Sage Days 18: Computations related to the Birch-Swinnerton-Dyer Conjecture

There is an Official Clay Mathematics Institute Page for this workshop among their list of workshops.

Coordinates

• Date: December 1-5, 2009 Location: Clay Mathematics Institute (Cambridge, MA)

Mailing List

• http://groups.google.com/group/sageday18

Schedule

Note that the swapping of Drew Sutherland and Matt Greenberg in the schedule below is not yet confirmed.

Tuesday Dec 1:   Research Day
 9:00am -  9:30am:  Registration
 9:30am - 12:30pm:  Morning working sessions
12:30pm -  2:00pm:  Lunch
 2:00pm -  3:00pm:  William Stein:  The Kolyvagin-Gross-Zagier Approach to the Birch and Swinnerton-Dyer Conjecture
 3:10pm -  4:10pm:  Robert Miller:  Computationally verifying BSD for individual curves
 4:20pm -  5:20pm:  Drew Sutherland:  Images of Galois representations associated to elliptic curves
 5:30pm -  6:00pm:  Project organization

Wednesday Dec 2: Research Day
 9:00am - 12:30pm:  Morning working sessions
12:30pm -  2:00pm:  Lunch
 2:00pm -  3:00pm:  William Stein:  Computing Kolyvagin classes
 3:10pm -  4:10pm:  Robert Bradshaw:  Computing motivic L-functions
 4:20pm -  5:20pm:  Salman Baig:  Elliptic curves over function fields
 5:30pm -  6:00pm:  Project status reports

Thursday Dec 3:  Research Day
 9:00am - 12:30pm:  Morning working sessions
12:30pm -  2:00pm:  Lunch
 2:00pm -  3:00pm:  Karl Rubin:  Kolyvagin systems and refined class number formulas
 3:10pm -  4:10pm:  Jared Weinstein:  Distribution of Kolyvagin classes
 4:20pm -  5:20pm:  Robert Pollack:  Computing p-adic L-functions
 5:30pm -  6:00pm:  Project status reports

Friday Dec 4:    Research Day
 9:00am - 12:30pm:  Morning working sessions
12:30pm -  2:00pm:  Lunch
 2:00pm -  3:00pm:  Dimitar Jetchev:  Equidistribution of Heegner points and ternary quadratic forms
 3:10pm -  4:10pm:  Mirela Ciperiani:  Solvable points and Kolyvagin's Euler system
 4:20pm -  5:20pm:  Matthew Greenberg:  Fundamental domains for Shimura curves and computation of Stark-Heegner points
 5:30pm -  6:00pm:  Project status reports (final wrap up)

Saturday Dec 5:  Education Day
 9:00am -  9:30am:  Registration
 9:30am -  9:45am:  Introduction and announcements
 9:45am - 10:30am:  Using Sage in the classroom
10:30am - 11:00am:  Math software capabilities: what is and isn't in Sage
11:00am - 11:10am:  Break
11:10am - 11:30am:  Introduction to Lurch (Lite)
11:30am - 11:50am:  Math and word processing: what works, what doesn't, and the state of Lurch and Sage
11:50am - 12:20am:  Sage for newbies: logistics, browsers, portability, where documentation really is, etc.
12:20pm -  1:30pm:  Lunch
 1:30pm -  2:30pm:  Session on undergraduate teaching with Sage

Organizing Committee

• Craig Citro
• Kiran Kedlaya
• Barry Mazur
• William Stein (chair)

The meeting will be open, but funding from CMI will most likely be limited to invited participants. We may have a bit of additional funding through MIT for other participants; contact Kiran Kedlaya.

On December 5, we also plan to hold the first Sage Education Day, coordinated by Karl-Dieter Crisman.

Registered Participants

• Avner Ash
• Salman Baig
• Jen Balakrishnan
• Thomas Barnet-Lamb
• Joël Bellaïche
• Robert Bradshaw
• Mirela Ciperiani
• Noam Elkies (unable to come)
• Cameron Franc
• Matt Greenberg
• Dick Gross
• David Harvey
• Dimitar Jetchev
• Kiran Kedlaya
• Robert Miller
• Victor Miller
• Robert Pollack
• Bjorn Poonen
• Jonathan Pottharst
• Ken Ribet
• David Roe
• Karl Rubin
• William Stein
• Glenn Stevens
• Andrew Sutherland
• John Tate
• Richard Taylor
• Jared Weinstein