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Analysis and PDE
Weekly seminar of the Analysis and PDE group, highlighting internal members and guests alike.

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

DateSpeakerInstitutionRoomTitle
06.02.25René LangøenUiBHjørnetA Fourier Basis for the Klein Bottle, with Examples
13.02.25Erlend GrongUiBSigmaCanonical sub-Riemannian connections
27.02.25Irina MarkinaUiB  
13.03.25Francesco BallerinUiB  
27.03.25    
10.04.25Torunn Stavland JensenUiB  
24.04.25Sigmund SelbergUiB  
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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