Math 8390: Topics in Mathematical Physics

Fall 2001

School of Mathematics
University of Minnesota

o Lecturer: Sasha Voronov

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

o Room: VinH 206

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

o Course announcement

o News and Announcements

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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This material is based upon work supported by the National Science Foundation (NSF) under Grant No. DMS-9971434. Any opinions, findings and conclusions or recommendations expressed in this material are those of the author and do not necessarily reflect the views of the NSF. The contents of this page have not been reviewed or approved by the University of Minnesota.