Analysis and PDE seminar: Spring 2025
This is the page for the current semester of the seminars in Analysis and PDE at the University of Bergen. This semester seminars are held on Thursdays in the room Sigma or Hjørnet at 12.15 until 14.00.
Main content
Date | Speaker | Institution | Room | Title |
06.02.25 | René Langøen | UiB | Hjørnet | A Fourier Basis for the Klein Bottle, with Examples |
13.02.25 | Erlend Grong | UiB | Sigma | Canonical sub-Riemannian connections |
27.02.25 | Irina Markina | UiB | ||
13.03.25 | Francesco Ballerin | UiB | ||
27.03.25 | ||||
10.04.25 | Torunn Stavland Jensen | UiB | ||
24.04.25 | Sigmund Selberg | UiB | ||
08.05.25 | ||||
22.05.25 |
Detailed entries with abstracts
February 6th, René Langøen
Date and time: Thursday, February 6, at 12.15
Place: Hjørnet
Speaker: René Langøen, Phd. student @ Department of Mathematics, UiB
Title: A Fourier Basis for the Klein Bottle, with Examples
Abstract: TBA
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February 13th, Erlend Grong
Date and time: Thursday, February 6, at 12.15
Place: Sigma
Speaker: Erlend Grong, Associate Professor @ Department of Mathematics, UiB
Title: Canonical sub-Riemannian connections
Abstract:
The topic is sub-Riemannian manifold; manifolds where there we only have inner products defined in some of the directions.
The objective is to be able to determine if two such manifolds are the same, i.e. does or does there not exist an isometry between two different sub-Riemannian manifolds
Similar to the Levi-Civita connection, we discuss a canonical way of defining a Cartan connection on sub-Riemannian manifolds, which gives us a canonical choice of complement and affine connections. We present a new construction, which, unlike the earlier normalization condition of Morimoto, these new connections do not generate extra holonomy when considering general loops compared to horizontal loops.
These results are part of a preliminary work with Jan Slovak. Results are based on a previous work on chain complexes with Francesca Tripaldi.
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