Past Events

When trying to classify curves over a non-algebraically closed field, one quickly runs into the difficulty that there are curves which are not defined over their fields of moduli. We will explain what this means with some examples. We will discuss...

Learning with Errors (LWE) is a hard math problem with algebraic structure, underpinning many proposed Post-Quantum Cryptosystems (PQC). The only PQC key exchange standardized by NIST is based on module LWE, and current publicly available PQC...

In 1965, Birch and Swinnerton-Dyer formulated a conjecture on the Mordell-Weil rank r of elliptic curves which also implies the convergence of the Nagao-Mestre sum. We show that if the Nagao-Mestre sum converges, then the limit equals −r+1/2, and...

Remote communities around the globe rely on off-grid installations of stand-alone diesel generators to cover their energy needs, which can be costly, harmful to the environment and subject to disruptions. Policymakers seek sustainable solutions for...

The UManitoba student chapter of the Association for Women in Mathematics (AWM) will be hosting a symposium on November 16, 2023. This hybrid symposium will take place in Armes 205 at the University of Manitoba Fort Garry campus in Winnipeg, Manitoba...

In this seminar, we have seen that problems in deformation theory are often controlled by differential graded Lie algebras (dgla). For example, in Martin's talk, we saw how the deformations of an associative algebra are controlled by a dgla structure...

Dynamical systems are inevitably subject to noise perturbations, making the study of the stability issues under noise perturbations a fundamental problem. Often used to characterize the complexity of dynamical behaviours, invariant measures...

Given a convex solid in 3D space, how many light sources do we have to place around it in order to illuminate its entire surface? What is the minimum number that works? We call this number the illumination number of the solid, and perhaps a bit...

Counting the number of eigenvalues of Schrödinger operators is a crucial task in quantum mechanics. The typical heuristic from physics is that to leading order this should be given by the phase space volume. Unfortunately, this can already fail for...

I will briefly introduce the notion of formality for differential graded Lie algebras, and the role it plays in deformation theory. I will then discuss some geometric applications obtained in a joint work with Claudio Onorati.