Past Events
I will talk about two sampling methods: a splitting Monte Carlo and the Stein Variational Gradient Descent. The former can be viewed as a special case of the Metropolis MCMC method while the latter is a nonparametric variational inference method. We then apply the random batch ideas to reduce…
In this talk, we will discuss the tenants of music theory and how it boils down to solving the wave equation on a string of finite length. Delving into different intonations, we will show how western music is built on a very particular division of an octave, i.e. the range of frequencies [f, 2f…
The Betti numbers of the Hilbert scheme of points on a smooth, irreducible projective surface have been computed by Gottsche. These numbers stabilize as the number of points tends to infinity. In contrast, the Betti numbers of moduli spaces of semistable sheaves on a surface are not known in…
What is the effect of excluding an induced subgraph on the global structure of a graph? While there do not seem to be general structural consequences, a conjecture of Erdős and Hajnal says that graphs with forbidden induced subgraphs behave very differently from general graphs; more…
Let C be a class of graphs. We say that C has a "polynomial separator property" if there there exists a constant d such that for every G in C, the number of minimal separators in G is at most |V(G)|^d. It is known that the maximum weight independent set problem can be solved in polynomial…
A Fano problem is an enumerative problem of counting r-dimensional linear subspaces on a complete intersection in P^n over a field of arbitrary characteristic, whenever the corresponding Fano scheme is finite. A classical example is enumerating lines on a cubic surface. We study the monodromy of…