Past Events

In 2009, Büyükboduk published a result in Crelle which expressed the order of the $\chi$-part of the class-group of a number field ($\chi$ a $p$-adic character of a Galois group) in terms of $L$-functions and regulators. The proof used Kolyvagin...

Coisotropic submanifolds of symplectic manifolds are canonically foliated. Their deformation is described by an L-infinity algebra with a known geometric description. I will describe some calculations with the obstruction theory of this L-infinity...

(0,1)-matrices are, in particular, nonnegative matrices, and so the Perron-Frobenius theory of nonnegative matrices applies to them. Thus they have a nonnegative eigenvalue that is at least as large as the magnitude of all other eigenvalues...

I will talk about work with Dan Isaksen on the motivic homotopy groups of spheres, focusing on the story of the Hopf maps. In classical algebraic topology the Hopf maps generate a very small and easily computed subring of the stable homotopy ring...

We consider a gradient Gibbs measure with non convex potential and show that it behaves at high temperature like a gaussian free field. The proof is based on the fact that the marginal distribution of the even sites has a strictly convex Hamiltonian...

The study of localized waves has a long history dating back to the discoveries in the 1800s by Russell, Boussinesq and Korteweg-deVries(KdV) describing water waves in shallow water. In the 1960s researchon the KdV equation led to the concept of...

Given n points in the real plane, the unit distance problem asks for an asymptotic upper bound on the number of unit distances between pairs of the points. We consider this problem under the restriction that the line segments between the points make...

The classical method of moving frames was developed by Elie Cartan into a powerful tool for studying the geometry of submanifolds under certain geometrical transformation groups. In this talk, I will present a new foundation for moving frame theory...

In my thesis, I give a new construction of the tame local Langlands correspondence for GL(n,F), n a prime. The Local Langlands Correspondence for GL(n,F) has been proven recently by Henniart, Harris/Taylor. In the tame case, supercuspidal...

I discuss a scheme of fault-tolerant quantum computation which is driven by local projective measurements on an entangled quantum state of many qubits, a so-called cluster state. There are two fundamentally different ways of evolving quantum states...