# Conference on Global Langlands, Shimura varieties, and shtukas

**Dates: August 07 - 11, 2023**

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

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

**Description:**

This conference will be on various aspects of the global Langlands correspondence. Topics will include in particular the geometry and cohomology of Shimura varieties and more general locally symmetric spaces, or moduli spaces of shtukas.

**Speakers:**

Samit Dasgupta (Durham)

Matthew Emerton (Chicago)

Dennis Gaitsgory (MPI Bonn)

Linus Hamann (Princeton)

Pol van Hoften (Stanford)

Srikanth Iyengar (Utah)

Vincent Lafforgue (Grenoble)

Si Ying Lee (Bonn)

Chao Li (Columbia)

Yifeng Liu (Zhejiang)

James Newton (Oxford)

Lue Pan (Princeton)

Vincent Pilloni (Paris)

Alice Pozzi (London)

Sam Raskin (Austin)

Cong Xue (Paris)

Sarah Zerbes (ETH Zürich)

Rong Zhou (Cambridge)

Xinwen Zhu (Stanford)

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, August 7

James Newton - Symmetric power functoriality for Hilbert modular forms

Sarah Zerbes - Iwasawa theory for the symmetric square of an elliptic curve

Lue Pan - Some vanishing results for rational completed cohomology of Shimura varieties

Rong Zhou - Strongly compatible systems associated to abelian varieties

# Tuesday, August 8

Linus Hamann: Geometric Eisenstein Series and Torsion Vanishing

Dennis Gaitsgory: Geometric Langlands over F_q

# Wednesday, August 9

Vincent Pilloni: p-adic Eichler-Shimura theory and an arithmetic application

Samit Dasgupta: On the Brumer-Stark Conjecture and Renements

# Thursday, August 10

Srikanth Iyengar - Congruence modules in higher codimensions

Alice Pozzi: Generalised eigenvalues via Flach classes

Pol van Hoften: On exotic Hecke correspondences

# Friday, August 11

Yifeng Liu - Anticyclotomic p-adic L-functions for Rankin-Selberg motives

Vincent Lafforgue - Progress on local shtukas