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= Sage Days 18: Cambridge, MA = = Sage Days 18: Computations related to the Birch-Swinnerton-Dyer Conjecture =
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Dates: December 1-5, 2009 There is an [[http://www.claymath.org/workshops/sage/|Official Clay Mathematics Institute Page]] for this workshop among their [[http://claymath.org/programs/cmiworkshops/|list of workshops]].
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Location: Clay Mathematics Institute (Cambridge, MA) Read the [[attachment:report.pdf|final report (pdf)]]
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Topic: Computations related to the Birch-Swinnerton-Dyer Conjecture == Coordinates ==
  
 Date: December 1-5, 2009
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Organizing Committee:  Location: Clay Mathematics Institute (Cambridge, MA) ([[http://www.claymath.org/visitors/|directions]])

== Mailing List ==

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

== Projects ==

 * [[/sprints|Coding sprint projects]]
 * [[/edu|Education projects]]

== Video ==

 * The raw super-high-res HD video is here, and can be played with VLC: http://wstein.org/sagedays18/

== Schedule ==

 [[http://wstein.org/misc/sagedays18_papers.zip|sagedays18_papers.zip -- a zip archive of 23 research papers that are highly relevant to these talks]]

 [[http://wstein.org/misc/sagedays18_papers/|Browse the above zip archive of papers]]

=== 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 [[attachment: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 curves[[http://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/ [[attachment:Days 18 Linalg Demo.sws]]||
||12:30pm - 2:00pm||Lunch||
|| 2:00pm - 3:00pm||William Stein: Computing Kolyvagin classes [[attachment:stein-talk-computing_kolyvagin_classes.pdf]] and [[attachment: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: [[http://arxiv.org/abs/0909.3916|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: [[http://www.ma.utexas.edu/users/mirela/solvable.pdf|research apper]]||
|| 4:20pm - 5:20pm|| Matthew Greenberg: Fundamental domains for Shimura curves and computation of Stark-Heegner points [[attachment::slides -- greenberg.pdf]]||
|| 5:30pm - 6:00pm|| Project status reports (final wrap up)||
 
=== Saturday Dec 5: Sage Education Day ===
(See [[education1|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 [[attachment:beezer-2009-sageedu1-group-theory.pdf|Beezer, Group Theory]]||


== Organizing Committee ==
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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 [[KiranSKedlaya|Kiran Kedlaya]]. 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 [[KiranSKedlaya|Kiran Kedlaya]] and we'll see what we can do.
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On December 5, we also plan to hold a Sage Education Day, coordinated by Karl-Dieter Crisman. On December 5, we also plan to hold the first [[education1|Sage Education Day]], coordinated by Karl-Dieter Crisman and Nathan Carter.
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== 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

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

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: 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

dayscambridge2 (last edited 2009-12-30 04:26:22 by was)