Past Events

Hurwitz numbers are counts of maps between Riemann surfaces with specified ramification profiles. Alternatively, they may be seen as counting decompositions of the identity in symmetric groups into permutations of given cycle type or as certain...

In this talk, we explore the simple, yet rich, paradigm of optimal quantization (alternatively, optimal centroidal Voronoi tessellations (CVT)). The 3D Gersho's conjecture may be viewed as a crystallization conjecture and asserts the periodic...

Abstract: I will describe variational problems whose solutions imply statements about dynamical systems, as well as how relaxations of these variational problems often can be solved computationally using tools of polynomial optimization. The talk...

In this paper we present a general framework in which one can rigorously study the effect of spatio-temporal noise on traveling waves, stationary patterns and oscillations that are invariant under the action of a finite-dimensional set of continuous...

Abstract: Metasurfaces are surfaces with microscopic objects on top, which can yield unexpected physical properties like, bending of light, relocating sound peaks, flat lenses, color printing, holograms and cloaking devices. In this talk we consider...

Abstract: The tangent bundle on a smooth manifold is, in a sense, sufficient structure todevelop Lagrangian mechanics. In a famous note from 1901, Poincare reformulated Lagrangian mechanics by replacing the tangent bundle with a Lie algebra acting on...

In this talk I will present a study on the Gromov's hyperbolicity of some product of graphs. The presentation is based on joint works that studied hyperbolicity of the lexicographic product, tensor product and graph join of two graphs, respectively...

Abstract: The derivation of a Boltzmann equation from first principles has been a long-standing problem. In a seminal work, Lanford showed the validity of a classical Boltzmann equation for an ideal dilute hard-sphere gas for times up to one third of...

Abstract: Given a family G of graphs on a common vertex set X, we say that G is rainbow connected if for every vertex pair u, v ∈ X, there exists a path from u to v that uses at most one edge from each graph of G. We consider the case that G contains...

The activation of T cells, key players of the immune system, involves local evacuation of molecules (phosphatases) from the nearby region of the cell surface, segregating them from the T cell receptor. What drives this evacuation? This phenomenon...