
Date : 20220415 (Fri) 16:00

Place : 27325 (SNU)
 Speaker : Seokho Jin (ChungAng University)
 Title : A note on nonordinary primes for some genuszero arithmetic groups
 Abstract : Suppose that O_L is the ring of integers of a number field L, and suppose that f(z) is a normalized Hecke eigenform for Γ0(N)+. We say that f is nonordinary at p if there is a prime ideal p ⊂ OL above p for which a_f(p) ≡ 0 (mod p). In authors’ previous paper it was proved that there are infinitely many Hecke eigenforms for SL2(Z) such that are nonordinary at any given finite set of primes. In this talk, we extend this result to some genus 0 subgroups of SL2(R), namely, the normalizers Γ0(N)+ of the congruence subgroups Γ0(N). This is joint with Wenjun Ma.
 Website: https://sites.google.com/view/snunt/seminars
[SNU Number Theory Seminar 20220415] A note on nonordinary primes for some genuszero arithmetic groups
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