Mathematical Sciences Research Institute - Summer Graduate Workshop in Computational Number Theory

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

Currently Available Videos

David Kohel, Quaternion Algebras: Lecture 2 August 1,2006, 10:00 AM to 11:00 AM
Lassina Dembele, Hilbert Modular Forms: Lecture 1 August 1,2006, 11:00 AM to 12:00 PM
Gabor Wiese, Modular Forms modulo p: Lecture 1 August 1,2006, 02:00 PM to 03:00 PM
Paul Gunnells, Modular Forms on Higher Rank Groups: Lecture 4 August 10,2006, 10:00 AM to 11:00 AM
William Stein, Classical Modular Forms: Lecture 2 August 2,2006, 10:00 AM to 11:00 AM
Gabor Wiese, Modular Forms Modulo p: Lecture 2 August 2,2006, 11:00 AM to 12:00 PM
David Kohel, Quaternion Algebras: Lecture 3 August 2,2006, 02:00 PM to 03:00 PM
William Stein, Classical Modular Forms: Lecture 3 August 3,2006, 10:00 AM to 11:00 AM
Gabor Wiese, Modular Forms Modulo p: Lecture 3 August 3,2006, 11:00 AM to 12:00 PM
Jonathan Hanke, Introduction to Quadratic Forms and Modular Forms August 3,2006, 02:00 PM to 03:00 PM
David Kohel, Quaternion Algebras: Lecture 4 August 4,2006, 10:00 AM to 11:00 AM
Gabor Wiese, Modular Forms Modulo p: Lecture 4 August 4,2006, 11:00 AM to 12:00 PM
Paul Gunnells, Modular Forms on Higher Rank Groups: Lecture 1 August 7,2006, 10:00 AM to 11:00 AM
Lassina Dembele, Hilbert Modular Forms: Lecture 2 August 7,2006, 11:00 AM to 12:00 PM
William Stein, Classical Modular Forms: Lecture 4 August 7,2006, 02:00 PM to 03:00 PM
Paul Gunnells, Modular Forms on Higher Rank Groups: Lecture 2 August 8,2006, 10:00 AM to 11:00 AM
Lassina Dembele, Hilbert Modular Forms: Lecture 3 August 8,2006, 11:00 AM to 12:00 PM
Nathan Ryan, Computing with Siegel Modular Forms August 8,2006, 02:00 PM to 03:00 PM
Paul Gunnells, Modular Forms on Higher Rank Groups: Lecture 3 August 9,2006, 10:00 AM to 11:00 AM
Lassina Dembele, Hilbert Modular Forms: Lecture 4 August 9,2006, 11:00 AM to 12:00 PM
William Stein, Classical Modular Forms: Lecture 1 July 31,2006, 10:00 AM to 11:00 AM
David Kohel, Quaternion Algebras: Lecture 1 July 31,2006, 11:00 AM to 12:00 PM

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

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