For more information about this meeting, contact Jason Morton.
| Title: | Categorifying quantum groups using planar diagrammatics |
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| Seminar: | Applied Algebra Seminar |
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| Speaker: | Aaron Lauda, USC |
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| Abstract Link: | http://www-bcf.usc.edu/~lauda/Aaron_Laudas_Page/Home.html |
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| Abstract: |
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| Geometric representation theory has a revealed a deep
connection between geometry and quantum groups suggesting that
quantum groups are shadows of richer algebraic structures called
categorified quantum groups. Crane and Frenkel conjectured that
these structures could be understood combinatorially and applied to
low-dimensional topology. In this lecture we will categorify quantum
groups using a simple diagrammatic calculus that requires no previous
knowledge of quantum groups. We will also survey the applications
of this theory to representation theory and low-dimensional topology.
(Joint with Mikhail Khovanov) |
Room Reservation Information
| Room Number: | MB106 |
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| Date: | 03 / 21 / 2012 |
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| Time: | 02:30pm - 03:20pm |
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