Past Events

Juvan, Malnič and Mohar [J. Combin. Theory Ser. B 68 (1996), 7-22] proved that for every surface S and every integer k, there exists N(S,k) such that any set of simple closed curves on the surface S, where any two are non-homotopic and intersect at...

The basement membrane (BM) is a nanoporous extracellular matrix that surrounds most tissues and blocks the passage of cells, primarily composed of covalently cross-linked collagen IV fibres and laminins. While BM breaching has traditionally been...

Enumerating vector bundles of a fixed rank over a given manifold is a classical question in topology. While vector bundles are stably computable via K-theory, in the unstable range they become much harder to detect. In this talk, we will demonstrate...

I will talk about several results on Hecke algebras attached to Bernstein blocks of arbitrary reductive p-adic groups, and their applications to the local Langlands program. One such application is an explicit understanding of the (classical)...

Foraging behavior is highly flexible, with individuals adjusting feeding strategies in response to food availability, predation risk, and physiological state. This study develops mechanistic frameworks to explore how such behavioral flexibility...

The prime number theorem proven independently by de la Vallée Poussin and Hadamard (1896) is an asymptotic statement about prime counting functions. It holds for sufficiently large numbers x. In 1941 Rosser authored an article giving explicit...

Building on last week's talk, I discuss Locally Cartesian Closed Categories (LCCCs) , in which every slice category is Cartesian Closed. I describe how these categories serve model quantifiers in logic, as well as modelling type dependencies in a way...

The Inverse Eigenvalue Problem for Graphs (IEP-G) concerns determining all possible spectra of matrices in S(G), the set of real symmetric matrices described by a graph. Specific subproblems involve studying the maximum nullity or minimum rank, the...

Let $A$ be an abelian surface. We investigate curves in a linear system on the dual abelian surface $\hat{A}$. There is an isomorphism of moduli spaces due to Yoshioka between the space $K_3(A)$ parametrizing 0-dimensional length-4 subschemes on $A$...

Stable matching mechanisms are ubiquitous in theory and in practice, with centralized mechanisms used to match students to schools or medical residents to hospitals. It is known that imbalance in the number of agents on either side of a random...