Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg

 

Augsburger Mathematisches Kolloquium

 

Professor Dr. Delio Mugnolo
Fern Universität in Hagen

 
spricht am
 
Mittwoch, 14. Januar 2026
 
um
 
16:00 Uhr
 
im
 
Raum 2004 (L1)
 
über das Thema:
 

»Quantum graphs: from spectral geometry to heat geometry«

Abstract:
Metric graphs are networks obtained by gluing together intervals at their endpoints. Once a Laplacian is defined on such metric measure spaces, leading to the introduction of a so-called "quantum graph", it becomes natural to investigate its spectral properties. In this talk, I will give a gentle introduction to graph surgery techniques that provide bounds on eigenvalues in terms of combinatorial and geometric features. I will then turn to the heat kernel associated with the Laplacian, highlighting recent results on bounds for torsional rigidity and heat content.

 

Hierzu ergeht herzliche Einladung.
Prof. Dr. Jan-Frederik Pietschmann
 

Kaffee, Tee und Gebäck eine halbe Stunde vor Vortragsbeginn im Raum 2006 (L1).



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