Azumaya algebras from quantizations

Vortrag von Dr. Pavel Safronov

Datum: 25.02.19  Zeit: 13.15 - 14.45  Raum: Y27H25

Azumaya algebras form a particularly nice class of algebras whose properties are determined by that of their center. In this talk I will describe Azumaya algebras which arise from deformation quantization in positive characteristic or when the quantum parameter is a root of unity. In particular, I will show that the quantization of a character variety of a closed surface is Azumaya at a root of unity. This is joint work with Iordan Ganev and David Jordan.