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In this course students will learn about Noetherian rings and modules, Hilbert basis theorem, Cayley-Hamilton theorem,...
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Online CourseAuthor: Prof. Steven Kleiman

Date Added: Oct 20, 2011 Date Modified: Oct 20, 2011

Peer Review for material titled "18.705 Commutative Algebra"

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The main aims of this seminar will be to go over the classification of surfaces (Enriques-Castelnuovo for characteristic...
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Online CourseAuthor: Prof. Abhinav Kumar

Date Added: Oct 20, 2011 Date Modified: Oct 20, 2011

Peer Review for material titled "18.727 Topics in Algebraic Geometry: Algebraic Surfaces"

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Double affine Hecke algebras (DAHA), also called Cherednik algebras, and their representations appear in many contexts:...
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Online CourseAuthor: Prof. Pavel Etingof

Date Added: Oct 20, 2011 Date Modified: Oct 20, 2011

Peer Review for material titled "18.735 Double Affine Hecke Algebras in Representation Theory, Combinatorics, Geometry, and Mathematical Physics"

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This course will give a detailed introduction to the theory of tensor categories and review some of its connections to other...
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Online CourseAuthor: Prof. Pavel Etingof

Date Added: Oct 20, 2011 Date Modified: Oct 20, 2011

Peer Review for material titled "18.769 Topics in Lie Theory: Tensor Categories"

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This course provides an elementary introduction to number theory with no algebraic prerequisites. Topics include primes,...
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Online CourseAuthor: Prof. Martin Olsson

Date Added: Oct 20, 2011 Date Modified: Oct 20, 2011

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This course is an introduction to analytic number theory, including the use of zeta functions and L-functions to prove...
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Online CourseAuthor: Prof. Kiran Kedlaya

Date Added: Oct 20, 2011 Date Modified: Oct 20, 2011

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This course is a first course in algebraic topology. The emphasis is on homology and cohomology theory, including cup...
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Online CourseAuthor: Dr. Tyler Lawson

Date Added: Oct 20, 2011 Date Modified: Oct 20, 2011

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In this second term of Algebraic Topology, the topics covered include fibrations, homotopy groups, the Hurewicz theorem,...
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Online CourseAuthor: Prof. Mark Behrens

Date Added: Oct 20, 2011 Date Modified: Oct 20, 2011

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The goal of this course is to describe some of the tools which enter into the proof of Sullivan's conjecture.

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Online CourseAuthor: Prof. Jacob Lurie

Date Added: Oct 20, 2011 Date Modified: Oct 20, 2011

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This course is an introduction to differential geometry. The course itself is mathematically rigorous, but still emphasizes...
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Online CourseAuthor: Prof. Paul Seidel

Date Added: Oct 20, 2011 Date Modified: Oct 20, 2011

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