[ 3 / biz / cgl / ck / diy / fa / ic / jp / lit / sci / vr / vt ] [ index / top / reports ] [ become a patron ] [ status ]
2023-11: Warosu is now out of extended maintenance.

/sci/ - Science & Math

View post   
File: 15 KB, 250x300, dieudonne.jpg [View same] [iqdb] [saucenao] [google]
9696242 No.9696242 [Reply] [Original]

Dieudonné's 5 year 'How to be a Mathematician, not a mathematician' plan (published as "A Letter from
Dieudonne")

>1st year (Elementary algebraic geometry)
Borel and Bass - Linear algebraic groups (first part)
Cartan-Chevalley Seminar 1955
Chevalley Seminar 1956 'Classification des groups algébriques'
Mumford - Introduction to algebraic geometry (chapter 1)
Semple and Roth's - Algebraic geometry
Serre - Faisceaux algébriques cohérents (cohomology parts)
Serre - Géométrie Algébrique et Géométrie Analytique
van der Waerden - Algebraische Geometrie

>2nd year
Borel and Bass - Linear algebraic groups (the rest)
Borel-Tits - Groupes réductifs
Serre - Groupes algébriques et corps de classes

>3rd year
Borel-Harishchandra - Arithmetic subgroups of algebraic groups
Borel - Introduction aux groupes arithmétiques
Weil - Adeles and algebraic groups
Seminaire Borel-Serre - Complex multiplication notes

>4th year
Mumford - Introduction to algebraic geometry (chapters 2-3)
Read Elements de géométrie algébrique until Mumford's 'Abelian varieties' makes sense
Mumford - Geometric invariant theory
Serre - Algèbre locale
Samuel Ergebnisse - Méthodes d'algèbre abstraite en géométrie algébrique

>5th year
Abelian varieties over finite fields, formal groups
Automorphic funtions, modular functions
Jacquet-Langlands theory
Algebraic geometry of surfaces
Advances theory of schemes (Grothendieck topologies, étale cohomology...)

>> No.9696625
File: 104 KB, 960x925, 10d.jpg [View same] [iqdb] [saucenao] [google]
9696625

"A Letter from Dieudonne" first result on Google shows the .PDF.
Interesting thx OP.
What's even more interesting is that Grothendieck solved problems on Functional Analysis that Dieudonné and Schwartz couldn't.

> Dieudonné writes [9]:-

>A general theory of duality for locally convex spaces had to be worked out: Schwartz and I had started its study for Fréchet spaces and their direct limits, but we had met a series of problems we could not solve. We therefore proposed them to Grothendieck, and the result turned out to exceed our most sanguine expectations. In less than a year, he had solved all our problems by very ingenious new constructions; then, with the techniques he had developed, he started to work on many other questions in functional analysis.

More here: http://www-history.mcs.st-andrews.ac.uk/Biographies/Grothendieck.html

>> No.9697507

bump

>> No.9697593

>>9696242
>that jaw

>> No.9697597

>>9697593
too masculine for you, s o yboy?

>> No.9699611
File: 45 KB, 650x500, 1493504422292.png [View same] [iqdb] [saucenao] [google]
9699611

>> No.9699640

>>9696242
>how to be a Mathematician
get gud