Past Events

For every finite group H and every finite H-module A, we determine the subgroup of negligible classes in H^2(H,A), in the sense of Serre, over fields with enough roots of unity. As a consequence, we show that for every odd prime p and every field F...

The field of DNA Topology includes the study of DNA geometry (supercoiling) and topology (knots and links) and their effects on DNA in vitro and in vivo. Statistical mechanics-based polygonal models of DNA have proved useful for addressing many...

The spectral properties of matrices with prescribed patterns have received significant attention in recent research. This talk examines symmetric matrices that share the off-diagonal zero-nonzero pattern with the adjacency matrix of a given graph...

There are numerous contexts where a discrete system moves according to local, reversible moves. The configuration space, which contains all possible states of the system, is often a CAT(0) cube complex. When this is the case, we can use techniques...

Introduced by Tate in 1957, a Koszul-Tate resolution allows one to replace any algebra with a free differential graded algebra. This can be used to compute important invariants of the original algebra such as BRST cohomology or cotangent cohomology...

The Polya group P o ( K ) of a Galois number field K coincides with the subgroup of the ideal class group C l ( K ) of K consisting of all strongly ambiguous ideal classes. We prove that there are only finitely many imaginary abelian number fields K...

In how many ways can an m x n chessboard be tiled using 2 x 1 tiles? The solution is given by the number of perfect matchings in a related graph. Although computationally difficult in general, in this circumstance we are able to efficiently count...

An unweighted graph is conformally rigid if allowing nonnegative edge weights will not increase the second eigenvalue, or decrease the largest eigenvalue, of its Laplacian matrix. There are natural motivations for finding weights on a graph that...

In this talk, we will introduce the Weak and the Strong Lefschetz Properties (WLP and SLP) focusing on Artinian complete intersections. A famous result of Stanley shows that every Artinian monomial complete intersection over a field of characteristic...

I will discuss a problem that appeared on MathOverflow and its solution by the user “Fedja”. The result we will demonstrate is that if T is subset of the reals with Hausdorff dimension exceeding ½, then there is a positive probability that a standard...