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- From solution counting to Fourier analysis: connections between efficient congruencing and decoupling
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Wednesday, 12 July 2023
Abstract
I will discuss how one can slowly translate a version of Wooley's efficient congruencing argument into a Fourier decoupling argument. One difficulty to overcome is to understand what solution counting means in terms of Fourier analysis. For simplicity we will mostly concentrate on this dictionary between the quadratic case of Vinogradov's Mean Value Theorem and decoupling for the parabola.
Speaker
Zane Li
Research area
Number Theory
Affilation
University of Wisconsin-Madison
Date
Wednesday 12 July 2023, 2.00 pm
Location
Room 4082 (Anita B. Lawrence Center)