D-modules on singular varieties

Add to your list(s) Download to your calendar using vCal

• Haiping Yang, Imperial College London
• Friday 21 February 2020, 15:00-16:00
• CMS, MR13.

If you have a question about this talk, please contact Matthew Conder.

The category of D-modules on smooth varieties are well understood. In this talk, we work with a particular compact generator of the (derived) category of D-modules on a singular variety X. Hence we get a derived equivalence and we can view D-modules as DG-modules over a particular DG-algebra. In the case that the variety only consists of cuspidal singularities, we get an abelian Morita equivalence between D-modules on X and modules 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

This talk is part of the Junior Algebra and Number Theory seminar series.

This talk is included in these lists:

• All CMS events
• All Talks (aka the CURE list)
• CMS Events
• CMS, MR13
• DPMMS Lists
• DPMMS Pure Maths Seminar
• DPMMS info aggregator
• DPMMS lists
• Hanchen DaDaDash
• Interested Talks
• Junior Algebra and Number Theory seminar
• School of Physical Sciences
• bld31
• ndb35's list

Note that ex-directory lists are not shown.