Generating functionals on quantum groups

Seminar
Speaker
Dr. Ami Viselter, University of Haifa
Date
17/06/2019 - 15:40 - 14:00Add to Calendar 2019-06-17 14:00:00 2019-06-17 15:40:00 Generating functionals on quantum groups We will discuss generating functionals on locally compact quantum groups. One type of examples comes from probability: the family of distributions of a L\'evy process form a convolution semigroup, which in turn admits a natural generating functional. Another type of examples comes from (locally compact) group theory, involving semigroups of positive-definite functions and conditionally negative-definite functions, which provide important information about the group's geometry. We will explain how these notions are related and how all this extends to the quantum world; see how generating functionals may be (re)constructed and study their domains; and indicate how our results can be used to study cocycles. Based on joint work with Adam Skalski. 2nd floor Colloquium Room, Building 216 אוניברסיטת בר-אילן - Department of Mathematics mathoffice@math.biu.ac.il Asia/Jerusalem public
Place
2nd floor Colloquium Room, Building 216
Abstract

We will discuss generating functionals on locally compact
quantum groups. One type of examples comes from probability: the family
of distributions of a L\'evy process form a convolution semigroup,
which in turn admits a natural generating functional. Another type
of examples comes from (locally compact) group theory, involving semigroups
of positive-definite functions and conditionally negative-definite
functions, which provide important information about the group's geometry.
We will explain how these notions are related and how all this extends
to the quantum world; see how generating functionals may be (re)constructed
and study their domains; and indicate how our results can be used
to study cocycles. Based on joint work with Adam Skalski.

Last Updated Date : 18/06/2019