Talk and slides from the Hitchin80 conference in Madrid

6 October 2026

Conference: Geometry conference in honour of Nigel Hitchin on the occasion of his 80th birthday, ICMAT, Madrid, 21–25 September 2026

Talk: From Hitchin systems to quantum groups — slides

Abstract: I will explain how quantum groups and affine Hecke algebras can model the equivariant K-theory of affine Grassmannians and Schubert varieties, and hint at how this could be analogous to the famous Hitchin system. Based on joint works with Jakub Löwit and Shon Ngo.

The birthday present — coloured sculptures of the Bruhat graphs of the rank 2 coroot lattices, 3D-printed at ISTA — is described on Miguel González’s project page.

The coloured sculptures being presented at the conference
Photo from miguelgg.com/projects/hitchin80

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