University of Cambridge > Talks.cam > Differential Geometry and Topology Seminar > Homeomorphisms of contractible manifolds

  Browse A-Z

Log in

Googledetails Microsoftdetails

🔐 Log In

Information on

Subscribing to talksdetails Finding a talkdetails Adding a talkdetails Disseminating talksdetails Help and Documentationdetails

ℹī¸ Information

Homeomorphisms of contractible manifolds

Download to your calendar using vCal

  • UserOscar Randal-Williams (Cambridge)
  • ClockWednesday 22 May 2024, 16:00-17:00
  • HouseMR13.

If you have a question about this talk, please contact Oscar Randal-Williams .

A century ago, J. W. Alexander showed that the space of homeomorphisms of a disc (which are the identity near the boundary) is contractible, using an explicit radial deformation now known as the “Alexander trick”. I will explain recent joint work with Soren Galatius which shows that the same conclusion holds for all compact contractible manifolds of dimension at least 6. In this generality there can be no such explicit deformation, and the question must be approached more obliquely. Along the way, I will explain a new result on spaces of smooth embeddings of one-sided h-cobordisms into other manifolds.

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

This talk is included in these lists:

Note that ex-directory lists are not shown.

Other lists

Wolfson Lecture Theatre, Churchill College, Storey's Way, Cambridge CB3 0DS Institute of Metabolic Science (IMS), Level 4 ATC, Seminar rooms 1,2 & 3 McCrum Lecture Theatre, Benet's Street (behind the Eagle Pub)

Other talks

Title TBC Morning Break Title to be confirmed Title to be confirmed An Amphibious Urbanism | | Cut 4: The Desert Arrives Slowly Title to be confirmed
 

Š 2006-2025 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity