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# Events for September 1, 2017 from General and Seminar calendars

## Mathematical Physics and Harmonic Analysis Seminar

**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

## Geometry Seminar

**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:** 3:00PM - 4:00PM

**Location:** BLOC 628

**Speaker:** Selim Sukhtaiev, Rice University

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

**Time:** 3:00PM - 3:50PM

**Location:** BLOC 506A

**Speaker:** Eric Rowell, Texas A&M University

**Title:** *Organizational meeting*

**Time:** 4:00PM - 5:00PM

**Location:** BLOC 628

**Speaker:** E. Ventura, TAMU

**Title:** *Catalecticants, antipolars, and ranks of forms*

**Time:** 4:00PM - 5:00PM

**Location:** BLOC 220

**Speaker:** Gilles Pisier, TAMU

**Title:** *Completely Sidon sets in discrete groups*

**URL:** *Link*