Quantum ergodicity of Eisenstein series over imaginary quadratic fields

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Quantum ergodicity of Eisenstein series over imaginary quadratic fields

김도형 0 6161
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.

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