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«Mais où sont les neiges d'antan?»
        François Villon 


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The profession of a mathematician is full of adventures, but these are not so easy to tell, so this part of the site will be quite bland.

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NEW!!
(september 2011) My book «arithmétique» has been translated to English and published by Springer.
Many thanks to Sarah Carr who translated the whole book.

See the announcement and read the book online on Springer's website

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(september 2010). Find online the notes (PDF in English) of a mini-course «Introduction to zeta and L functions from arithmetic geometry and some applications», this is a five hours course I gave during the XXIth Escola de Algebra held in Brasilia during July 2010.
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(Slightly less) recent news (sic).

My latest mathematical conferences  :

- "Sobre o tamanho dos geradores do grupo de Mordell--Weil de uma variedade abeliana"   18 August 2010 at IMPA,  Rio.
- "Analogs of Brauer-Siegel theorem for abelian varieties", King's College, London UK, 2 june 2010.
- "Analogs of Brauer-Siegel theorem for abelian varieties over functions fields", Roma, Italy, 14 may 2010.
- "Torsion points of abelian varieties over function fields", IMB Bordeaux, Sakura workshop, 25-29 january 2010 (4 talks with Amílcar Pacheco).
- "Sur les invariants arithmétiques des variétés abéliennes et un analogue du théorème de Brauer-Siegel pour icelles, séminaire SAGA (Orsay), 15 december 2009.
- "Analogs of the Brauer-Siegel theorem for abelian varieties over global fields", University College Dublin, Irlande, 4 november 2009.
- "Uma breve viagem no mundo das curvas elíticas", UFRJ, Rio, Brazil, 4 september 2009.
- " Análogos do teorema de Brauer-Siegel para variedades abelianas, (Encontro de Matem
ática Brasil-França) Impa, Rio, Brazil, 8 september 2009.
- "Torsion points on abelian variety with generic Mumford-Tate group", Poznan, Poland, 9 juin 2009.
- "An analog of the Brauer-Siegel theorem for abelian varieties in positive characteristic", Stellenbosch, South Africa, april 2009.
- "A brief journey through the world of elliptic curves", AIMS South Africa, april 2009.
- " Points de torsion sur les variétés abéliennes et groupe de Mumford-Tate, University of  Saint-Etienne, 18 march 2009.
- "Introduction à l'hyperbolicité en arithmétique", 2 etalks at the university of Orsay, january 2009.
"Points de torsion sur les variétés abéliennes de type GSp"  7 march 2008, at the séminaire de théorie des nombres de Bordeaux
(this talk describes a joint work with Nicolas Ratazzi)

-"An analog of the Brauer-Siegel theorem for abelian varieties in characteristic p",  during the Journées arithmétiques held at Edinburgh, Scotland in july 2007.
 

My book "Arithmétique" has just been published chez Calvage & Mounet  in the collection Tableau Noir (black board) (february 2008). It contains a last year undergraduate course (Master 1), completed by two chapters of introduction to current research themes (Master 2, or first year of graduate studies) .
[For those who don't have the means or desire to buy the book - what a pity! - I've left online the course notes with the same title, see the page  "teaching"]


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For memory : old news (sic)

Friday 18 november 2005
I will give a conference at the University of Bordeaux, at the Number Theory Seminar
"Sur un analogue pour les variétés abéliennes du théorème de Brauer-Siegel"

Thursday 24 november 2005
I will give a conference at the "Groupe d'étude sur les problèmes diophantiens" in our Institute of Mathematics.
"Pourquoi le groupe de Mordell-Weil est-il difficile à calculer?".

This is work in progress that was partially presented in june at Pisa (Italy) in the Diophantine Geometry semester at
Centro di Ricerca Matematica Ennio De Giorgi and in August in Paraty (Brasil) at the conference ``ALGA2005". The text is in preparation:
"Why is it difficult to compute the Mordell-Weil group?"  (File PDF  is available online).


 Mars 1st, 2006
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My text "La géométrie diophantienne, selon Serge Lang." is available format PDF; this text will appear (has appeared) in the
Gazette des mathématiciens (the French Mathematical Society Bulletin), in honour to Serge Lang.

Friday 7 april 2006
I will give a Colloquium talk at the university of Lille.

Talk "Heights on abelian varieties" at the university of Udine (Italy), may 2006.

A Colloquium talk "Points rationnels sur les variéetés algébriques, le legs de Serge Lang"
at the University  of Louvain-la-Neuve,  Belgium, 8 june 2006.


I've given two seminar talks in  Brazil, August 2006 :
"Lower bounds for canonical heights on algebraic groups, results and applications" at the XIX-th scola de algebra, which happened in Diamantina, Brazil, august 2006.
"Minoração de altura canonica sobre curvas eliticas" at IMPA,  Rio de Janeiro,  10 august 2006.
and a divulgation talk "numeros primos, problemas antigos e modernos" at the Universidade Rural de Pernambuco, Recife.

Talk "Arithmétique des variétés abéliennes, le rôle des minorations de hauteur",  at CIRM,  on 7 october 2006.

Talk "Points rationnels sur les variétés" at the "Ecole doctorale" of the university of  Bordeaux, 18 october 2006.







Black is the Color Inc - Octobre 2005