Mathematical Sciences Research Institute - CMI/MSRI Workshop: Modular Forms and Arithmetic

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.

Follow this link to read about the new U.S. visa requirements

Schedule
Saturday June 28, 2008
08:30AM - 09:00AM	Coffee and Registration at UCB North Gate Hall - Sat. and Sun. talks at UCB
09:00AM - 09:10AM	Introduction
09:10AM - 10:10AM	Barry Mazur	Construction of abelian extensions following Ken Ribet (See Abstract)
10:10AM - 10:30AM	Morning Break
10:30AM - 11:30AM	Kevin Buzzard	Ken Ribet and Fermat's Last Theorem (See Abstract)
11:30AM - 02:00PM	Lunch
02:00PM - 03:00PM	Nicholas Katz	Lang-Trotter revisited, and lower bounds for Frobenius traces
03:00PM - 04:00PM	Afternoon Tea
04:00PM - 05:00PM	Mark Kisin	Shimura varieties mod p (See Abstract)
Sunday June 29, 2008
08:30AM - 09:00AM	Coffee
09:00AM - 10:00AM	Marie-France Vigneras	A functor from smooth O_L-torsion representations to ( φ, Γ )-modules (See Abstract)
10:00AM - 10:30AM	Morning Break
10:30AM - 11:30AM	David Helm	On l-adic families of admissible representations of GL₂(Q_p) (See Abstract)
11:30AM - 02:00PM	Lunch
02:00PM - 03:00PM	William Stein	Kolyvagin's Approach to the Birch and Swinnerton-Dyer Conjecture (See Abstract)
03:00PM - 04:00PM	Afternoon Tea
04:00PM - 05:00PM	Benedict Gross	Ramification theory and nite subgroups of Lie groups (See Abstract)
Monday June 30, 2008
09:00AM - 10:00AM	Matthew Emerton	Level lowering for p-adic modular forms
10:00AM - 10:30AM	Morning Break
10:30AM - 11:30AM	Bjorn Poonen	Cohomological obstructions to rational points (See Abstract)
Tuesday July 1, 2008
09:00AM - 10:00AM	Frank Calegari	Towards a Torsion Jacquet-Langlands Correspondence for GL(2) (See Abstract)
10:00AM - 10:30AM	Morning Break
10:30AM - 11:30AM	Samit Dasgupta	Ribet's converse to Herbrand and the weak Gross-Stark conjecture (See Abstract)
11:30AM - 02:00PM	Lunch
02:00PM - 03:00PM	Joel Bellaiche	Non trivial extensions of p-adic Galois representations that are trivial at p (See Abstract)
03:00PM - 04:00PM	Afternoon Tea
04:00PM - 05:00PM	Loic Merel	Modular symbols for global fields (See Abstract)
07:00PM - 09:00PM	Banquet honoring Ken Ribet on his 60th Birthday (UCB Faculty club) Sign up by Wed June 25, 5pm PDT
Wednesday July 2, 2008
09:00AM - 10:00AM	Robert Coleman	Wide Open Spaces (See Abstract)
10:00AM - 10:30AM	Morning Break
10:30AM - 11:30AM	Elena Mantovan	Integral models for toroidal compactications of Shimura varieties (See Abstract)
11:30AM - 02:00PM	Lunch
02:00PM - 03:00PM	Matthew Baker	Torsion points on abelian varieties (See Abstract)
03:00PM - 04:00PM	Afternoon Tea

Currently Available Videos

Barry Mazur , Construction of abelian extensions following Ken Ribet June 28,2008, 09:10 AM to 10:10 AM
Kevin Buzzard , Ken Ribet and Fermat's Last Theorem June 28,2008, 10:30 AM to 11:30 AM
Nicholas Katz , Lang-Trotter revisited, and lower bounds for Frobenius traces June 28,2008, 02:00 PM to 03:00 PM
Mark Kisin , Shimura varieties mod p June 28,2008, 04:00 PM to 05:00 PM
Marie-France Vigneras , A functor from smooth OL-torsion representations to ( φ, Γ )-modules June 29,2008, 09:00 AM to 10:00 AM
David Helm , On l-adic families of admissible representations of GL2(Qp) June 29,2008, 10:30 AM to 11:30 AM
William Stein , Kolyvagin's Approach to the Birch and Swinnerton-Dyer Conjecture June 29,2008, 02:00 PM to 03:00 PM
Benedict Gross , Ramification theory and finite subgroups of Lie groups June 29,2008, 04:00 PM to 05:00 PM
Matthew Emerton , Level Lowering of p-adic Modular Forms June 30,2008, 09:00 AM to 10:00 AM
Bjorn Poonen , Cohomological Obstructions to Rational Points. June 30,2008, 10:30 AM to 11:30 AM
Frank Calegari , Towards a Torsion Jacquet_Langlands Correspondence for GL(2) July 1,2008, 09:00 AM to 10:00 AM
Samit Dasgupta , Ribet's Converse to Herbrand and the Weak Gross-Stark Conjecture. July 1,2008, 10:30 AM to 11:30 AM
Joel Bellaiche , Non Trival Extensions of p-adic Galois Representations that are Trival at p. July 1,2008, 02:00 PM to 03:00 PM
Loic Merel , Modular Symbols for Global Fields July 1,2008, 04:00 PM to 05:00 PM
Robert Coleman , Wide Open Spaces July 2,2008, 09:00 AM to 10:00 AM
Elena Mantovan , Integral Models for Toroidal Compactications of Shimura Varieties. July 2,2008, 10:30 AM to 11:30 AM
Matthew Baker , Torsion Points on Abelian Varieties July 2,2008, 02:00 PM to 03:00 PM

You can find videos of other workshops and events on our VMath - Streaming Video page.

For more information:
Questions about this workshop should be sent either by email to

447@msri.org

or by regular mail to:

CMI/MSRI Workshop: Modular Forms and Arithmetic Mathematical Sciences Research Institute 17 Gauss Way, Berkeley, CA 94720-5070. USA

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CMI/MSRI Workshop: Modular Forms and Arithmetic

Follow this link to read about the new U.S. visa requirements

Schedule

Saturday June 28, 2008

Sunday June 29, 2008

Monday June 30, 2008

Tuesday July 1, 2008

Wednesday July 2, 2008

Currently Available Videos