Past Events

This is the second part of an introduction to Poisson geometry. In this part, I will discuss the geometry of Poisson manifolds, such as their symplectic leaves, through the use of illustrative examples. I will also briefly discuss the quantization of...

We obtain upper bounds for the Steklov eigenvalues of warped products Ω × h Σ , where Ω is a compact Riemannian manifold with boundary and Σ is a closed Riemannian manifold, under assumptions on the L p -norm of the warping function h . The upper...

The first half of the talk will center on modeling the interplay between human behavior and disease outbreaks, as well as discussing survey-collected human behavior data from all 50 states of the United States during the first two years of the COVID...

We investigate the Steklov eigenvalue problem in the exterior of a bounded Euclidean domain. In particular, we prove the equivalence of several formulations of this problem previously proposed in the literature. We derive geometric eigenvalue...

Hilbert's metric was first introduced by Hilbert, as the name suggests, in the 19th century in order to study metrics on subsets for which straight lines are geodesics. This is related to Hilbert's 4th problem. By the work of G. Birkhoff, these...

Low-rank methods have proven their utility as a complexity reduction technique for kinetic equations, both in the collisionless and collisional regimes (see, e.g., the recent review article https://doi.org/10.1016/j.jcp.2025.114191). Since the...

In his seminal 1973 thesis, Philippe Delsarte identified two important families of association schemes deserving of in-depth study: the P-polynomial association schemes and the Q-polynomial association schemes. P-polynomial association schemes are...

Directorate Open-house We invite you to meet with our PIMS Directors and review current and future PIMS scientific and educational funding opportunities. Time 12:00 PM Pacific/ 1:00 PM Mountain/ 3:00 PM Eastern.

The log-rank conjecture is a longstanding open problem with multiple equivalent formulations in complexity theory and mathematics. In its linear-algebraic form, it asserts that the rank and partitioning number of a Boolean matrix are quasi...

In this tutorial, we will walk through the basic of AI methodology such as Physics Informed Neural Network (PINNs), Neural Operator, etc for solving physical problems. i.e., PDE problem. We will introduce PhysicsNeMo, an SDK for training PINNs and...