Mathematical Physics and Harmonic Analysis Seminar

Date: September 1, 2017

Time: 3:00PM - 4:00PM

Location: BLOC 628

Speaker: Selim Sukhtaiev, Rice University

Title: The Maslov index and the spectra of second order elliptic operators

Abstract: In this talk I will discuss a formula relating the spectral flow of the one-parameter families of second order elliptic operators to the Maslov index, the topological invariant counting the signed number of conjugate points of certain paths of Lagrangian planes. In addition, I will present formulas expressing the Morse index, the number of negative eigenvalues, in terms of the Maslov index for several classes of second order differential operators. The talk is based on joint work with Yuri Latushkin.