The homology of Hilbert schemes of a locally planar curve

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

• Jorgen Vold Rennemo (Imperial College)
• Wednesday 23 October 2013, 14:15-15:15
• MR 13, CMS.

If you have a question about this talk, please contact Dr. J Ross.

We let C be a reduced and irreducible curve with locally planar singularities, and we consider its Hilbert schemes of points C^{. On the homology groups of these Hilbert schemes we will describe an action of a certain Heisenberg algebra, similar to the action constructed by Grojnowski and Nakajima for Hilbert schemes of smooth surfaces.}

As a corollary to the existence of this action we can express the homology groups of C[n] in terms of the homology of the compactified Jacobian of C. This recovers and slightly strenghtens a formula recently obtained in a different way by Maulik and Yun and independently Migliorini and Shende.

This talk is part of the Algebraic Geometry Seminar series.

This talk is included in these lists:

• Algebraic Geometry Seminar
• All CMS events
• All Talks (aka the CURE list)
• CMS Events
• DPMMS Lists
• DPMMS Pure Maths Seminar
• DPMMS info aggregator
• DPMMS lists
• Hanchen DaDaDash
• Interested Talks
• MR 13, CMS
• School of Physical Sciences
• bld31

Note that ex-directory lists are not shown.