Quantum multiplicative hypertoric varieties at a root of unityAlgebra & Discrete Mathematics
|Speaker:||Iordan Ganev, UT Austin|
|Start time:||Mon, Feb 2 2015, 5:10PM|
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.