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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.

Coordinates

Date: December 1-5, 2009
Location: Clay Mathematics Institute (Cambridge, MA) (directions)

Mailing List

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

Projects

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: 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 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

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-= Sage Days ??: Cambridge, MA =
+= Sage Days 18: Computations related to the Birch-Swinnerton-Dyer Conjecture =
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-KiranSKedlaya would like to hold a Sage Days in Cambridge sometime during fall 2009. Dates will not be announced until sometime late in the spring. (Possible hosting locations include: Harvard, MIT, Clay Math Institute, Microsoft Research.) If you would like to help organize this, let me know.
+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]].

== Coordinates ==
  
 Date: December 1-5, 2009

 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]]

== 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:  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 [[attachment:beezer-2009-sageedu1-group-theory.pdf|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 [[KiranSKedlaya|Kiran Kedlaya]] and we'll see what we can do.

On December 5, we also plan to hold the first [[education1|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

Diff for "dayscambridge2"