Open Questions and Recent Developments in Iwasawa Theory -- in honor of Ralph Greenberg's 60th Birthday

Open Questions and Recent Developments in Iwasawa Theory

in honor of Ralph Greenberg's 60th Birthday

Boston University — June 13-17, 2005


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Invited participants include:

Adebisi Agboola Massimo Bertolini David Burns
Henri Darmon Matthew Emerton Takashi Fukuda
Yoshitaka Hachimori Haruzo Hida Ben Howard
Mark Kisin Shinichi Kobayashi Masato Kurihara
Barry Mazur Tadashi Ochiai Robert Pollack
Karl Rubin Richard Taylor Romyar Sharifi
Glenn Stevens Jeremy Teitelbaum Eric Urban
Nike Vatsal Otmar Venjakob Larry Washington


Conference topics include:
Titles of talks and abstracts include:
Adebisi Agboola Rubin's variant of the p-adic Birch and Swinnerton-Dyer conjecture for CM elliptic curves
Massimo Bertolini p-adic families of modular forms on definite quaternion algebras and arithmetic applications
David Burns Algebraic p-adic L-functions and main conjectures in non-commutative Iwasawa theory
Henri Darmon Greenberg-style congruences for derivatives of L-series
Matthew Emerton Local-global compatibility in p-adic Langlands for GL2
Takashi Fukuda (speaker) and Keiichi Komatsu Prime divisors of special values of theta functions in the ray class fields of a certain quartic field modulo powers of 2
Haruzo Hida Greenberg's L-invariant and p-adic analytic families of modular forms
Ben Howard Variation of Heegner points in Hida families
Mark Kisin F-crystals and crystalline representations
Shinichi Kobayashi Towards two variable p-adic L-functions of CM elliptic curves at supersingular primes
Masato Kurihara Iwasawa theory and several elements in Galois cohomology
Tadashi Ochiai Greenberg's view on generalizing Iwasawa theory via Galois deformations
Barry Mazur Skew-hermitian modules in the arithmetic of elliptic curves
Robert Pollack μ-invariants of anticyclotomic p-adic L-functions of elliptic curves
Karl Rubin Finding large Selmer groups
Romyar Sharifi Iwasawa theory for Kummer extensions
Glenn Stevens A sheaf of analytic families of overconvergent p-adic modular forms
Jeremy Teitelbaum A p-adic Satake isomorphism
Richard Taylor Compatibility of local and global Langlands correspondences
Eric Urban Eisenstein congruences and Selmer groups
Nike Vatsal CM points and quaternion algebras

Conference organizers:
  • Li Guo (Rutgers Univ.)
  • Adrian Iovita (Concordia Univ.)
  • Masato Kurihara (Keio Univ.)
  • Robert Pollack (Boston Univ.)
  • David Rohrlich (Boston Univ.)
  • Glenn Stevens (Boston Univ.)

Funding for the conference provided by:
  • Boston University
  • Boston University Mathematics Department
  • Japan Society for the Promotion of Science (JSPS)
  • National Science Foundation (NSF)

E-mail questions to rpollack@math.bu.edu.