| Original language | English (US) |
|---|---|
| Pages (from-to) | 1171-1214 |
| Number of pages | 44 |
| Journal | Journal of the American Mathematical Society |
| Volume | 35 |
| Issue number | 4 |
| DOIs | |
| State | Published - 2022 |
Bibliographical note
Funding Information:I especially would like to thank Gérard Laumon for useful discussions. The argument using character sheaves in mixed-characteristic to prove the Braverman-Kazhdan conjectures in the ℓ-adic setting, follows a suggestion of his. I also would like to thank Roman Bezrukavnikov, Ngô Bao Châu, Victor Ginzburg, and Zhiwei Yun for useful discussions. I thank the anonymous referees for valuable comments. I am grateful for the support of NSF grant DMS-1702337 and DMS-2001257, and the S. S. Chern Foundation.