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Schedule: Tuesdays & Thursdays 13-15 GMT-4Ā
Definitions & Introduction to Commutative Algebra
Roots of Commutative Algebra
Localization
Associated Primes and Primary Decomposition
Integral Dependence and The Nullstellensatz
Filtation and the Artin-Rees Lemma
Completions and Hensel's LemmaĀ
Dimension Theory
Modules of Differentials
Applications to Algebraic Geometry (Guest Speakers)
The course is evaluated with assignments (60%), seminars (10%) and a final exam (30%).
Applications are now closed
Lecture Notes
Guest Talk
Chiu-Chu Melissa LiuĀ [A-Model: Topological String Theory]
Yukinobu Toda [Gopakumar-Vafa Invariants]
Rachel Webb [GIT, Stacks, and Quasimap Theory]
Miles Reid [Advanced Topics]Ā
Alexander Givental [Quantum Riemann-Roch]
LITERATUREĀ
David Eisenbud, Commutative Algebra: with a View Toward Algebraic Geometry.
Michael Atiyah and Ian Grant Macdonald, Introduction To Commutative Algebra.
Miles Reid, Undergraduate Commutative Algebra.
Nicolas Bourbaki, Commutative Algebra: Chapters 1-7.
Jean-Pierre Serre, Local Algebra.
students
20 Students were accepted
We will publish the list of students who have successfully approved the course.
20 Students were accepted
We will publish the list of students who have successfully approved the course.
Guest SPEAKERs
Barbara Fantechi
SISSA
Alexander Givental
UC Berkeley
Chiu-Chu Melissa Liu
Columbia University
Miles Reid
University of Warwick
Yukinobu Toda
kavli IPMU, Univeristy of Tokyo
Rachel Webb
Cornell University
Teaching assistanTS
Christian Forero Pulido
SISSA
