Caltech-Tsinghua Joint Colloquium
Online Event
Spectral Reciprocity, Subconvexity, and Arithmetic Applications
Liyang Yang,
Postdoctoral Scholar,
Department of Mathematics,
Caltech,
Spectral reciprocity reveals hidden connections between different automorphic spectra and has emerged as a powerful tool in the study of automorphic $L$-functions. In this talk, I will explain how recent spectral reciprocity formulas can be used to obtain explicit subconvexity bounds for $\mathrm{GL}_2$ over number fields, and I will highlight some arithmetic applications that follow from these ideas.
For more information, please contact Mathematics Department by email at [email protected].
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