Document Type
Lecture
Publication Date
9-4-2020
Abstract
Motivated by connections with mathematical physics, a major topic within the analytic theory of automorphic forms is their mass distribution. One problem in this direction is to compute the quantum variance, which describes how far away the L² mass of a typical form is from being equidistributed. In this talk, I will describe some recent joint work with Bingrong Huang (Shandong), in which we compute the quantum variance over the family of dihedral Maass forms, which is a distinguished, sparse subset of Maass forms. In particular, the leading order constant in our formula for the quantum variance includes a geometric factor, which is consistent with a prediction from the physics literature, as well as subtle arithmetic factors.
Relational Format
presentation
Recommended Citation
Lester, Steve, "Quantum Variance for Dihedral Maass Forms" (2020). Algebra/Number Theory Seminar. 18.
https://egrove.olemiss.edu/math_algebra_number_theory/18
