Past Events

Bregman proximal-type algorithms, such as mirror descent, are popular in optimization and data science for effectively exploiting problem structures and optimizing them under tailored geometries. However, most of existing convergence results rely on...

Grothendieck's duality theory relies on the notion of a dualizing complex. In the non-commutative setting such dualizing complexes were studied in the 90s beginning with work by Yekutieli. Since these complexes are not unique (for example, one can...

The quadratically regularized optimal transport problem (QOT) has emerged in the literature as a sparse alternative to entropic regularization (EOT). Unlike EOT, whose solutions always have full support—even for small regularization parameters—QOT...

A classical question in extremal (hyper)graph theory asks for tight minimum degree conditions which force the existence of certain spanning structures in large graphs, generalising Dirac's theorem from 1952. One aspect of this concerns tiling graphs...

An (m, n)-mixed graph consists of a set of vertices, any two of which may be joined by either an edge of one of m colours or an arc of one of n colours, or not be joined at all. The operation of switching at a vertex v of an (m, n)-mixed graph with...

The q , t -Catalan numbers can be described elegantly in terms of pairs of statistics on Dyck paths: area and bounce, or area and dinv. Using bijective and recursive methods, we prove new expressions of the q , t -Catalan numbers in terms of pairs of...

We discuss the Bunkbed Conjecture, a long-standing conjecture about connection probabilities in percolation. We describe a recent counterexample to this conjecture, a graph on 7772 vertices, and describe its structure.

Join us for a unique opportunity to meet and learn from Dr. James Glazier, a pioneer in computational biology and a renowned cell and tissue modelling expert. Dr. Glazier’s visit will feature a full day of activities, including a showcase of our...

Matroids are combinatorial objects that abstract the notion of independence. Given any matroid, Feichtner and Yuzvinsky defined a graded commutative ring called the Chow ring, inspired by algebraic geometry. To each matroid, we can define a linear...

We establish the fourth moments of the real and imaginary parts of the Riemann zeta-function, as well as the fourth power mean value of Hardy's Z-function at the Gram points. We also study two weak versions of Gram's law. We show that those weak Gram...