Hi,

Here are some slides from a talk Clement Pernet (Sage postdoc last
year, Linbox developer) recently gave in France, which mentions Sage
in a few places, and exactly linear algebra in many places:

http://membres-liglab.imag.fr/pernet/Publications/Dagstuhl09_pernet.pdf


---------- Forwarded message ----------
From: Clement Pernet <clement.per...@gmail.com>
Date: Mon, Nov 23, 2009 at 12:35 AM
Subject: Re: Talk on application from number theory
To: William Stein <wst...@gmail.com>


Hi William,

No pb. The talk did work fine. You can find the slides here:
http://membres-liglab.imag.fr/pernet/Publications/Dagstuhl09_pernet.pdf

I made a few slides to present Sage, mentionning the need to check the
sources if you want to prove anything with a Computer algebra system!

This is the second talk of this kind (general non-computer-algera
audience) that I  gave in the last 2 weeks (last one in Paris at the
institut Henri Poincarré), and each time people were very excited
about sage.

I met in Paris Thierry Dumont (who made the whole 1st, 2nd year of
Lyon university switch from maple to sage, and which seems to be a
great succes so far!

Cheers

Clément

William Stein a écrit :
>
> Sorry I didn't write back to you in time.  How did it go?
>
> On Mon, Nov 16, 2009 at 5:53 AM, Clement Pernet
> <clement.per...@gmail.com> wrote:
>>
>> Hi William,
>>
>> I'm preparing a talk for the Dagstuhl Seminar
>> http://www.dagstuhl.de/de/programm/kalender/semhp/?semnr=09471.
>> I'll focus on presenting a few applications, linked with mathematics
>> (theorem proving, testing conjectures...) where exact linear algebra plays a
>> crucial role.
>>
>> I'd like to mention your work in number theory, showing how your work on the
>> BSD conjecture boils down (among others) to doing efficient exact linalg.
>>
>> I planned to say something like
>> Conjecture -> need to build large tables of modular forms to experiment with
>> -> need to compute the action of Hecke operators on the space -> charpoly
>> mod p + linear system over Z -> algorithms -> implementations
>>
>> I would be extremely gratefull if you could correct this rough line of
>> reductions (in no way I plan to say that *everything* in number theory boils
>> down to linalg!), or point me to a summary of this part of your research.
>>
>> I'd also like to mention our work on HNF. Do you have a sort explanation on
>> where does is takes an important role in your research?
>>
>> Feel free to drive me to any other aspect that you would think is more
>> relevant.
>>
>> I also plan to present Sage in this talk, insisting on the ability for
>> mathematicians to check the code.
>>
>> Thanks for your help in this matter.
>> Best,
>>
>> Clément
>>
>>
>
>
>




-- 
William Stein
Associate Professor of Mathematics
University of Washington
http://wstein.org

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