Home /  CMI/MSRI Workshop: Modular Forms and Arithmetic

Workshop

CMI/MSRI Workshop: Modular Forms and Arithmetic June 28, 2008 - July 02, 2008
Registration Deadline: June 20, 2008 over 16 years ago
To apply for Funding you must register by: March 28, 2008 over 16 years ago
Parent Program: --
Organizers Frank Calegari, Samit Dasgupta, David Ellwood, Bjorn Poonen, and Richard Taylor
Description
This conference, jointly funded by MSRI and the Clay Mathematics Institute, will bring together researchers on many aspects of the arithmetic applications of modular (and automorphic) forms. This is currently a very broad and very active subject. Our intention is to encourage interaction between those working in different sub-disciplines. To this end it is hoped to limit lectures to 4 hours a day, allowing plenty of time for informal interactions. On Tuesday, July 1, 2008 at 7pm there will be a dinner to honor Ken Ribet on his 60th birthday. Speaker List: Matthew Baker Joel Bellaiche Kevin Buzzard Frank Calegari Robert Coleman Samit Dasgupta Matthew Emerton Johan de Jong Benedict Gross David Helm Nicholas Katz Mark Kisin Elena Mantovan Barry Mazur Loic Merel Bjorn Poonen William Stein Marie-France Vigneras Links to 500KB PDF file Talk Titles and Abstracts PDF 73KB Tex 12KB Schedule: http://math.berkeley.edu/~poonen/schedule.html Saturday and Sunday talks will be held on the UC Berkeley campus, in 105 North Gate Hall (http://www.berkeley.edu/map/maps/AB45.html). Beginning Monday, June 30, talks will be held in the Simons Auditorium at MSRI's Chern Hall (directions: http://www.msri.org/about/directions/index_html). This workshop is partially supported by the Clay Mathematics Institute and the Number Theory Foundation. If you would like to participate in our Tuesday dinner, complete the registration form here by Wednesday, June 25, 2008 at 5pm: Dinner Registration Form PDF 48KB A block of rooms has been reserved at the Rose Garden Inn. Reservations may be made by calling 1-800-992-9005 OR directly on their website. Click on Corporate at the bottom of the screen and when prompted enter code MATH (this code is not case sensitive). By using this code a new calendar will appear and will show MSRI rate on all room types available. The following Group Code should be entered in the "Comment" field when booking through our Website. Group Code = CGMS68. The cut-off date for reservations is June 06, 2008 A block of rooms has been reserved at the Hotel Durant. Please mention the workshop name and reference the following code when making reservations via phone, fax or e-mail: DE0000. The cut-off date for reservations is June 2, 2008. Please note there will be no contributed talks for this workshop. Please ignore the section to present a talk while registering.
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Funding & Logistics Show All Collapse

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To apply for funding, you must register by the funding application deadline displayed above.

Students, recent PhDs, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are typically made 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.

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For information about recommended hotels for visits of under 30 days, visit Short-Term Housing. Questions? Contact coord@slmath.org.

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Schedule, Notes/Handouts & Videos
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Jun 28, 2008
Saturday
09:10 AM - 10:10 AM
  Construction of abelian extensions following Ken Ribet
Barry Mazur (Harvard University)
10:30 AM - 11:30 AM
  Ken Ribet and Fermat's Last Theorem
Kevin Buzzard (Imperial College, London)
02:00 PM - 03:00 PM
  Lang-Trotter revisited, and lower bounds for Frobenius traces
Nicholas Katz (Princeton University)
04:00 PM - 05:00 PM
  Shimura varieties mod p
Mark Kisin (Harvard University)
Jun 29, 2008
Sunday
09:00 AM - 10:00 AM
  A functor from smooth OL-torsion representations to ( φ, Γ )-modules
Marie-France Vigneras (Université de Paris VII (Denis Diderot))
10:30 AM - 11:30 AM
  On l-adic families of admissible representations of GL2(Qp)
David Helm
02:00 PM - 03:00 PM
  Kolyvagin's Approach to the Birch and Swinnerton-Dyer Conjecture
William Stein (University of Washington)
04:00 PM - 05:00 PM
  Ramification theory and finite subgroups of Lie groups
Benedict Gross (Harvard University)
Jun 30, 2008
Monday
09:00 AM - 10:00 AM
  Level Lowering of p-adic Modular Forms
Matthew Emerton (University of Chicago)
10:30 AM - 11:30 AM
  Cohomological Obstructions to Rational Points.
Bjorn Poonen (Massachusetts Institute of Technology)
Jul 01, 2008
Tuesday
09:00 AM - 10:00 AM
  Towards a Torsion Jacquet_Langlands Correspondence for GL(2)
Frank Calegari (Northwestern University)
10:30 AM - 11:30 AM
  Ribet's Converse to Herbrand and the Weak Gross-Stark Conjecture.
Samit Dasgupta (University of California, Santa Cruz)
02:00 PM - 03:00 PM
  Non Trival Extensions of p-adic Galois Representations that are Trival at p.
Joel Bellaiche (Brandeis University)
04:00 PM - 05:00 PM
  Modular Symbols for Global Fields
Loic Merel
Jul 02, 2008
Wednesday
09:00 AM - 10:00 AM
  Wide Open Spaces
Robert Coleman
10:30 AM - 11:30 AM
  Integral Models for Toroidal Compactications of Shimura Varieties.
Elena Mantovan (California Institute of Technology)
02:00 PM - 03:00 PM
  Torsion Points on Abelian Varieties
Matthew Baker (Georgia Institute of Technology)