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CATEGORIES:Algebra Seminar
SUMMARY:Rational Cherednik algebras\, Hilbert schemes of p
oints and quantum Hamiltonian reduction - Toby Sta
fford\, University of Manchester
DTSTART:20100128T160000Z
DTEND:20100128T170000Z
UID:TALK262AT
URL:/talk/index/262
DESCRIPTION:Type _A_ Cherednik algebras _H_{c}_\, whic
h are particular deformations of the twisted group
ring of the _n_-th Weyl algebra by the symmetric
group _S_{n}_\, form an intriguing class o
f algebras with many interactions with other areas
of mathematics. A few years ago Gordon and I prov
ed a sort of Beilinson-Bernstein equivalence of ca
tegories\, thereby showing that _H_{c}_ (o
r more formally its spherical subalgebra _U_{c<
/sub>_) is a noncommutative deformation of the Hil
bert scheme Hilb(_n_) of _n_ points in the plane.
This has significant applications to the represent
ation theory of _Uc_ and _Hc
_.\n\nMore recently the three authors have shown h
ow to relate this to the notion of quantum Hamilto
nian reduction due to Gan and Ginzburg and this ag
ain has significant applications to the structure
of _Uc_-modules and their associated va
rieties.
LOCATION:Watson Building\, Lecture Room A
CONTACT:Simon Goodwin
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