ERC advanced grant 2026-2031

The project ViaFiPos has been funded by a €2.5M ERC advanced grant. It will run 2026-2031. The title and abstract of the project: Representation theory, equivariant topology and Langlands duality via fixed point schemes (ViaFiPoS) We propose a three-way dictionary between representation theory of complex semisimple Lie groups, equivariant topology of affine Schubert varieties and Read More …

“What is Life?” annual lecture

The public talk “Anatomy of big algebras” was delivered as the 2024 “What is Life?” annual lecture — formerly Schrödinger lecture — in the historic physics lecture theater at Trinity College Dublin organized jointly by the School of Mathematics and the Austrian embassy in Dublin. Abstract: Starting with Schrödinger’s critique of the difficulty of visualising Read More …

Two PhD students graduate

Anna Sisák defended her thesis: “T-dual branes on hyperkähler manifolds“, while Kamil Rychlewicz defended his: “Equivariant cohomology and ring of functions“. Congratulations to both!

Paper on big algebras appeared

Hausel T. 2024. Commutative avatars of representations of semisimple Lie groups. Proceedings of the National Academy of Sciences of the USA (PNAS). DOI: 10.1073/pnas.2319341121, arXiv:2311.02711 Press release PNAS showcase Staff pick at Wolfram community big and medium skeletons over baryon octet — connecting particles under up-down quark symmetry, like the neutron and proton

Jakub Löwit awarded ÖAW DOC-fellowship

With a project titled “Arithmetic, Geometry, Topology and Representation Theory Arising from the Affine Grassmannian” Jakub received a 2 year PhD DOC-fellowship starting September 2024. This follows Kamil Rychlewicz’s successful 2022 application with title “Topology of open smooth varieties with a torus action” and Anna Sisák’s successful 2021 application with title “Branes on hyperkähler manifolds“. Congrats Read More …

Videos and slides from minicourse at Simons Institute in Geometry and Physics

Conference: 2nd Summer Math Summer Workshop: Moduli, Simons Institute, Stony Brook, July 2024 Minicourse: Mirror symmetry and big algebras After surveying some mirror symmetry phenomena in the geometry of Langlands dualHitchin systems, we will model the Hitchin system on cominuscule upward flows by the equivariantcohomology of cominuscule flag varieties like the Grassmannian. Then we will Read More …