Ordered Basis for vector space groupoidsMPIM

by Alfonso Garmendia (MPIM/CRM Barcelona)

Monday Jun 2, 2025, 2:40 PM → 2:55 PM Europe/Berlin

MPIM, Vivatsgasse, 7 - Lecture Hall (Max Planck Institute for Mathematics)

MPIM Topology Seminar

On vector spaces with an inner product, complex structure or symplectic form, it is possible to find ordered basis that adapted to those structures. It was not clear which basis one should choose for a vector space with a groupoid structure. In my work with Francesco Cattafi we choose some class of ordered basis, we proved this class is again a  groupoid, the matrices changing two such ordered basis has also a groupoid structure and generalize it for vector bundle groupoids.