Past Events

Gauge-theoretic moduli spaces are often noncompact, and various techniques have been introduced to study their asymptotic features. Seminal work by Taubes shows that in many situations where the failure of compactness for sequences of solutions is...

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: The Jones polynomial of a knot, discovered in 1983, is a very subtle invariant that is related to a great deal of mathematics and physics. This talk will be an overview of quantum field theories in dimensions 2, 3, 4 and 5 that are...

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...

Mirror symmetry is a duality between symplectic geometry and complex geometry. The homological mirror symmetry (HMS) conjecture was formulated by Kontsevich in 1994 to fully capture this phenomenon for compact Calabi-Yau manifolds. Since then, it has...

Abstract: The generalized Lotka-Volterra (gLV) equations describe the population dynamics of a set of interacting species, and are a classic model in theoretical ecology. As the number of species in these systems grow in number, their dynamics become...

The tumor invasion paradox relates to the artifact that a cancer that is exposed to increased cell death (for example through radiation), might spread and grow faster than before. The presence of cancer stem cells can convincingly explain this effect...