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Quantum multiplicative hypertoric varieties at a root of unity
Algebra & Discrete Mathematics| Speaker: | Iordan Ganev, UT Austin |
| Related Webpage: | http://www.ma.utexas.edu/users/iganev/ |
| Location: | 2112 MSB |
| Start time: | Mon, Feb 2 2015, 5:10PM |
Description
Hypertoric varieties are hyperkahler analogues of toric
varieties related to symplectic resolutions, hyperplane arrangements,
and
geometric representation theory. We construct quantizations, depending
on
a parameter q, of multiplicative hypertoric varieties using an algebra
of
difference operators on affine space. Furthermore, when q is a root of
unity, we show that the quantization acquires a large center and defines
a
matrix bundle (i.e. Azumaya algebra) over the multiplicative hypertoric
variety.