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Abstracts for Oscillatory integrals in number theory. Number Theory Lunch Seminar jointly with the Hausdorff School

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Oscillatory integrals and stationary phase estimates in analytic number theory

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Speaker: 
Ian Petrow
Affiliation: 
UCL
Date: 
Wed, 10/07/2024 - 14:45 - 15:45
Location: 
MPIM Lecture Hall
Parent event: 
Oscillatory integrals in number theory. Number Theory Lunch Seminar jointly with the Hausdorff School

I will give an overview of how oscillatory integrals arise in analytic number theory, especially the theory of L-functions and automorphic forms. Usually the integrals we are faced with are multiple-yet-low dimensional, so that they are approachable by repeated one-dimensional stationary phase estimates.

Incidence estimate and oscillatory integrals

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Speaker: 
Hong Wang
Affiliation: 
NYU Courant Institute
Date: 
Wed, 10/07/2024 - 16:45 - 17:35
Location: 
MPIM Lecture Hall
Parent event: 
Oscillatory integrals in number theory. Number Theory Lunch Seminar jointly with the Hausdorff School

We will discuss some recent multi-scale method on incidence estimate for tubes and its application to oscillatory integrals.
The multi-scale method was developed by Keleti-Shmerkin, Orponen, Shmerkin, etc.

 

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