Past Events

L-functions appear as generating functions encapsulating information about various objects such as Galois representations, elliptic curves, arithmetic functions, modular forms, Maass forms, etc. Studying L-functions is therefore of utmost importance...

The classic Lotka-Volterra model for species competition has traditionally been associated with ecological settings where living species compete for limited resources. Here I will discuss two recent examples from work in my group where similar ideas...

In this talk, we focus on the problem of reconstructing a multivariate function from discrete d-dimensional samples. Beyond achieving accurate function recovery, we aim to enhance interpretability by identifying how individual variables and their...

Equiangular lines are collections of lines in Euclidean space, all passing through the origin and forming the same angle with one another. Given a fixed angle, a fundamental question is: what is the maximum number of such lines? I will present a...

In 1671, Bachet conjectured that every natural number can be written as sum of four squares. A century of efforts and ideas was needed for Lagrange to reach a proof, and almost another century for Jacobi to quantify precisely this result. Today...

The infinite dimensional Galilean conformal algebra is an infinite dimensional extension of the finite dimensional Galilean conformal algebra in ( d + 1 ) -dimensional space-time, which was introduced by Bagchi and Gopakumar in order to construct a...

Quantum Hamiltonian reduction is an algebraic procedure that produces new vertex algebras from known ones, with the best understood examples being the W-algebras that arise from affine vertex algebras. Recent work has focused on morally inverting...

Abstract: After reviewing some basic concepts and examples in topological dynamics, we will focus on the conjugacy problem for shifts of finite type, which has been open for more than fifty years.

It is well-known that for any finite group G, there exists a closed 3-manifold M with G as a quotient of the fundamental group of M. However, we can ask more detailed questions about the possible finite quotients of 3-manifold groups, e.g. for G and...

The game of Cops and Robbers is a two-player pursuit–evasion game played on a graph, in which a set of cops attempts to capture a single robber. In the original version, players occupy vertices and take turns moving along edges. We describe a variant...