Seminar Details
Fourier Analysis and Arithmetic Progressions
- Start Date: April 29, 2026
- Event Start Time: 12:15 PM
- Event End Time: 1:15 PM
- Seminar Series: Graduate Combinatorics Seminar
- Presenter(s): Bora Calim - Rutgers University
- Event Location: Mathematics Graduate Student Lounge -- 7th Floor | Rutgers University | Hill Center | Mathematics Department
- Presentation Type: Stand Alone Presentation
- Abstract:
I will quickly review discrete Fourier analysis and use it to prove an analogue of Roth's theorem on sets not containing 3-term arithmetic progressions in the finite field vector space setting. I will briefly indicate how to transfer this argument to the integers. Then I will talk a bit about how this approach fails to handle sets without 4-term progressions. Knowing discrete Fourier analysis is not a prerequisite.