Department of Mathematics


  •  Slopes of modular forms and the ghost conjecture.
  •  10/24/2017
  •  3:00 PM - 4:00 PM
  •  C304 Wells Hall
  •  John Bergdall, MSU

Abstract: In the previous two talks I discussed modular forms and their generalization p-adic modular forms. The space of p-adic modular forms is a p-adic Banach space equipped with an important operator U (the p-th Hecke operator). In this talk I will explain a conjecture recently formulated by Pollack and myself on the p-adic norms of eigenvalues of the U-operator acting on p-adic modular forms. Surprisingly, our description of these norms is completely elementary. If time permits I will discuss some of the evidence we have for our conjecture and its natural generalizations.



Department of Mathematics
Michigan State University
619 Red Cedar Road
C212 Wells Hall
East Lansing, MI 48824

Phone: (517) 353-0844
Fax: (517) 432-1562

College of Natural Science