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

Mailing List

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

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