b-Lab Diary of a confinement: Joaquim Brugués

In these days of confinement, work in the lab has not stopped! We are having talks by videoconference, both by members of the lab and by guests.

If a talk interests you and you wish to listen to attend, or if you have a proposal for these talks, please contact the organizer: eva.miranda@upc.edu.

This talk can be followed directly in the following link: https://stream.meet.google.com/u/1/stream/0cb9fe9a-6248-4b8d-86a4-e12cf4ce16d5

The Euler class of b-tangent bundles

Speaker: Joaquim Brugués

When: Friday 26th of June, at 17:00 - 18:00.

Abstract: The Euler class is a basic tool to understand the topology of orientable vector bundles, in particular it aims to measure how "twisted" any given bundle is. In the particular case of the tangent bundle to a manifold, the Poincaré-Hopf theorem relates this construction to the topology of the base manifold, yielding an index theorem.

In this talk we will review the definition of the Euler class and study a possible analogous to the Poincaré-Hopf theorem to b-tangent bundles.

Here you can find the slides used in this talk.