Gyration Stability for Projective Planes

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

• Sebastian Chenery (University of Southampton)
• Friday 21 June 2024, 13:45-14:15
• External.

If you have a question about this talk, please contact nobody.

TRHW02 - International Conference

Gyrations are operations on manifolds that arise in geometric topology, where a manifold M may exhibit multiple gyrations depending on the chosen “twisting.” A natural question arises: for a given M, do all gyrations share the same diffeomorphism, homeomorphism, or homotopy type regardless of the twisting? This property is known as gyration stability. Inspired by recent work by Duan, which demonstrated that the quaternionic projective plane is not gyration stable (with respect to diffeomorphism) by invoking spin structures, we will explore gyration stability of projective planes from the homotopy theoretic perspective. Our generalization provides new results and leads to a complete description of gyration stability for the complex, quaternionic, and octonionic projective planes. This is joint work with Stephen Theriault.

This talk is part of the Isaac Newton Institute Seminar Series series.

This talk is included in these lists:

• All CMS events
• External
• Featured lists
• INI info aggregator
• Isaac Newton Institute Seminar Series
• School of Physical Sciences
• bld31

Note that ex-directory lists are not shown.