Math 8390: Topics in Mathematical Physics

Fall 2001

School of Mathematics
University of Minnesota

Lecturer: Sasha Voronov

Time: MWF 12:20-1:10 p.m.

Room: VinH 206

Office Hours: Mon 2:30-3:30 p.m. and Wed 3:35-4:30 p.m. or by appointment (VinH 324)

Course announcement

News and Announcements

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Lecture 1: Tensor Categories [PDF], version of 09/09/01, 2:40 p.m.

Lecture 2: PROP's [PDF], version of 10/04/01, 3:30 p.m.

Lecture 3: Algebras over a PROP and CFT's [PDF], version of 10/14/10, 5:30 p.m.

Lecture 4: The Lie Bialgebra PROP [PDF], version of 10/18/10, 6:32 p.m.

Lecture 5: TFT's [PDF], version of 09/19/01, 2:30 p.m.

Lecture 6: Operads and Algebras over Them [PDF], version of 09/26/01, 12:00 p.m.

Lecture 7: More Operads and Algebras [PDF], version of 09/26/01, 12:07 p.m.

Lecture 8: Operads via Generators and Relations [PDF], version of 09/26/01, 2:30 p.m.

Lecture 9: A_infty-Algebras and the A_infty Operad [PDF], version of 11/12/01, 1:35 a.m.

Lecture 10: Moduli Spaces of Algebraic Curves of Genus Zero [PDF], version of 10/20/01, 9:00 p.m.

Lecture 11: Moduli Spaces: Arbitrary Genus [PDF], version of 10/22/01, 5:05 p.m.

Lecture 12: A Real Compactification of Moduli Spaces [PDF], version of 10/23/01, 1:15 p.m.

Lecture 13: The Fulton-MacPherson Compactification [PDF], missing figures, version of 11/09/01, 7:15 p.m.

Lecture 14: A Real Version of Fulton-MacPherson Compactification [PDF], version of 11/12/01, 12:05 p.m.

Lecture 15: TCFT's or String Backgrounds [PDF], under construction, updated 11/29/01, 5:15 p.m.

Lecture 16: Deformation Theory of Associative Algebras [PDF], version of 11/21/01, 12:05 p.m.

Lecture 17: Deformation Quantization [PDF], version of 11/28/01, 2:50 p.m.

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