Iwasawa Theory and Galois Representations

University of Warwick, 8-12 April 2013
Organizers: John Cremona (Warwick), John Coates (Cambridge), Samir Siksek (Warwick), Chris Wuthrich (Nottingham), Sarah Zerbes (UCL)

All talks will be in Room B3.03, Mathematics department, Zeeman Building (building no. 38 on this map).

Monday 8 April

• 8.00-9.15 Registration (in the Mathematics Research Centre office, Zeeman Building).
  Coffee in the common room.
• 9.15-10.15 Kevin Buzzard (Imperial)
  What does the mod $p$ local Langlands correspondence look like?
• 10.15-11.00 Coffee
• 11.00-12.00 Laurent Berger (Lyon)
  Sen theory and Lubin-Tate extensions
• 12.00-14.00 Lunch
• 14.00-15.00 Xavier Caruso (Rennes),
  What is the analogue of $(\phi,\Gamma)$-modules for the Breuil-Kisin extension?
• 15.00-16.00 Tea
• 16.00-17.00 Denis Benois(Bordeaux)
  On the derivatives of $p$-adic L-functions
• 17.00 Reception
• 18.00 Dinner

Tuesday 9 April

• 9.15-10.15 Mahesh Kakde (KCL)
  Congruences in Iwasawa theory and applications
• 10.15-11.00 Coffee
• 11.00-12.00 Konstantin Ardakov (QMUL)
  Equivariant $\widehat{\mathcal{D}}$-modules on rigid analytic spaces
• 12.00-14.00 Lunch
• 14.00-15.00 Thanasis Bouganis (Heidelberg)
  $p$-adic measures for Hermitian modular forms and the Rankin-Selberg method
• 15.00-15.30 Tea
• 15.30-16.30 Sujatha Ramdorai (UBC)
  Residual representations and Iwasawa theoretic invariants
• Evening: Conference dinner at Baddesley Clinton. Coach departs at 17.00.

Wednesday 10 April

• 9.15-10.15 Romyar Sharifi (Arizona)
  Conjectures on cup products of units and modular symbols
• 10.15-11.00 Coffee
• 11.00-12.00 Takako Fukaya (Chicago)
  On some variants of Sharifi conjectures
• 12.00-14.00 Lunch
• Free Afternoon

Thursday 11 April

• 9.15-10.15 John Coates (Cambridge)
  On the conjecture of Birch and Swinnerton-Dyer
• 10.15-11.00 Coffee
• 11.00-12.00 Henri Johnston (Cambridge)
  $p$-adic group rings and the equivariant Tamagawa number conjecture
• 12.00-14.00 Lunch
• 14.00-15.00 Jan Nekovář (Jussieu)
  Generalised Eichler-Shimura relations and Galois representations occurring in cohomology of certain Shimura varieties
• 15.00-16.00 Tea
• 16.00-17.00 Jack Lamplugh (Cambridge)
  An analogue of the Washington-Sinnott theorem for elliptic curves with CM

Friday 12 April

• 9.15-10.15 Andreas Nickel (Bielefeld)
  Equivariant Iwasawa theory and non-abelian Stark-type conjectures
• 10.15-11.00 Coffee
• 11.00-12.00 David Loeffler (Warwick)
  Euler systems for Rankin-Selberg convolutions of modular forms
• 12.00-14.00 Lunch and Departure