Past Events

Let a, a_0, a_1, ..., a_m be integers with a nonnegative, and define f_a(x) = sum_{j=0}^m a_j x^j / (j+a)!. Schur (in 1929) proved that f_0(x) with |a_0| = |a_n| = 1 is irreducible for all m. Schur's result has been generalized by many authors by...

I will give an expository talk about half integer weight modular forms. Definitions and basic properties of this space will be given. Then, the Shimura correspondence will be discussed. Roughly speaking, this associates to a modular form of half...

We consider the one-dimensional discrete Schrödinger operator (Hf)(x)=f(x-1)+f(x+1)+v(x)f(x), on the interval {1,2,...,N} with Dirichlet boundary conditions f(0)=f(N+1)=0. We assume that v(x) are independent random variables for a very small fraction...

Hamiltonian and Lagrangian formalisms in Field Theories are equivalent when the Lagrangian is regular. Nevertheless, there are many interesting instances where the regularity is not guaranteed. This is the case of those variational problems on...

The success of the application of discontinuous Galerkin methods to nonlinear hyperbolic problems in the 1990s fueled the recent exploration of new and old DG methods for elliptic problems. Although the DG methods are clearly ideal for adaptive...

The success of the application of discontinuous Galerkin methods to nonlinear hyperbolic problems in the 1990s fueled the recent exploration of new and old DG methods for elliptic problems. Although the DG methods are clearly ideal for adaptive...

We prove a conjecture of Kottwitz and Rapoport formulated in terms of root systems and use it to imply the vanishing of higher cohomology groups for certain line bundles on toric varieties associated with root systems. During the proof, we will also...