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Special Collection in Honor of Robert F. Coleman

RobertColeman-padicConfPicRobert Coleman was one of the 20th century’s most influential number theorists. His ideas have influenced arithmetic geometry and the field of modular forms. He unexpectedly passed away a few years ago. This special collection has been assembled in his memory.

Edited by: Matt Baker (Georgia Institute of Technology), Barry Mazur (Harvard University), and Kenneth Ribet (University of California Berkeley) 

 

 

  1. We construct the compatible system of l-adic representations associated to a regular algebraic cuspidal automorphic representation of http://static-content.springer.com/image/art%3A10.1186%2Fs40687-016-0078-5/40687_2016_78_Article_IEq1.gif

    Authors: Michael Harris, Kai-Wen Lan, Richard Taylor and Jack Thorne
    Citation: Research in the Mathematical Sciences 2016 3:37
  2. We show that the Euler system associated with Rankin–Selberg convolutions of modular forms, introduced in our earlier works with Lei and Kings, varies analytically as the modular forms vary in p-adic Coleman fami...

    Authors: David Loeffler and Sarah Livia Zerbes
    Citation: Research in the Mathematical Sciences 2016 3:29
  3. We construct adic, compactified eigenvarieties parameterizing adic overconvergent Hilbert modular eigenforms of finite slope by constructing integral families of modular sheaves on the relevant formal Shimura ...

    Authors: Fabrizio Andreatta, Adrian Iovita and Vincent Pilloni
    Citation: Research in the Mathematical Sciences 2016 3:34
  4. Heegner points play an outstanding role in the study of the Birch and Swinnerton-Dyer conjecture, providing canonical Mordell–Weil generators whose heights encode first derivatives of the associated Hasse–Weil L-...

    Authors: Henri Darmon and Victor Rotger
    Citation: Research in the Mathematical Sciences 2016 3:27
  5. We give a unified, and somewhat simplified, account of the regulator formulas appearing in papers of Bertolini, Darmon and Rotger, describing the syntomic regulator on the first, second and third self-products...

    Authors: Amnon Besser
    Citation: Research in the Mathematical Sciences 2016 3:26
  6. We provide new proofs of two key results of p-adic Hodge theory: the Fontaine-Wintenberger isomorphism between Galois groups in characteristic 0 and characteristic p, and the Cherbonnier–Colmez theorem on decompl...

    Authors: Kiran S Kedlaya
    Citation: Research in the Mathematical Sciences 2015 2:20

    The Erratum to this article has been published in Research in the Mathematical Sciences 2015 2:25