Math 99r: Fourier Analysis on Number Fields (Fall 2020)

We meet in Zoom on Tuesdays and Thursdays from 9am to 10:15am. The syllabus can be found here.

• Week 1 (topological groups): 9/8 slides, 9/10 slides, and problem set 1.
• Week 2 (p-adic numbers and valued fields): 9/15 slides, 9/17 slides, and problem set 2.
• Week 3 (Hensel's lemma and local fields): 9/22 slides, 9/24 slides, and problem set 3.
• Week 4 (measures and Pontryagin duals): 9/29 slides, 10/1 slides, and problem set 4.
• Week 5 (Pontryagin duality): 10/6 slides, 10/8 slides, and problem set 5.
• Week 6 (classic Poisson summation and number fields): 10/13 slides, 10/15 slides, and problem set 6.
• Week 7 (adeles and ideles): 10/20 slides, 10/22 slides, and problem set 7.
• Week 8 (strong approximation and differents): 10/27 slides, 10/29 slides, and problem set 8.
• Week 9 (adelic Poisson summation and Hecke L-functions): 11/3 slides, 11/5 slides, and problem set 9.
• Week 10 (global zeta integrals): 11/10 slides, 11/12 slides, and problem set 10.
• Week 11 (epsilon factors and profinite groups): 11/17 slides, 11/19 slides, and problem set 11.