Past Events

Fano varieties are projective algebraic variety with “positive curvature”. Recently, using the notion of K-stability which originates in differential geometry, projective moduli spaces for Fano varieties have been constructed. In this talk I will...

Recent decades have seen a lot of progress in the "orbital circle method" attacking classical problems from dynamics, geometry, and number theory under the umbrella of "thin groups". There was always a danger that the circle method was too crude a...

Shared rides, which pool individual riders into a single vehicle, are essential for mitigating congestion and promoting more sustainable urban transportation. However, major ridesharing platforms have long struggled to maintain a healthy and...

For every positive integer n, the quotient ring Z/nZ is the natural ring whose additive group is cyclic. The "multiplicative group modulo n" is the group of invertible elements of this ring, with the multiplication operation. As it turns out, many...

A broad class of problems in extremal geometry can be characterized as follows. Fix a positive integer k and a property of k-tuples of points in R^2. The problem is then to determine how many k-tuples in an n-point set in R^2 can have the chosen...

We will describe a discretization of Chern-Simons theory using Whitney forms. Derived moduli spaces are often described using L-infinity algebras and it is interesting to explore how a derived moduli space varies as we modify the 'governing L...

Mathematical biomedicine is an area of research where questions that arise in medicine are addressed by mathematical methods. Each such question needs first to be represented by a network with nodes that includes the biological entities that will be...

The Eilenberg-Zilber (EZ) theorem is a powerful tool in homological algebra and algebraic topology, being a key ingredient in the Kunneth theorem. It also serves as the basis for defining the cup product, which in turn establishes cohomology as a...

Totally unimodular constraint matrices have been used for decades to model many problems in combinatorial optimization; these matrices are particularly useful as then integer programs can be solved as linear ones. Recent results, in particular one...

Graphical and Digraphical Regular Representations (GRRs and DRRs) are a concrete way to visualise the regular action of a group, using graphs. More precisely, a GRR or DRR on the group G is a (di)graph whose automorphism group is isomorphic to the...