Speaker : Professor Andreas Schweizer (Institute of Mathematics, Academia Sinica)
Title : Supersingular reduction of Drinfeld modules
Time : 2011-11-22 (Tue) 14:30 - 15:45
Place : Seminar Room 617, Institute of Mathematics (NTU Campus)
Abstract: Elkies showed that every elliptic curve over has infinitely many places of supersingular reduction. M.~Brown proved that every Drinfeld module of rank for whose -invariant satisfies some condition also has infinitely many places of supersingular reducion. More surprisingly, Poonen showed that there do indeed exist Drinfeld modules with no supersingular places at all. However, their results do not say anything about the case of Drinfeld modules of rank in characteristic , for which we guess that there should always be infinitely many supersingular places. This is some sort of open-problem/possible-research-project-talk.