Saturday, June 11, 2016

Triviality of vector bundles with connections on simply connected varieties

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I would like to discuss today a beautiful theorem of Grothendieck concerning differential equations. It was mentioned by Yves André in a won...
Thursday, May 5, 2016

Bourbaki and Felix Klein

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A colleague just sent me Xerox copies of a few pages of a 1899 biography of the général Bourbaki . Its author, François Bournand, was the pr...
Friday, April 29, 2016

Roth's theorems

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A few days ago,  The Scotsman published a paper about Klaus Roth's legacy, explaining how he donated his fortune (1 million pounds) to ...
Wednesday, April 13, 2016

Weierstrass's approximation theorem

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I had to mentor an Agrégation leçon entitled Examples of dense subsets. For my own edification (and that of the masses), I want to try to r...
4 comments :
Wednesday, February 24, 2016

Sound and color

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Just back home from The Stone where I could hear two very interesting sets with pianist Russ Lossing and drummer Gerry Hemingway , first i...
Tuesday, February 9, 2016

Happy New Year!

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As was apparently first noticed by Noam Elkies , 2016 is the cardinality of the general linear group over the field with 7 elements, $G=\mat...
1 comment :
Monday, January 4, 2016

Model theory and algebraic geometry, 5 — Algebraic differential equations from coverings

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In this final post of this series, I return to elimination of imaginaries in DCF and explain the main theorem from Tom Scanlon's paper A...