On singular moduli for arbitrary discriminants
Event details
| Date | 08.11.2012 |
| Hour | 11:15 › 12:30 |
| Speaker | Bianca Viray |
| Location | |
| Category | Conferences - Seminars |
Let d1 and d2 be discriminants of quadratic imaginary orders and let J(d1,d2)^2 denote the product of differences of CM j-invariants with discriminants d1 and d2. In 1985, Gross and Zagier gave an elegant formula for the factorization of the integer J(d1,d2) in the case that d1 and d2 are relatively prime and discriminants of maximal orders. In this talk, I will explain how we generalize their methods and give a complete factorization in the case that d1 is squarefree and d2 is any discriminant and a partial factorization in all other cases. If time permits, I will explain how this leads us to a conjectural formula for when the conductors of d1 and d2 are relatively prime. This is joint work with Kristin Lauter.
Practical information
- General public
- Free
Organizer
- CIB
Contact
- Isabelle Derivaz-Rabii