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Math 8390: Topics in Mathematical Physics

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Fall 2001

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School of Mathematics

University of Minnesota

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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

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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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.