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

Alternatively have a look at the program.

## 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 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 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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