Scientific General Events
A topological approach to orderable groups
The Hirzeburch Compactification of Hibert Modular Surfaces
Small BGK waves and Landau damping
Ron Graham, University of California, San Diego
Title: The Combinatorics of Solving Linear Equations
One of the fundamental topics in combinatorics involves deciding whether some given linear equation has solutions with all its variables lying in some restricted set, and if so, estimating how many such solutions there are. In this talk, we will describe some of the old and new results in this area, as well as discuss a number of unsolved problems.
Chris Godsil, University of Waterloo
Title: Continuous Quantum Walks on Graphs
If A is the adjacency matrix of a graph X, then the matrix exponential U(t)=exp(itA) determines what physicists term a continuous quantum walk. They ask questions such as: for which graphs are the vertices a and b and a t such that |U(t)a,b|=1? The basic problem is to relate the physical properties of the system with properties of the underlying graphs, and to study this we make use of results from the theory of graph spectra, number theory, ergodic theory…. My talk will present some of the progress on this topic.
Dan Drake, University of Puget Sound
Why does clustered network connectivity give rise to bistable neuronal dynamics in simulations of large networks of cortical neurons, driven by Poisson spike trains?