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SUMMARY:D-modules on singular varieties - Haiping Yang\, Imperial College 
 London
DTSTART:20200221T150000Z
DTEND:20200221T160000Z
UID:TALK137497@talks.cam.ac.uk
CONTACT:Matthew Conder
DESCRIPTION:The category of D-modules on smooth varieties are well underst
 ood. In this talk\, we work with a particular compact generator of the (de
 rived) category of D-modules on a singular variety X. Hence we get a deriv
 ed equivalence and we can view D-modules as DG-modules over a particular D
 G-algebra. In the case that the variety only consists of cuspidal singular
 ities\, we get an abelian Morita equivalence between D-modules on X and mo
 dules over the sheaf of differential operators Diff(X). From this\, there 
 is a certain cohomology sheaf on X which is non-vanishing if and only if X
  is smooth or cuspidal. Hence\, to a certain extent\, we can ‘detect’ 
 the singularity of X by looking at this
LOCATION:CMS\, MR13
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