Posted in
Speaker:
Kenji Makiyama
Zugehörigkeit:
Kyoto Sangyo University
Datum:
Don, 23/11/2017 - 09:50 - 10:40
Location:
MPIM Lecture Hall We will construct a $p$-adic family of Saito-Kurokawa lifts for a Coleman family and extend the result of Agarwal and Brown on the Bloch-Kato conjecture for elliptic modular forms of low weights to higher weights. More precisely, we will prove that the $p$-valuation of the order of the Selmer group of a Coleman deformation is bounded below by the $p$-valuation of the algebraic part of the critical $L$-value attached to the initial Hecke eigenform of a Coleman family satisfying some reasonable assumptions given by Agarwal and Brown.
© MPI f. Mathematik, Bonn | Impressum & Datenschutz |