Past Events

Abstract: We begin with the statement of the Hodge conjecture. Next, we give a precise definition of an arithmetic conjecture. In complex algebraic geometry, either a conjecture arises from analysis, or is arithmetical. Recent work of Voisin shows...

We prove matching upper and lower bounds on the space complexity of simulating a large shared register using smaller shared registers. We focus on the case where both the simulated and base registers are single-writer, which means they can be...

Abstract: The cotangent cohomology modules $T_S^i$ for a commutative algebra $S$ over a field $k$ provide important homological and deformation-theoretic information about $S$, but are often challenging to describe explicitly. In this talk, I will...

Local components of important classes of automorphic representations associated to a number field can be organised into sets of representations of p-adic groups - these sets are called local Arthur packets. Computation of Arthur packets is an...

I will begin with a brief description of how computational sampling methods have been critical in developing methods to detect political maps which are gerrymandered. I will discuss some of the court cases and political implications in US elections...

Let $G$ be a finite subgroup of $SL_2(\mathbb{C})$ and consider its natural action on $X=\mathbb{C}^2$. The quotient $X/G$ has an isolated singularity, and the McKay correspondence is a series of beautiful connections between the representation...

The forum will explore a range of academic career paths, including research-stream positions at research-intensive universities, educational leadership positions, and positions at teaching-focused universities and colleges. The speakers will bring...

Abstract: Although there is an explicit isomorphism that relates the Hilbert scheme of points on an abelian surface to compactified Jacobians of curves in a linear system on the dual abelian surface, computing its action directly is challenging...