Working group on Coherent Spring theory and the categorical Deligne-Langlands correspondence (after Ben-Zvi, Chen, Helm and Nadler)

The goal of this working group is to study the paper "Coherent Spring theory and the categorical Deligne-Langlands correspondence" by Ben-Zvi, Chen, Helm and Nadler.

Participants

Gabriel Dospinescu (Université Clermont Auvergne)
Simon Jacques (Université Clermont Auvergne)
Kostas Psaromiligkos (Université Clermont Auvergne)
Simon Riche (Université Clermont Auvergne)
Benjamin Schraen (Université Claude Bernard Lyon 1)
Olivier Taïbi (École Normale Supérieure de Lyon)
Emilien Zabeth (Université Clermont Auvergne)

Schedule

Jan. 25th, 2024: Overview of the paper (G. Dospinescu).
Feb. 12th, 2024: Section 2 - Computation of the Hochschild homology of the Hecke category (S. Riche).
Feb. 23rd, 2024: Section 3 (K. Psaromiligkos).
March 4th, 2024: Section 4 (B. Schraen).
March 22nd, 2024: Section 5 (O. Taïbi)

Notes

Notes for some of the talks:

Talk 1: Overview (G. Dospinescu).
Talk 2: Computation of the Hochschild homology of the Hecke category (S. Riche).
Talk 3: Categorical traces of convolution categories (K. Psaromiligkos).

Any comments on these notes are welcome!

Funding

This research is funded by the European Research Council (ERC) under the European Union's Horizon 2020 research and innovation programme (grant agreement No. 101002592).