Mathematical Physics and Harmonic Analysis Seminar

Date: April 22, 2021

Time: 11:00AM - 12:00PM

Location: Zoom

Speaker: Mikael Sundqvist, Lund University

Title: Spectral flow for pair compatible equipartitions

Abstract: In this talk we discuss how a recent spectral flow approach, proposed by Berkolaiko–Cox–Marzuola for analyzing the nodal deficiency of the nodal partition associated to an eigenfunction, can be extended to more general partitions. To be more precise, we discuss how the method can be extended to spectral equipartitions that satisfy a pair compatible condition. Nodal partitions and spectral minimal partitions are examples of such partitions.

Based on joint work with Bernard Helffer.