07-1352/Suggested Topics for Student Lectures - Revision history

Drorbn at 15:04, 20 March 2007

2007-03-20T15:04:31Z

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			\| <math>gl(1\|1)</math>
	\| ?
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	\|Siddarth		\|Siddarth
			\| The Melvin-Morton-Rozansky (ex-)Conjecture.
	\| ?
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	\|Zavosh		\|Zavosh

2007-03-06T19:15:13Z

2007-03-01T16:19:04Z

2007-02-27T20:08:33Z

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	{{07-1352/Navigation}}		{{07-1352/Navigation}}

	{{In Preparation}}
			{\|align=center cellspacing=0 border=1 cellpadding=3
			\|- align=center
			\|colspan=2\|'''The Choices'''
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			\|Karene
			\| ?
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			\|Siddarth
			\| ?
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			\|Zavosh
			\| ?
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			\|Zsuzsi
			\| ?
			\|}

	Students '''must''' choose their lecture topics in coordination with {{Dror}}, and the sooner this is done, the better.		Students '''must''' choose their lecture topics in coordination with {{Dror}}, and the sooner this is done, the better.

2007-02-06T18:34:46Z

← Older revision		Revision as of 14:34, 6 February 2007
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	* BF theories.		* BF theories.

			* Finite type invariants of other kinds of objects (Legendrian and transverse knots, planar curves, etc.).

			* Gropes and grope cobordism.

			* The Lie algebra <math>gl(1\|1)</math> and the Alexander polynomial.

			* Gauss diagram formulas.

			* Claspers and clovers.

			* The Kalfagianni - Lin papers on Seifert surfaces and Vassiliev invariants.

			* Rozansky-Witten theory.

			* A detailed study of <math>\mathcal A</math> following Kneissler.

			* Rozansky's rationality (ex-)conjecture.

			* "Detecting Knot Invertibility" following Kuperberg.

			* Multiple <math>\zeta</math>-numbers and the Drinfel'd associator.

			* "Uniqueness" of a well-behaved universal finite type invariant.

			* Finite type invariants ''not'' coming from Lie algebras, following Vogel and Lieberum.

			* The group of knots modulo <math>n</math>-equivalence.

			* Vogel's "universal Lie Algebra".

			* Anything else from {{Dror}}'s [http://www.math.toronto.edu/~drorbn/papers/EMP/ EMP paper].

	* Anything else from [http://www.pdmi.ras.ru/~duzhin/VasBib/ VasBib].		* Anything else from [http://www.pdmi.ras.ru/~duzhin/VasBib/ VasBib].

2007-02-06T16:34:32Z

← Older revision		Revision as of 12:34, 6 February 2007
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	{{07-1352/Navigation}}		{{07-1352/Navigation}}
	{{In Preparation}}		{{In Preparation}}

			Students '''must''' choose their lecture topics in coordination with {{Dror}}, and the sooner this is done, the better.

			* More on Chern-Simons theory, Feynman diagrams and configuration space integrals.

			* More on the Milnor Moore Theorem.

			* Explicit computations for torus knots, Hopf chains, etc.

			* Higher skein modules following Andersen and Turaev, {{arXiv\|math.GT/9812071}}.

			* Homotopy invariants of links.

			* Vassiliev invariants for braids.

			* Goussarov's "interdependent modifications".

			* The Melvin-Morton-Rozansky (ex-)Conjecture.

			* Finite type invariants of 3-manifolds.

			* The LMO invariant and the Århus integral.

			* Hutchings' step by step integration.

			* The exceptional Lie algebras and finite type invariants.

			* More on the self-linking number.

			* BF theories.

			* Anything else from [http://www.pdmi.ras.ru/~duzhin/VasBib/ VasBib].

			* Anything else from anywhere else.

2007-02-06T16:14:25Z

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