![[Search]](/static/images/search.gif){kind=small}
![[A-Z Index]](/static/images/az.gif){kind=small}
![[Contact]](/static/images/contact.gif){kind=small}
![[University of Cambridge]](/static/images/identifier2.gif){kind=small}
![[Talks.cam]](/static/images/talkslogosmall.gif)
Manuel Krannich, Cambridge
Wednesday 14 November 2018, 16:00-17:00
Detecting exotic smooth structures in diffeomorphism groups
- đ¤ Speaker: Manuel Krannich, Cambridge
- đ Date & Time: Wednesday 14 November 2018, 16:00 - 17:00
- đ Venue: MR13
Abstract
The well-studied inertia group of a closed manifold M captures the behaviour of the diffeomorphism type of M when changing the smooth structure of M on a codimension zero disc; that is, when taking the connected sum M#S with an exotic sphere S. Instead of comparing their diffeomorphism types, one might try to compare the group of diffeomorphisms of M and M#S. However, homotopically, the space of diffeomorphisms Diff(M) decomposes as a twisted product whose factors are insensitive to replacing M with M#S. This suggests that it is hard to detect the possible exotic nature of M#S by means of homotopical properties of its group of diffeomorphisms. Using recent progress in manifold theory by Galatius and Randal-Williams, together with computations in stable homotopy theory, I will discuss results on the behaviour of the cohomology of BDiff(M) when replacing M with M#S.
Series This talk is part of the Differential Geometry and Topology Seminar series.
Included in Lists
- All CMS events
- All Talks (aka the CURE list)
- bld31
- CMS Events
- Differential Geometry and Topology Seminar
- DPMMS info aggregator
- DPMMS lists
- DPMMS Lists
- DPMMS Pure Maths Seminar
- Hanchen DaDaDash
- Interested Talks
- MR13
- School of Physical Sciences
Note: Ex-directory lists are not shown.