Abstract
For the group we perform a comparison between two relative trace formulas: On the one hand, the relative trace formula of Jacquet for the quotient , where is a nontrivial torus, and on the other the Kuznetsov trace formula (involving Whittaker periods), applied to nonstandard test functions. This gives a new proof of the celebrated result of Waldspurger on toric periods, and suggests a new way of comparing trace formulas, with some analogies to Langlands' 'Beyond Endoscopy' program.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 347-447 |
| Number of pages | 101 |
| Journal | Journal of the Institute of Mathematics of Jussieu |
| Volume | 18 |
| Issue number | 2 |
| DOIs | |
| State | Published - Mar 1 2019 |
All Science Journal Classification (ASJC) codes
- General Mathematics
Keywords
- L-functions
- Waldspurger's formula
- beyond endoscopy
- periods
- relative trace formula