Past Events

In this talk, I will discuss: (1) the new BGG-type resolutions of finite dimensional representations of simple Lie algebras that lead to BGG-relations expressing finite-dimensional transfer matrices via infinite-dimensional ones, (2) the...

Unrolled quantum groups are a family of quantum algebras closely related to the non-restricted specialization of Drinfeld-Jimbo algebras at roots of unity. These quantum groups have played a pivotal role in the study of the Kazhdan-Lusztig...

The semi-random graph process can be thought of as a one player game. Starting with an empty graph on n vertices, in each round a random vertex u is presented to the player, who chooses a vertex v and adds the edge uv to the graph (hence 'semi-random...

Despite being the most efficient set of computational techniques available to the theoretical physicist, quantum field theory (QFT) does not describe all the observed features of the quantum interactions of our universe. At the same time, its...

Tangent categories are a categorical generalization of the category of manifolds by having maps like the projection and the zero-section of the tangent bundle that fulfill certain relations. With a similar strategy, Cartesian differential categories...

Given any finite-dimensional simple Lie algebra a over \(\mathbb{C}\), the Yangian \(Y(a)\) is a certain unital associative \(\mathbb{C}\)-algebra. In particular, Yangians form a family of so-called quantum groups. The main property these algebras is...

It is known that the category of affine Lagrangian relations over a field F, of integers modulo a prime p (with p > 2) is isomorphic to the category of stabilizer quantum circuits for p-dits. Furthermore, it is known that electrical circuits...

The study of multivariate extremes is dominated by multivariate regular variation, although it is well known that this approach does not provide adequate distinction between random vectors whose components are not always simultaneously large. Various...

Abstract: TBC Read more about our PIMS PDS on our Medium feature here. This event is part of the Emergent Research: The PIMS Postdoctoral Fellow Colloquium Series.

Paley graphs connect many branches of mathematics, notably combinatorics and number theory. Inspired by the Erdős-Ko-Rado (EKR) theorem for Paley graphs of square order (first proved by Blokhuis) and recent development of the study of EKR-type...