„A non-vanishing theorem of Rohrlich via Iwasawa theory“
Prof. Dr. John Coates, University of Cambridge
I will discuss some joint work with Yongxiong Li showing that, if q is any prime number with q ≡ 7 mod 16, then L(A/H,1) 6= 0; here K = Q(√−q),H is the Hilbert class ﬁeld of K, and A is the Gross Q-curve deﬁned over K, with complex multiplication by the ring of integers of K and discriminant ideal generated by −q3. Rohrlich proved this theorem by classical analytic number theory for all primes q ≡ 7 mod 8, but we employ a quite diﬀerent argument based on Iwasawa theory for the prime p = 2.
Freitag, den 27. April 2018 um 13:30 Uhr, in INF 205, SR A Freitag, den 27. April 2018 at 13:30, in INF 205, SR A
Der Vortrag folgt der Einladung von The lecture takes place at invitation by Prof. Dr. Otmar Venjakob