Cohomology of Torelli groups

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

• Oscar Randal-Williams, Cambridge
• Wednesday 13 March 2019, 16:00-17:00
• MR13.

If you have a question about this talk, please contact Ivan Smith.

It is a basic problem in the cohomology of moduli spaces of Riemann surfaces to describe the cohomology of the Torelli group—-the subgroup of the mapping class group of those diffeomorphisms which act trivially on the first cohomology of the surface—-as a representation of Sp(2g, Z), at least in a stable range depending on the genus of the surface. This question can be generalised to higher dimensions by replacing the genus g surface with its analogue #^{g S}n x S^n. I will present joint work with Alexander Kupers in which we answer this question in dimensions at least 6. Our description is also valid in the classical case 2n=2 assuming a finiteness conjecture about the cohomology of this Torelli group.

This talk is part of the Differential Geometry and Topology Seminar series.

This talk is included in these lists:

• All CMS events
• All Talks (aka the CURE list)
• CMS Events
• DPMMS Lists
• DPMMS Pure Maths Seminar
• DPMMS info aggregator
• DPMMS lists
• Differential Geometry and Topology Seminar
• Hanchen DaDaDash
• Interested Talks
• MR13
• School of Physical Sciences
• bld31

Note that ex-directory lists are not shown.