Speaker：Dan Ciubotaru (University of Oxford)

Time：2026-9-16 16: 00

Location：Zoom ID: 841 3254 9527 (Password: 20260916)

Abstract:

The Jantzen conjecture is a refinement of the Kazhdan-Lusztig conjectures describing the multiplicity of composition factors into the standard modules. In the classical setting of category O and in the category of (g,K)-modules of real reductive groups, the Jantzen conjecture was proved by Beilinson and Bernstein in 1993. My own interest in this result comes from the applications to the computation of signatures of invariant hermitian forms, as pioneered by Vogan. For p-adic groups, or in the equivalent setting of affine Hecke algebras, not a lot was known outside type A. Over this summer, I got AI (Chat GPT) to produce a proof for graded affine Hecke algebras with equal parameters. In this talk, I will explain the main ideas of the proof and talk about my journey in using AI for this project.