I'm finishing up an undergrad degree in mathematics and am beginning to think about areas of research. I know that the work of Grothendieck is considered the cornerstone of modern algebraic geometry, and I'd like to get a deeper overview of the subject (the questions it asks, the methods it uses, etc.) and particularly of Grothendieck's contribution. All I can tell from reading several sources online is (1) Grothendieck is very general and abstract (defining points abstractly, etc.) (2) Grothendieck output is very large (~10,000 pages in total). (3) His work is scattered in several books and series, and much remains untranslated. Given these points, I can't find an angle to approach the subject (all sources seem to repeat the letters "EGA, SGA" as a mantra) that isn't either in French or difficult to find or both. Is there a good place to begin that would be suitable for an advanced undergrad? Or is there a standard "path" of subjects to study before learning French and tackling EGA?
closed as off-topic by Felipe Voloch, Alexey Ustinov, Mikhail Katz, Wolfgang, user9072 Feb 8 '16 at 9:50
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question does not appear to be about research level mathematics within the scope defined in the help center." – Felipe Voloch, Alexey Ustinov, Mikhail Katz, Wolfgang