[31/10/2019] Σεμινάριο Άλγεβρας, Ειρήνη Χαυλή (Stuttgart), Complex reflection groups, braid groups, and Hecke algebras

Πέμπτη, 31 Οκτωβρίου 2019, 10:15-11:00, Αίθουσα Μ2

Ομιλητής: Ειρήνη Χαυλή, Πανεπιστήμιο Στουτγκάρδης

Τίτλος: Complex reflection groups, braid groups, and Hecke algebras

Περίληψη: Two decades ago, Broué, Malle and Rouquier published a paper in which they associated to every complex reflection group two objects which were classically associated to real reflection groups: a braid group and a Hecke algebra. Their work was further motivated by the theory, developed together with Michel, of “Spetses”, which are objects that generalise finite reductive groups in the sense that their associated Weyl groups are complex reflection groups. In this talk we explain these two objects and we willfocus on the properties and representation theory of the Hecke algebras.