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Andrea Serio: Two optimization problems on Quantum Graphs

Tid: Fr 2018-11-23 kl 13.00 - 14.00

Plats: Room 34, building 5, Kräftriket, Department of Mathematics, Stockholm University 

Medverkande: Andrea Serio

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Abstract:
Quantum Graphs are Schrödinger operators defined on metric graphs that can be seen as a set of distinct real intervals joined together by coupling conditions, we choose such conditions in order to make the operator self adjoint. If the graph is finite and compact then the operators have discrete spectrum. We will see two optimization problems
for the eigenvalues involving the topology of the graph and/or some parameters describing the coupling conditions.