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Events for September 1, 2017 from General and Seminar calendars

Mathematical Physics and Harmonic Analysis Seminar

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.

Algebra and Combinatorics Seminar

Time: 3:00PM - 3:50PM

Location: BLOC 506A

Speaker: Eric Rowell, Texas A&M University

Title: Organizational meeting

Geometry Seminar

Time: 4:00PM - 5:00PM

Location: BLOC 628

Speaker: E. Ventura, TAMU

Title: Catalecticants, antipolars, and ranks of forms

Abstract: The complex (or real) rank of a homogeneous polynomial is the smallest number of powers of complex (or real) linear forms such that the polynomial may be expressed as a linear combination of those. Such an expression is called a minimal Waring or symmetric decomposition. We will talk about real and complex ranks in the setting of bihomogeneous polynomials by the means of maps associated to them: catalecticants and antipolars. We will also explain how the latter ones are related to loci encoding information about minimal decompositions of these bihomogeneous polynomials.

Linear Analysis Seminar

Time: 4:00PM - 5:00PM

Location: BLOC 220

Speaker: Gilles Pisier, TAMU

Title: Completely Sidon sets in discrete groups

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