Past Events
Abstract: We describe the construction of gradings in Legendrian Contact homology, beginning with an overview of Maslov & Conley-Zehnder indices and continuing with a discussion of their roles in determining gradings for contact homologies.
Abstract: This talk will describe a global stability result for a nonlinear anisotropic system of wave equations. This is motivated by studying phenomena involving characteristics with multiple sheets as encountered in, for example, the study of light in a biaxial crystal. For the proof, we…
384I
In a seminal work, Perthame and Lions applied the velocity averaging method to solutions of the Kinetic-transport equation to prove that the total energy within any bounded set of the spatial variable is integrable over time thereby establishing an analogy to the Morawetz estimate for the…
Hyperbolic Dehn filling theorem proven by Thurston is a fundamental theorem of hyperbolic 3-manifold theory, but it is not true anymore in dimension > 3. Since hyperbolic geometry is a sub-geometry of convex real projective geometry, it is natural to ask whether Thurston’s Dehn filling…
In the Gilbert–Shannon–Reeds shuffle, a deck of N cards is cut into two approximately equal parts which are riffled together uniformly at random. This Markov chain famously undergoes total variation cutoff after (3/2)*log_2(N) shuffles. We prove cutoff for asymmetric riffle shuffles in…
Investigating the p-adic integration map constructed by J.-M. Fontaine during the 90's, which is the main tool for proving the Hodge--Tate decomposition of the Tate module of an abelian variety over a p-adic field, we realized that the group of p-adic points of the above-named abelian variety,…
This talk will concern polyhedra and polygons.
1. It's well known that there are exactly 5 platonic solids, but why are there only five? We'll observe that this follows from a remarkably short topological proof. Next we'll study "convex deltahedra", which is another collection of…
I will attempt to motivate the consideration of Legendrian Contact Homology. Various examples of Legendrians will be offered. The basic regularity, compactness and gluing theorems will be explained.