Past Events

In this talk, we study the singularities of secant varieties of smooth projective varieties when the embedding line bundle is sufficiently positive. We give a necessary and sufficient condition for these to have p-Du Bois singularities. In addition...

Classical algorithms are defined on inputs of different sizes. In contrast, data-driven algorithms, that is, algorithms learned from some data, may only be defined on inputs of the same size as the data. What does it mean for an algorithm to be...

Let s(n) denote the sum of proper divisors of a positive integer n. In 1992, Erd\H{o}s, Granville, Pomerance, and Spiro conjectured that if  is a set of integers with asymptotic density zero then the preimage set s−1() also has asymptotic density...

Suppose a graph G has list chromatic number k. It is easy to see that if L is a (k+1)-list assignment for G, then G admits two L-colourings f and g where f(v) =/= g(v) for every vertex v in the graph. But what if we want still more disjoint L...

In 1959, Farahat and Higman showed a remarkable property about the symmetric group: the structure constants for the center of the group algebra Sn depend polynomially on n and that there exists an infinite-dimensional algebra, which we call the...

It is conjectured that there is no projective plane of order 12. Balanced splittable Hadamard matrices were introduced in 2018. In 2023, it was shown that a projective plane of order 12 is equivalent to a balanced multi-splittable Hadamard matrix of...

Evolutionary game theory is a discipline devoted to studying populations of individuals that are subject to evolutionary pressures, and whose success generally depends on the composition of the population. In biological contexts, individuals could be...

In Manak's talk, we learned what a deformation functor is. We will explore this notion more in depth and look at some examples. Deformation functors allow us to make the idea of a "formal moduli problem" more precise. Time permitting, we will discuss...

Let A and B be compact sets in ℝd. One of the fundamental problems in geometric measure theory is to study the relations between the Hausdorff dimensions of A, B, and A∩f(B), where f runs through a set of transformations. This type of question has...

Random band matrices provide a simple model for studying the metal-insulator transition of random operators, the prominent example of which is the Anderson model. According to the famous sqrt(N) conjecture, N x N random matrices with non-zero entries...