| PU/IAS NUMBER THEORY | |
| Topic: | Sieve Methods for Quantum Unique Ergodicity and General Shifted Sums |
| Speaker: | Roman Holowinsky |
| Affiliation: | Rutgers, The State University of New Jersey and Member, School of Mathematics |
| Date: | Thursday, November 30 |
| Time/Room: | 4:30pm - 5:30pm/Princeton University, Fine Hall 214 |
In this talk, I shall introduce a sieve method for bounding the average size of shifted convolution summation terms related to the Quantum Unique Ergodicity Conjecture for a fixed Hecke-Maass cusp form. This bound will be uniform in the spectral parameter provided that standard bounds hold for the symmetric square and symmetric fourth power L-functions at the point s=1. We shall see that the sieve method can be applied to a wide variety of shifted sums, including sums with multiple shifts.