- Series
- Graduate Student Colloquium
- Time
- Friday, October 28, 2022 - 12:00pm for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Christina Giannitsi – Georgia Tech
- Organizer
- Trevor Gunn
In this talk we will go over the Hardly-Littlewood circle method, and the major and minor arc decomposition. We shall then see a toy-example of the High-Low decomposition, and proceed with defining sparse families and sparse domination. We will conclude by explaining why sparse domination is of interest to us when studying $L^p$ bounds. This talk aims to be accessible to people without a strong background in the area. Some basic concepts of real and harmonic analysis will be useful (e.g. $L^p$ spaces, Fourier transform, Holder inequality, the Hardy-Littlewood Maximal function, etc)