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Summer Graduate School

Summer Graduate Workshop in Computational Number Theory July 31, 2006 - August 11, 2006
Organizers William Stein (University of Washington)
Lecturer(s) No Lecturers Assigned Yet.
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Description This workshop will concentrate on computing with modular forms, providing students with the necessary background in both the theoretical and computational aspects of the subject. The workshop will have both classical and p-adic and/or higher rank components. The instructors for the program are Lassina Dembele, Paul Gunnells, David Kohel, William Stein, and Gabor Wiese. For detail on the structure of this summer workshop, go to Computing with Modular Forms. The organizer is in the process of co-authoring a book with Paul Gunnells to be published for the American Math Society on exactly this topic: http://modular.math.washington..edu/edu/fall05/168/notes/modular_forms_book/ This book would play a key role in the workshop. The organizer wrote much of the software people use for modular forms computation, and is actively developing new software: http://modular.math.washington.edu/sage/ For detail on the scientific content and organization of the workshop go to Computing with Modular Forms Priority for this workshop is given to graduate students at MSRI Academic Sponsoring Institutions. If you are at one of these institutions, request your Director of Graduate Studies to nominate you. After these nominations are in, applicants will be considered for admission and possible funding, if such funding is still available. These considerations will take place before April 15, 2006. Schedule of the Talks Monday July 31 9:45 David Eisenbud, Opening Remarks 10:00 William Stein, Classical Modular Forms: Lecture 1 11:00 David Kohel, Quaternion Algebras: Lecture 1 2:00-4:00 Problem Overviews 4:00-6:00 Informal Software Tutorials Tuesday August 1 10:00 David Kohel, Quaternion Algebras: Lecture 2 11:00 Lassina Dembele, Hilbert Modular Forms: Lecture 1 2:00 Gabor Wiese, Modular Forms modulo p: Lecture 1 3:000-8:00 Coding Sprints / Problem Sessions (Pizza at MSRI) Wednesday August 2 10:00 William Stein, Classical Modular Forms: Lecture 2 11:00 Gabor Wiese, Modular Forms Modulo p: Lecture 2 2:00 David Kohel, Quaternion Algebras: Lecture 3 2:00-5:00 Informal Software Tutorials 5:00 Office Hours Thursday August 3 10:00 William Stein, Classical Modular Forms: Lecture 3 11:00 Gabor Wiese, Modular Forms Modulo p: Lecture 3 2:00-8:00 Coding Sprint / Problem Sessions (Pizza at MSRI) 5:00 Office Hours Friday August 4 10:00 David Kohel, Quaternion Algebras: Lecture 4 11:00 Gabor Wiese, Modular Forms Modulo p: Lecture 4 2:00-5:00 Coding / Problem Status Reports Monday August 7 10:00 Paul Gunnells, Modular Forms on Higher Rank Groups: Lecture 1 11:00 Lassina Dembele, Hilbert Modular Forms: Lecture 2 2:00 William Stein, Classical Modular Forms: Lecture 4 3:00-5:00 Informal Software Tutorials 5:00 Office Hours Tuesday August 8 10:00 Paul Gunnells, Modular Forms on Higher Rank Groups: Lecture 2 11:00 Lassina Dembele, Hilbert Modular Forms: Lecture 3 2:00-8:00 Coding Sprint / Problem Sessions (Pizza at MSRI) Wednesday August 9 10:00 Paul Gunnells, Modular Forms on Higher Rank Groups: Lecture 3 11:00 Lassina Dembele, Hilbert Modular Forms: Lecture 4 2:00-5:00 Coding / Problem Status Reports 5:00 Office Hours Thursday August 10 11:00 Paul Gunnells, Modular Forms on Higher Rank Groups: Lecture 4 2:00-8:00 Coding Sprint / Problem Sessions (Pizza at MSRI) Friday August 11 11:00 William Stein, What just happened? Afternoon Coding / Problem Status Reports

Schedule
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Jul 31, 2006
Monday
10:00 AM - 11:00 AM
  Classical Modular Forms: Lecture 1
William Stein (University of Washington)
11:00 AM - 12:00 PM
  Quaternion Algebras: Lecture 1
David Kohel
Aug 01, 2006
Tuesday
10:00 AM - 11:00 AM
  Quaternion Algebras: Lecture 2
David Kohel
11:00 AM - 12:00 PM
  Hilbert Modular Forms: Lecture 1
Lassina Dembele
02:00 PM - 03:00 PM
  Modular Forms modulo p: Lecture 1
Gabor Wiese
Aug 02, 2006
Wednesday
10:00 AM - 11:00 AM
  Classical Modular Forms: Lecture 2
William Stein (University of Washington)
11:00 AM - 12:00 PM
  Modular Forms Modulo p: Lecture 2
Gabor Wiese
02:00 PM - 03:00 PM
  Quaternion Algebras: Lecture 3
David Kohel
Aug 03, 2006
Thursday
10:00 AM - 11:00 AM
  Classical Modular Forms: Lecture 3
William Stein (University of Washington)
11:00 AM - 12:00 PM
  Modular Forms Modulo p: Lecture 3
Gabor Wiese
02:00 PM - 03:00 PM
  Introduction to Quadratic Forms and Modular Forms
Jonathan Hanke
Aug 04, 2006
Friday
10:00 AM - 11:00 AM
  Quaternion Algebras: Lecture 4
David Kohel
11:00 AM - 12:00 PM
  Modular Forms Modulo p: Lecture 4
Gabor Wiese
Aug 07, 2006
Monday
10:00 AM - 11:00 AM
  Modular Forms on Higher Rank Groups: Lecture 1
Paul Gunnells
11:00 AM - 12:00 PM
  Hilbert Modular Forms: Lecture 2
Lassina Dembele
02:00 PM - 03:00 PM
  Classical Modular Forms: Lecture 4
William Stein (University of Washington)
Aug 08, 2006
Tuesday
10:00 AM - 11:00 AM
  Modular Forms on Higher Rank Groups: Lecture 2
Paul Gunnells
11:00 AM - 12:00 PM
  Hilbert Modular Forms: Lecture 3
Lassina Dembele
02:00 PM - 03:00 PM
  Computing with Siegel Modular Forms
Nathan Ryan
Aug 09, 2006
Wednesday
10:00 AM - 11:00 AM
  Modular Forms on Higher Rank Groups: Lecture 3
Paul Gunnells
11:00 AM - 12:00 PM
  Hilbert Modular Forms: Lecture 4
Lassina Dembele
Aug 10, 2006
Thursday
10:00 AM - 11:00 AM
  Modular Forms on Higher Rank Groups: Lecture 4
Paul Gunnells