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Jacob Lurie - Bezout's theorem and nonabelian homological algebra (Derived algebraic geometry)
Автор: Márton Vaitkus
Загружено: 2017-11-16
Просмотров: 13684
Описание:
An accessible lecture by Jacob Lurie from about 2005.
The motivations behind derived algebraic geometry are presented, starting with Bezout's theorem for intersections.
A generalization of algebraic geometry using derived (topological) coordinate rings -- where identifications (quotients by ideals of defining equations) are carried out "topologically" -- allows for the proper handling of non-transversal intersections, justifying Serre's otherwise mysterious formula.
See also the paper:
http://www.math.harvard.edu/~lurie/pa...
And the book:
http://www.math.harvard.edu/~lurie/pa...
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