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.
Read the final report (pdf)
Coordinates
- Date: December 1-5, 2009
Location: Clay Mathematics Institute (Cambridge, MA) (directions)
Mailing List
Projects
Video
The raw super-high-res HD video is here, and can be played with VLC: http://wstein.org/sagedays18/
Schedule
sagedays18_papers.zip -- a zip archive of 23 research papers that are highly relevant to these talks
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 stein-talk-the_bsd_conjecture.pdf |
3:10pm - 4:10pm |
Robert Miller: Computationally verifying BSD for individual curves |
4:20pm - 5:20pm |
Andrew Sutherland: Images of Galois representations associated to elliptic curveshttp://math.mit.edu/~drew/ImageOfGalois.pdf |
5:30pm - 6:00pm |
Project organization |
Wednesday Dec 2: Research Day
9:00am - 12:30pm |
Morning working sessions |
11:00am - 12:00am |
Intro to Sage (linear algebra) http://sagenb.org/home/pub/1196/ Days 18 Linalg Demo.sws |
12:30pm - 2:00pm |
Lunch |
2:00pm - 3:00pm |
William Stein: Computing Kolyvagin classes stein-talk-computing_kolyvagin_classes.pdf and 389a-demo.pdf |
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 |
10:00am |
David Roe: Tate's algorithm over number fields (informal tutorial) |
11:00am |
Robert Miller: 2-descent in Sage (informal tutorial) |
12:30pm - 2:00pm |
Lunch |
2:00pm - 3:00pm |
Karl Rubin: Kolyvagin systems and refined class number formulas. Reading list: this new paper. |
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 |
11am |
Computing images of Galois representations (informal tutorial, Drew Sutherland and William Stein); See http://sagenb.org/home/pub/1205/ |
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. Reading list: research apper |
4:20pm - 5:20pm |
Matthew Greenberg: Fundamental domains for Shimura curves and computation of Stark-Heegner points :slides -- greenberg.pdf |
5:30pm - 6:00pm |
Project status reports (final wrap up) |
Saturday Dec 5: Sage Education Day
(See Education Day wiki page for more stuff.)
9:00am - 9:30am |
Registration |
9:30am - 9:45am |
Introduction and announcements |
9:45am - 10:30am |
Karl Crisman: Using Sage in the classroom http://sagenb.org/home/pub/1212 |
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 Beezer, Group Theory |
Organizing Committee
- Craig Citro
- Kiran Kedlaya
- Barry Mazur
- William Stein (chair)
All sessions are open to the public. Funding is mostly limited to invited participants; however, if you just found out about this meeting and want to participate, contact Kiran Kedlaya and we'll see what we can do.
On December 5, we also plan to hold the first Sage Education Day, coordinated by Karl-Dieter Crisman and Nathan Carter.
Registered Participants
- Avner Ash
- Salman Baig
- Jen Balakrishnan
- Thomas Barnet-Lamb
- Joël Bellaïche
- Robert Bradshaw
- Mirela Ciperiani
- Victoria Dequehen
- 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