Past Events

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...

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.

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...

In real Lie theory, matrices that admit a real logarithm lie in the identity component $\mathrm{GL}_n(\mathbb{R})_+$ of the general linear group $\mathrm{GL}_n(\mathbb{R})$, while their logarithms belong to the Lie algebra $\mathfrak{gl}_n(\mathbb{R}...

Geophysical inversion is a well-established method for conducting non-invasive surveys of underground anomalies, such as buried infrastructure. Typically, inversion is performed using numerical methods: gradient descent and physics-based simulations...

In the first part of the talk (introduction) I will recall classical and semi-classical results and conjectures. In the second part I will review the current status of PDE gluing constructions of minimal surfaces. In the last (main) part of the talk...

The special Lagrangian equation (SLE) is a fully nonlinear elliptic PDE that originates in the work of Harvey and Lawson on calibrated geometries. The question whether a viscosity solution to the SLE is smooth (or at least has minimal gradient graph)...