Past Events

For a finite-dimensional algebra A over an algebraically closed field k, varieties of finite-dimensional A-modules offer a geometric perspective on the homological and categorical properties of A and its modules. These varieties parametrize vector...

Minimizing energy dissipation in driven stochastic systems is a fundamental goal in nonequilibrium thermodynamics. In the linear-response (slow driving) regime, this becomes a problem of Riemannian geometry: The control space is equipped with a...

Filtering is a core task in many areas of science and engineering, including weather and climate prediction, where it is known as data assimilation. It involves estimating the conditional probability distribution of a dynamical system's states given...

The main objects of my talk are the affine Yangian and the quantum toroidal algebra of type A with two deformation parameters, as introduced in the work of Bershtein and Tsymbaliuk (2019). These algebras first appeared in Maulik and Okounkov’s 2012...

Abstract: In the classical setting of x2 and x3 acting on the circle group, the original (and unsolved) Furstenberg Conjecture is that the only continuous probability measure simultaneously invariant under both is Lebesgue measure. A stronger...

The volume spectrum is an analogue of the Laplace spectrum, defined through the area functional together with homological or cohomological relations in the space of hypercycles. In this talk, I will introduce several versions of the volume spectrum...

We construct explicit examples of abelian surfaces whose 2-torsion Galois representations are not self-dual. Such surfaces are necessarily not principally polarized. We consider abelian surfaces with a polarization of type (1,2) instead. Our main...

Lie group integrators are a class of numerical schemes for the solution of ordinary differential equations on manifolds. These methods avoid explicit representation of the solution in a coordinate chart by advancing the solution using a continuous...

Juvan, Malnič and Mohar [J. Combin. Theory Ser. B 68 (1996), 7-22] proved that for every surface S and every integer k, there exists N(S,k) such that any set of simple closed curves on the surface S, where any two are non-homotopic and intersect at...

Thursday, March 12 9:30 am: Start 9:30 am - 10:30 am: Nassif Ghoussoub (University of British Columbia) Title: Skew-linear entropies, Kantorovich operators and their ergodic theory Abstract: Kantorovich operators are non-linear extensions of Markov...