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SUMMARY:Equidimensionality of characteristic varieties over Cherednik alge
 bras - Stafford\, JT (Manchester)
DTSTART:20090324T113000Z
DTEND:20090324T123000Z
UID:TALK17527@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:This talk will report on joint work with Victor Ginzburg and  
 Iain Gordon. \n\nType A Cheredink algebras H_c\, which are particular defo
 rmations of the twisted group ring of the n-th Weyl algebra by the symmetr
 ic group S_n\, form an intriguing class of algebras with many interactions
  with other areas of mathematics. In earlier work with Iain Gordon we used
  ideas from noncommutative geometry to prove a sort of Beilinson-Bernstein
  equivalence of categories\, thereby showing that H_c (or more formally it
 s spherical subalgebra U_c) is a noncommutative deformation of the Hilbert
  scheme Hilb(n) of n points in the plane. \n\nThere is however a second wa
 y of relating U_c to Hilbert schemes\, which uses the quantum Hamiltonian 
 reduction of Gan and Ginzburg. In the first part of the talk we will show 
 that these two methods are actually equivalent. In the second part of the 
 talk we will use this to prove that the characteristic varieties of irredu
 cible U_c-modules are equidimensional subshemes of Hilb(n)\, thereby answe
 ring a question from the original work with Gordon. 
LOCATION:Seminar Room 1\, Newton Institute
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