All Talks

Pseudoholomorphic curves (pioneered by Gromov in ’85) have become a staple of the study of low dimensional TQFT’s over the past decades. Before one encounters … Read more

A natural collection of homogeneous symplectic manifolds is given by the orbits of the coadjoint action of a Lie group on the dual of its … Read more

Special types of cluster algebra arise from quiver mutation. In general these have infinitely many generators. Fomin and Zelevinsky provided a criterion for the finite … Read more

The tangent space to a smooth manifold is an important object in differential geometry. Depending on context, different ways of viewing this object can be … Read more

Heun functions generalize well-known special functions such as Spheroidal Wave, Lame, Mathieu, and hypergeometric-type functions. Heun functions are applicable to diverse areas such as theory … Read more

The Plücker relation is a curious identity satisfied by determinants. I’ll state and prove it, and give a couple of examples of how it arises … Read more

Stefan Schwede and Brooke Shipley, in their article “A uniqueness theorem for stable homotopy theory” announced the Uniqueness Theorem, which have multiple applications, mainly it … Read more

Quantum algebras arose in the 1980’s as deformations of the algebra of functions over certain groups and were motivated by problems in mathematical physics. Under … Read more

Change point problems appear in various contexts, for instance, in hydrology, finance and ecology. Objective Bayes aims to construct prior distributions in conditions where the … Read more

About a century ago, a link between symmetries and conservation laws was found thanks to Noether. The motivation to study these symmetries created invariant theory … Read more