"Slopes of Modular Forms and the Ghost Conjecture" by John Bergdall and Robert Pollack
 

Document Type

Article

Version

Author's Final Manuscript

Publication Title

International Mathematics Research Notices

Volume

rnx141

Publication Date

2017

Abstract

We formulate a conjecture on slopes of overconvergent p" role="presentation" style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; font-family: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: normal; vertical-align: baseline; display: inline-table; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative;">p-adic cusp forms of any p" role="presentation" style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; font-family: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: normal; vertical-align: baseline; display: inline-table; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative;">p-adic weight in the Γ0(N)" role="presentation" style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; font-family: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: normal; vertical-align: baseline; display: inline-table; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative;">Γ0(N)-regular case. This conjecture unifies a conjecture of Buzzard on classical slopes and more recent conjectures on slopes “at the boundary of weight space.”

DOI

https://doi.org/10.1093/imrn/rnx141

Plum Print visual indicator of research metrics
PlumX Metrics
  • Citations
    • Citation Indexes: 6
  • Usage
    • Downloads: 2087
    • Abstract Views: 14
  • Captures
    • Readers: 3
see details

Included in

Mathematics Commons

Share

COinS