PIMS-USask Geometry, Algebra and Physics Seminar: Matthew Rupert

Unrolled quantum groups are a family of quantum algebras closely related to the non-restricted specialization of Drinfeld-Jimbo algebras at roots of unity. These quantum groups have played a pivotal role in the study of the Kazhdan-Lusztig correspondence, that is, the study of equivalences between module categories over quantum groups and logarithmic vertex operator algebras. In this talk I will introduce unrolled quantum groups, describe their role in the Kazhdan-Lusztig correspondence, and state some recent results.