Past Events

In this lecture we address the problem of the optimal placement of sensors and actuators for wave propagation problems. Using Fourier series representation the problem can be recast as a spectral optimal design problem, involving all the spectrum of...

Parhoric group schemes, following Landvogt

N.B. This event has been cancelled as the speaker will be unable to attend. The arrival of massive amounts of data from imaging, sensors, computation and the internet brought with it significant challenges for information science. New methods for...

Robust optimization is a paradigm for dealing with optimization problems whose input is uncertain. For instance, consider building a system (bridge, network, etc.) whose future demand (or stress) is unknown but bounded. Say we know that the set of...

I will survey the general phenomenon of "integrable" probabilistic models, in which the presence of explicit formulas describing their distributions allow for an analysis by essentially algebraic methods.Then I will discuss in detail an integrable...

Let X be a connected smooth projective variety over Q. If X has a Q point, then X must have local points, i.e. points over the reals and over the p-adic completions Q_p. However, local solubility is often not sufficient. Manin showed that quadratic...

The origins of "arithmetic invariant theory" come from the work of Gauss, who used integer binary quadratic forms to study ideal class groups of quadratic fields. The underlying philosophy---parametrizing arithmetic and geometric objects by orbits of...