Room 515, Cosmology Building, National Taiwan University + Cisco WebEx, Physical+Online Seminar
(實體+線上演講 台灣大學次震宇宙館515研討室+ Cisco WebEx)
Classification of Neighbourhoods Around Leaves of a Singular Foliation
Simon-Raphaël Fischer (NCTS)
Abstract
This talk is about my recent work with Camille Laurent-Gengoux. I will present our results about classifying singular foliations admitting a given leaf
in a manifold
and a given transverse model
%24&chf=bg,s,333333&chco=ffffff)
, where
is the fibre of a normal bundle of
in
, and
is a singular foliation in
admitting 0 as a leaf. Such a classification is motivated by the fact that every foliation
induces a singular foliation in the fibres of a normal bundle, the
%20foliation%7D&chf=bg,s,333333&chco=ffffff)
, and these transverse foliations at each point in
are canonically isomorphic. These isomorphisms are given by the parallel transport of what one calls
-connections.
The idea of this talk is to recover
given
, and we will see that in a local neighbourhood around
every foliation admitting
as transverse model is given by a certain infinite-dimensional principal bundle.
Meeting number (access code): 2514 282 6931
Meeting password: yyAn5reMW32
Organizers: Nicolau Sarquis Aiex (NTNU), Siao-Hao Guo (NTU), Chung-Jun Tsai (NTU)
