# Conference on Local Langlands and p-adic methods

**Dates: June 12 - 16, 2023**

**Venue:** Lipschitz-Saal (Endenicher Allee 60, Bonn)

**Organizers:** Frank Calegari (Chicago), Ana Caraiani (London), Laurent Fargues (Jussieu), Peter Scholze (Bonn)

The conference is financially supported in part by the **Philip Leverhulme Prize** of Ana Caraiani.

**Description: **

This conference will be on various aspects of the local Langlands correspondence over p-adic fields and methods from p-adic Hodge theory. Topics will include the usual local Langlands correspondence, the p-adic local Langlands correspondence and the relation to coherent sheaves on spaces of Galois representations, and the geometry and cohomology of local Shimura varieties.

Speakers:

Charlotte Chan (Michigan)

Gabriel Dospinescu (Lyon)

Andrea Dotto (Chicago)

Tony Feng (Berkeley)

Jessica Fintzen (Bonn)

Ian Gleason (Bonn)

David Hansen (Singapur)

Eugen Hellmann (Münster)

David Helm (London)

Ashwin Iyengar (Johns Hopkins)

Tasho Kaletha (Michigan)

Brandon Levin (Houston)

Joao Lourenco (Münster)

Lucas Mann (Münster)

Wieslawa Niziol (Paris)

Juan Esteban Rodriguez Camargo (Bonn)

Eva Viehmann (Münster)

Marie-France Vigneras (Paris)

Click here for the schedule.

Click here for the abstracts.

Trimester Program guests, who were invited and have confirmed to be at HIM during the period of this workshop, are eligible to attend this event.

# Video Recordings

# Monday, June 12

Tasho Kaletha - A local Langlands conjecture for disconnected groups

Charlotte Chan - Generic character sheaves for parahoric subgroups

Andrea Dotto - Some consequences of mod p multiplicity one for Shimura curves

David Helm - Finiteness for Hecke algebras of p-adic reductive groups

# Tuesday, June 13

Jessica Fintzen - Representations of p-adic groups and Hecke algebras

Eugen Hellmann - The finite slope part of overconvergent cohomology and coherent sheaves on spaces of Galois representations

Juan Esteban Rodriguez Camargo - A local Jacquet-Langlands correspondence for locally analytic D-modules

Eva Viehmann - Admissibility and weak admissibility

David Hansen - What can categorical local Langlands do for YOU?

# Wednesday, June 14

Gabriel Dospinescu - One-dimensional mod p quaternionic representations

Wieslawa Niziol - Duality in p-adic pro-etale cohomology of analytic curves

# Thursday, June 15

Ian Gleason - Meromorphic vector bundles on the Fargues Fontaine curve

Joao Lourenco - Towards Bezrukavnikov via p-adic central sheaves

Marie-France Vigneras - Representations of GLn(D) near the identity

Lucas Mann - Representation Theory via 6-Functor Formalisms

Ashwin Iyengar - Gamma factors for mod ℓ representations of nite general linear groups

# Friday, June 16

Brandon Levin - The weight part of Serre's conjecture and the Emerton-Gee stack

Tony Feng - A new approach to Breuil-Mezard cycles