Study group 22/23 Term 3: Tate's Thesis
This is the webpage for the Number Theory study group on Tate's Thesis in 22/23 Term 3. The talks take place every Friday at 1pm in room B3.03 (and also online on Microsoft Teams).
Notes
The notes for the study group can be found here (these will be updated weekly after every talk).
References
- Main reference: Chapter 4 of J. Sprang's lecture notes .
Other references:
- A. Holmstrom's lecture notes
- Chapters 6 and 7 of K. Kato, N. Kurokawa and T. Saito's book Number Theory 2 (available at the Warwick library).
Schedule
| Speaker | Date | Talk |
|---|---|---|
| Arshay | 28th April | Introduction and Overview |
| Kat | 5th May | Adeles, Ideles and their properties |
| Phil | 12th May | Proof of Dirichlet's unit theorem and finiteness of class groups |
| Kat | 19th May | Harmonic analysis on locally compact abelian groups |
| Ben | 26th May | Harmonic analysis on adeles and ideles |
| James | 6th June (4pm in MS.03) | Tate's Thesis Part I: Adelic Poisson summation formula |
| Alex | 9th June | Tate's Thesis Part II: Adelic zeta functions |
| Nuno | 16th June | Tate's Thesis Part III: Proof of functional equation for Dirichlet L-functions |
| Muhammad | 23rd June | Application I: Proof of the analytic class number formula |
| Arshay | 30th June | Application II: Survey talk on higher degree automorphic L-functions |