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The combinatorial commutative algebra of conformal blocks
Algebra & Discrete Mathematics| Speaker: | Christopher Manon, University of California, Berkeley |
| Location: | 1147 MSB |
| Start time: | Thu, Feb 2 2012, 3:10PM |
Description
Vector spaces of conformal blocks are objects from
conformal field theory which have made surprising appearances
in several fields of mathematics. We will discuss the combinatorics
underlying the formulas for the dimensions of these spaces, and answer
some questions about a classical moduli space: the moduli of rank 2
parabolic vector bundles on a projective algebra curve. In particular, we
will use a polyhedral description of conformal blocks to construct
presentations for the coordinate rings of this space.