University of Cambridge > Talks.cam > Junior Geometry Seminar > Four Manifolds and two complexes with finite fundamental group

Four Manifolds and two complexes with finite fundamental group

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

  • UserJohnny Nicholson (UCL)
  • ClockFriday 01 March 2019, 16:00-17:00
  • HouseMR13.

If you have a question about this talk, please contact Nils Prigge.

In this talk, we will give an overview of various approaches to the classification of non-simply connected 4-manifolds using techniques from high-dimensional topology and the algebra of group rings. One approach is using a modified version of surgery theory, due to Kreck, to classify manifolds ‘stably’ up to connected sum with S2 x S2. This leaves us with the ‘unstable’ problem of cancelling the (S2 x S2)-summands, which we relate to the corresponding cancellation problems for 2-complexes up to wedging with S2 and Z[pi_1]-modules up to direct sum with a free module. We will report on recent progress on these cancellation problems, and on a related conjecture of C. T. C. Wall from the 1960s.

This talk is part of the Junior Geometry Seminar series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2019 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity