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The University of Southampton
Centre for Geometry, Topology, and Applications (CGTA)

CGTA distinguished lecture 2024: Prof David Gabai (Princeton) Event

Photo of David Gabai (c)Reina Gabai
Time:
15:00 - 16:00
Date:
10 June 2024
Venue:
Building 54 /4011 (Lecture Theatre 4A), Highfield Campus, University of Southampton

For more information regarding this event, please email Professor Jelena Grbic at j.grbic@soton.ac.uk .

Event details

With a great pleasure we will host Professor David Gabai (Princeton), speaking about "Light bulbs, barbells and diffeomorphisms of 4-manifolds".

Title : Light bulbs, barbells and diffeomorphisms of 4-manifolds

Abstract : We describe some very concrete 4-dimensional constructions and show how they lead to results in smooth 4-dimensional topology. In particular, we will describe the 4-dimensional light bulb theorem and a diffeomorphism of the 4-dimensional barbell. We apply the barbell map to construct knotted 3-balls in the 4-sphere and diffeomorphisms of hyperbolic 4-manifolds homotopic but not isotopic to the identity. Much of this is joint work with Ryan Budney.

Speaker information

David Gabai ,Princeton University, USA,Hughes-Rogers Professor of Mathematics at Princeton University, Oswald Veblen Prize laureate, fellow of the American Mathematical Society, member of the American Academy of Arts and Sciences, invited speaker in the International Congress of Mathematicians (Photo by Reina Gabai)

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