Department of Mathematics

Algebra

  •  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.

 

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Department of Mathematics
Michigan State University
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C212 Wells Hall
East Lansing, MI 48824

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

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