
Gus Lehrer
University of Sydney
The topology of the variety of regular semisimple elements of a
complex Lie algebra
Friday 22nd August, 12:0512:55pm,
Carslaw 373.
The regular semisimple elements form an open dense subvariety
g_{rs} of a complex Lie algebra (or group); for example in
type A, it is the space of matrices with distinct eigenvalues. This
variety is important in several contexts, including its role in the
"GrothendieckSpringer resolution", where one interpolates between it
and the nilpotent cone. I shall describe how the topology of
g_{rs} may be analysed in the classical cases by establishing
connections between it, configuration spaces and iterated loop spaces.
This is joint work with Graeme Segal.







