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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

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

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
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 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

-  ⇤ ← Revision 6 as of 2009-10-14 00:11:30 → 
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+   ← Revision 43 as of 2009-12-30 04:26:22 → ⇥
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-Deletions are marked like this.
+Additions are marked like this.
 Line 1:
-= 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]].
 Line 5:
-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
-Line 9:
+Line 11:
-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 ==
-Line 15:
+Line 90:
-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.
-Line 17:
+Line 92:
-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.
-Line 19:
+Line 94:
+== 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

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