Notes on Talks at the Simons Symposium on Families of Automorphic Forms and the Trace Formula
نویسندگان
چکیده
The following are notes on the talks at the Simons Symposium on Families of Automorphic Forms and the Trace Formula, held from January 26 to February 1 in Puerto Rico. All errors should be attributed solely to the typist, Steven J. Miller; these notes were TeX-ed in real time (with no effort made to go back and correct mistakes!).. See https://web.math.princeton.edu/~templier/families/ for more information about the conference. CONTENTS 1. Families of automorphic forms of cohomological type (Calegari) 3 2. Limit multiplicities for principal congruence subgroups of GLn (Muller) 5 2.1. Part 1 5 2.2. Part 2: Non-uniform case 5 2.3. Part 3: General case 5 3. Families of L-functions and their symmetry (Templier) 7 4. Using model theory to obtain uniform bounds for orbital integrals (Gordon) 9 5. (Gee) 11 6. Results on L-functions and Low-Lying Zeros (Miller) 13 7. Upper bounds for moments of L-functions (Soundararajan) 14 8. Eigenvarieties (Urban) 17 9. The trace formula and prehomogeneous vector spaces (Hoffman) 19 10. Analytic problems with the Trace Formula (Mueller) 21 11. Sato-Tate Conjecture for Families (Shin) 23 11.
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