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The graph blow-up of manifolds with corners.

Jérémy Mougel (Georg-August-Universität Göttingen)
Mathematics seminar
Onsdag, 24 februar, 2021, at 15:00-16:00, The talk will be given on Zoom. Please, contact the organizers for more information.

The "Graph blow-up" is an object of differential geometry that we have introduced with B. Ammann and V. Nistor. Our main motivation was to study the N-body problem HOWEVER the graph blow-up can be studied as mathematical objects on itself. In this talk, I will describe on the construction of the graph blow-up which will give me the opportunity to present notions of differential geometries: manifolds (with corners) and the blow-up of these manifolds with respect to some "good" submanifolds. In particular, I will give a new proof of the commutativity of the blow-up. I will finish with a few words on how the graph blow-up is connected to the N-body problem and applications to obtain concrete results.

Organiseret af: Seminar of the Young Mathematicians of Aarhus
Kontaktperson: Benjamin Alvarez and Polyxeni Spilioti