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Introductory Workshop: Homology Theories of Knots and Links |
| January 25, 2010 to January 29, 2010 |
| Organized By: Aaron Lauda (Columbia University), Robert Lipshitz (Columbia University), Dylan Thurston* (Columbia University). |
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| Parent Programs: |
| Homology Theories of Knots and Links |
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| Return to Workshop Description |
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Diagrammatic categorification of quantum groups II
Friday January 29, 2010
09:30AM - 10:30AM
Speakers:
Aaron Lauda
Abstract:
I'll explain joint work with Mikhail Khovanov on a categorification of one-half of the quantum universal enveloping algebra associated to a Kac-Moody algebra. This categorification is obtained from the graded representation category of certain graded algebra that can be defined using a graphical calculus. Certain finite-dimensional quotients of these graded algebras give categorifications of irreducible representations of the quantum enveloping algebra. Extensions of these rings are used in Webster's recent work categorifying Reshetikhin-Turaev tangle invariants.
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