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
Category: Talks
10th February – Giacomo: Characterising the Tangent Space
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
3rd February – Yoon: The Heun Equation and the Poincare-Perron Theorem
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
27th January – Neil: Determinants, the Plücker relation and functional identities
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
20th January – Jocelyne: Universal Property of Spectra
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
16th December – Alex: Quantum algebras and polynomial identity (PI) degrees
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
09 December – Laurence: Objective Bayesian Analysis for Change Point Problems
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
02 December, Christopher Lee – “Symmetries and Invariant Theory”
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
25 November, Ana: “Discrete moving frames, lifting integrability and evolution of curvature invariants”
Discrete moving frames have been proven useful for the study of discrete integrable systems, which arise as the analogues of curvature flows for polygon evolutions … Read more
18 November Alan: “Bayesian survival analysis”
In this presentation I will cover some basic results regarding the links between product integration and survival analysis; and use them to motivate constructions of … Read more