Date

April 27, Monday, 10:30--11:30, 2026

Place

Room 206, RIMS

Speaker

Leonid Ryvkin (Claude Bernard University Lyon 1)

Title

Tepui fibrations and singular vector bundles

Abstract

　 As a differential-geometric object, a tepui fibration is a type of singular fiber bundle with smooth base space and smooth fibers, however the fiber dimension might jump when moving from one base point to another. Tepui fibrations naturally turn up in differential geometry, when one is quotienting by a smooth family of symmetries, which degenerates at certain points, e.g. in the context of singular foliations. In this talk I will give an introduction to tepui fibrations and show how they provide a natural way to extend the classical Serre-Swan theorem beyond the setting of projective modules.
Based on joint work with Alfonso Garmendia and David Miyamoto, https://arxiv.org/pdf/2510.20936.