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Number Theory Seminar
Seminar information archive ～09/10｜Next seminar｜Future seminars 09/11～
| Date, time & place | Wednesday 17:00 - 18:00 117Room #117 (Graduate School of Math. Sci. Bldg.) |
|---|---|
| Organizer(s) | Naoki Imai, Shane Kelly |
2011/01/26
16:30-17:30 Room #056 (Graduate School of Math. Sci. Bldg.)
Shinichi Kobayashi (Tohoku University)
The p-adic Gross-Zagier formula for elliptic curves at supersingular primes (JAPANESE)
Shinichi Kobayashi (Tohoku University)
The p-adic Gross-Zagier formula for elliptic curves at supersingular primes (JAPANESE)
[ Abstract ]
The p-adic Gross-Zagier formula is a formula relating the derivative of the p-adic L-function of elliptic curves to the p-adic height of Heegner points. For a good ordinary prime p, the formula is proved by B. Perrin-Riou more than 20 years ago. Recently, the speaker proved it for a supersingular prime p. In this talk, he explains the proof.
The p-adic Gross-Zagier formula is a formula relating the derivative of the p-adic L-function of elliptic curves to the p-adic height of Heegner points. For a good ordinary prime p, the formula is proved by B. Perrin-Riou more than 20 years ago. Recently, the speaker proved it for a supersingular prime p. In this talk, he explains the proof.
