Quantum ergodicity of Eisenstein series over imaginary quadratic fields
김도형
129동 301호
0
6161
02.11 10:54
| 구분 | 정수론 |
|---|---|
| 일정 | 2026-02-23(월) 14:00~15:00 |
| 세미나실 | 129동 301호 |
| 강연자 | 김도연 (본대학교(University of Bonn)) |
| 담당교수 | 김도형 |
| 기타 |
Quantum ergodicity studies the behavior of the mass distribution of Laplace eigenfunctions as their eigenvalues increase. In the arithmetic setting, Eisenstein series provide a natural family of such eigenfunctions, and the problem naturally leads to familiar number-theoretic objects such as L-functions. I will discuss a generalization of quantum ergodicity for Eisenstein series to arithmetic hyperbolic 3-manifolds attached to imaginary quadratic fields of arbitrary class number. A key point is a reconciliation of the classical and adelic viewpoints on automorphic forms, which becomes necessary in the higher class number case.