govern congruences between mod p automorphic forms. I will talk about joint work with Bao Le Hung on a new approach to the…

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