MIT Lie Groups Seminar
Wednesday, September 15, 2021 at 4:00pm
Building 2, Room: 2-142
182 MEMORIAL DR, Cambridge, MA 02139
Title: From braids to transverse slices in reductive groups
Abstract: We explain how group analogues of Slodowy slices arise by interpreting certain Weyl group elements as braids. Such slices originate from classical work by Steinberg on regular conjugacy classes, and different generalisations recently appeared in work by Sevostyanov on quantum group analogues of W-algebras and in work by He-Lusztig on Deligne-Lusztig varieties. Also building upon recent work of He-Nie, our perspective furnishes a common generalisation and a simple geometric criterion for Weyl group elements to yield strictly transverse slices.