Past Events

Otto calculus is a fundamental toolbox in mathematical optimal transport, imparting the Wasserstein space of probability measures with a Riemmanian structure. In particular, one can compute the Riemannian gradient of a functional over this space and...

A group is just a set together with a multiplication with certain properties, and these are ubiquitous in modern mathematics. In homotopy theory, we often see less-rigid objects, with many of the properties like associativity or commutativity only...

What is May 12? May 12 is a joyful opportunity for the mathematical community to celebrate women in mathematics. The celebration takes place every year, all around the world. The goal of the day is to inspire women everywhere to celebrate their...

The space of homomorphisms from the fundamental group of a compact surface to a Lie group is a remarkably rich and versatile object, playing a key role in mathematical developments spanning disciplines of algebra, analysis, geometry, and mathematical...

Highlights of the speaker's statistical research of the past 40 years will be presented. A common thread of his contributions to expert use, dependence modeling, and risk assessment is the development of methods for situations where direct...

There are several notions that are used to characterize algebraic varieties in terms of their similarity to a projective space. Two of these notions are rationality and unirationality. The problem of determining whether a variety is rational or...

Discrete quantum walks are motivated by search problems. One of the best known quantum algorithms, Grover’s search, is a discrete quantum walk on the complete graph with loops. From an algebraic perspective, a discrete quantum walk is determined by a...

For a finite set X, a family F of subsets of X is said to be increasing if any set A that contains B in F is also in F. The p-biased product measure of F increases as p increases from 0 to 1, and often exhibits a drastic change around a specific...

Residue calculus is, of course, a very powerful way to evaluate many different kinds of integrals. For multivariate integrals, however, it may get really cumbersome, to the point that one sometimes gets stuck in purely combinatorial complexity. I...

Diffusion methods help understand and denoise data sets; when there is additional structure (as is often the case), one can use (and get additional benefit from) a fiber bundle model. This talk reviews diffusion methods to identify low-dimensional...