Babyseminar SS2025 - Eigenvarieties
The babyseminar of the Summer Semester 2025 will be on eigenvarieties. You can find a copy of the program here. Feel free to point out any typo or mistake. You can always pass by my office to discuss about the contents of the talks or for suggestions on which talk to choose. You can find a small graph showing how the talks are related here.
The talks should last around 90 minutes.
Our time slot is on Wednesdays from 14:00 (i.e. 14:15) to 16:00 in the room N-U-4.04.
| Date | Topic | Speaker | |
| Talk 0 | 9/4 | Introduction | Paolo |
| Talk 1 | 16/4 | Modular forms | |
| Talk 2 | 23/4 | Hecke operators | |
| Talk 3 | 30/4 |
Spectra of eigenalgebras |
|
| Talk 4 | 7/5 | Banach modules, compact operators, Fredholm's determinant | |
| Talk 5 | 14/5 | Riesz's theory | |
| Talk 6 | 21/5 | Crash course on rigid geometry | |
| Talk 7 | 28/5 | Adapted pairs and modules of bounded slope | |
| Talk 8 | 4/6 | Definition and construction of eigenvarieties | |
| Talk 9 | 11/6 | Properties of eigenvarieties and a first example | |
| Talk 10 | 18/6 | Overconvergent modular forms | |
| Talk 11 | 25/6 | Coleman-Mazur eigencurve | |
| Talk 12 | 2/7 | Eigencurve of units in definite quaterion algebras over the rationals | |
| Talk 13 | 9/7 | ? |