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SUMMARY:Singularities in nullcones of exceptional Lie algebras - Paul Levy
 \, Lancaster
DTSTART:20140219T150000Z
DTEND:20140219T160000Z
UID:TALK48657@talks.cam.ac.uk
CONTACT:David Stewart
DESCRIPTION:According to a famous result of Brieskorn and Slodowy\, the ge
 neric singularity of the nilpotent cone of a simple complex Lie algebra {\
 \mathfrak g} is a Kleinian singularity\, of a type exactly corresponding t
 o the type of {\\mathfrak g}. In a series of papers in the early 1980s\, K
 raft and Procesi extended this result to arbitrary nilpotent orbit closure
 s in classical simple Lie algebras. In particular\, they established equiv
 alences between singularities associated to various nilpotent orbits in cl
 assical Lie algebras\, expressed in terms of the combinatorial data attach
 ed to each orbit.\n\nThis talk will relate the results of a recent project
  determining generic singularities of nilpotent orbit closures in exceptio
 nal type Lie algebras. Our work has uncovered a number of isolated singula
 rities which do not occur in the classical types\, some of which explain n
 on-normality of certain nilpotent orbit closures. One of the singularities
  we obtain appears to be a new example of an isolated symplectic singulari
 ty.\n\nThis is joint work with Baohua Fu\, Daniel Juteau and Eric Sommers.
LOCATION:MR12
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