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

Projects

Schedule

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: Education Day

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

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