Effective equidistribution of semisimple adelic periods and representations of quadratic forms
Hot Topics: Interactions between Harmonic Analysis, Homogeneous Dynamics, and Number Theory March 03, 2025 - March 07, 2025
Location: SLMath: Eisenbud Auditorium, Online/Virtual
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Effective equidistribution of semisimple adelic periods and representations of quadratic forms
We discuss an effective equidistribution theorem for semisimple periodic orbits on compact adelic homogeneous spaces. The obtained error depends polynomially on the minimal complexity of intermediate orbits and the complexity of the ambient space. We apply this equidistribution theorem to the problem of establishing a local-global principle for representations of integral quadratic forms, improving the codimension assumptions and providing effective bounds in a theorem of Ellenberg and Venkatesh. This is joint work with Manfred Einsiedler, Elon Lindenstrauss, and Amir Mohammadi.
Effective equidistribution of semisimple adelic periods and representations of quadratic forms
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