Magnus Landstad: Quantum groups from almost matched pairs of groups - the groupoid approach

Magnus Landstad will give a talk with title: Quantum groups from almost matched pairs of groups - the groupoid approach

Abstract: If G is a locally compact group with two closed subgroups H,K s.t. G=HK, then (H,K) is called a matched pair of subgroups. The construction of a quantum group from such a pair goes back a long time. We shall look at the more general case where the subgroups are almost matched (the complement of HK in G has measure 0), then a groupoid approach to the construction is very useful and many formulas are obtained for free.

I shall start with explaining the concepts needed (quantum groups, groupoids, etc) and then how the groupoid is constructed. Finally we shall look at the special case where G has a compact open subgroup.

This is joint work with A. Van Daele.