Past Events

The celebrated Erdõs similarity problem asks if it is always possible to construct a set of positive Lebesgue measure that does not contain any (nontrivial) affine copy of a given infinite set. The problem remains widely open. In this talk, I will...

Given an arbitrary probability measure $\mu$ on $PSU(1,1)$, understanding the structure of $\mu$-stationary measures is a notoriously difficult problem, in particular, due to the number of different settings one can work in. The answer is known to...

Fix $N\geq 1$ and let $L_1, L_2, \ldots, L_N$ be Dirichlet L-functions with distinct, primitive and even Dirichlet characters. We assume that these functions satisfy the same functional equation. Let $F(s)∶= c_1L_1(s)+c_2L_2(s)+\ldots+c_NL_N(s)$ be a...

International Women’s Day takes place annually to recognize and celebrate cis and trans women’s achievements, challenge biases, and reflect on and advance efforts towards greater gender equality. The theme of this year’s IWD is Invest in Women...

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 Banff International Research Station will host the "Alberta Number Theory Days XV" workshop in Banff from March 22 to 24, 2024. Number theory is a central and broad area of research with an immense amount of applications to other areas of...

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...