Past Events

In this talk, I will report on joint work in progress (with Robin Cockett and Ben MacAdam) on how the additive bundle construction (almost) equips the category Lex of lex categories with a tangent category structure. Let Lex be the category of (small...

The adjugate matrix of a graph G on n vertices, denoted by adj G, is the adjugate of xI - A, where A is the 0-1 adjacency matrix of the graph. The entries of this matrix are polynomials in the variable x, of varying degrees. We shall first outline...

A set of positive integers is called a Diophantine tuple if the product of any two distinct elements in the set is one less than a square. There is a long history and extensive literature on the study of Diophantine tuples and their generalizations...

Let $F$ be the field of $p$-adic numbers (or, more generally, a non- archimedean local field) and let $G$ be $\mathrm{GL}_n(F)$ (or, more generally, the group of $F$-points of a split connected reductive group). In the framework of the local...

Given a mildly singular complex varieties admitting certain special singular hermitian metrics, e.g., Calabi-Yau metrics, it is a natural problem to study the existence of similar metrics on resolutions of such spaces which should degenerate back to...

I will explain how the Geometric Lemma allows us to classify parabolically induced representations of the p-adic group $G_2$ distinguished by $SO_4$. In particular, I will describe a new approach, in progress, where we use the structure of the p-adic...

At a time when many are wrangling with biological ‘big data’, there remain important problems that are fundamentally data limited – often physiological questions for which there is little quantitative data, and further data collection may be hampered...

I will review some of the basic machinery used in formulating characteristic classes for coherent sheaves on complex manifolds. The main ideas go back to the fundamental work of Toledo and Tong in the 70s. A natural extension of their ideas leads to...

In this talk, I will describe how certain non-linear exponential tilts of the Discrete Gaussian Free Field yield invariant measures for a discretized PDE, the focusing Non Linear Schr\”odinger equation. I will briefly talk about how this tilted...

Intraguild predation (IGP) consists of two (or more) consumers of the same shared resource exhibiting a predator-prey relation among themselves, and is a very present phenomena in terrestrial, freshwater and marine ecological systems. Theoretical...