Geometric analytic number theory
Introductory Workshop: Analytic Number Theory February 06, 2017 - February 10, 2017
Location: MSRI: Simons Auditorium
function fields
arithmetic statistics
algebraic geometry
moduli spaces
11T55 - Arithmetic theory of polynomial rings over finite fields
11G20 - Curves over finite and local fields [See also 14H25]
11R58 - Arithmetic theory of algebraic function fields [See also 14-XX]
Geometric Analytic Number Theory
I will give an overview of recent progress by many people in analytic number theory over function fields like F_q(t), focusing on the relation between arithmetic-statistical problems over function fields and questions about the topology and algebraic geometry of moduli spaces (over finite fields and even over the complex numbers.) The talk will not assume knowledge of algebraic geometry
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Ellenberg Notes
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Geometric Analytic Number Theory
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03-Ellenberg.mp4
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