Past Events

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...

Speaker: Vipul Periwal "Dynamics of Adipose Tissue Growth" Abstract: Adipose tissue grows by two mechanisms: hyperplasia (cell number increase) and hypertrophy (cell size increase). Genetics and diet affect the relative contributions of these two...

The stability of our Solar System has been debated since Newton devised the laws of gravitation to explain planetary motion. Newton himself doubted the long-term stability of the Solar System, and the question has remained unanswered despite...

Abstract: A Chow motive of an algebraic variety may be thought of as an attempt to define a universal cohomology theory for algebraic varieties, through the use of the Chow ring. The Chow ring in algebraic geometry is an analog of the cohomology ring...