Department of Mathematics

# Functional Analysis and Mathematical Physics Interdepartmental Research Group (FAMP)

## Upcoming Colloquia

More to come in Fall 2019!

## Recent Colloquia

**Date and Time: **Friday, May 3, 2019 at 10am,

**Location: **Peters Business Building Room 428

**Speaker: **Jimmy Gonzalez, Master's Student, Department of Physics, California State University,
Fresno. Research Advisor: Marat V. Markin, Ph.D.

**Date and Time: **Friday, April 26, 2019 at 10am,

**Location: **Peters Business Building Room 428

**Speaker: **Dr. Vesselin G. Gueorguiev, Institute for Advanced Physical Studies, Bulgaria, Ronin
Institute for Independent Scholarship, USA.

**Date and Time: **Friday, March 29, at 10 AM

**Location: **PB 428

**Title: ***On the Non-hypercyclicity of Normal Operators and Collections of Their Exponentials*

**Speaker: **Edward Sichel

**Abstract: **Using a straightforward spectral approach, we demonstrate that, in complex Hilbert
spaces, normal operators as well as certain collections of their exponentials are *non-hypercyclic*.

**Date and Time: **Friday, March 22, at 10 AM

**Location: **PB 428

**Title: ***On the Chaoticity of Rolewicz-Type Operators on Function Spaces*

**Speaker: **John Jimenez

**Abstract: **We discuss examples of chaotic bounded linear operators on certain function spaces
similar to those originally found on sequence spaces by S. Rolewicz.

**Date and Time: **Friday, March 8, at 9 AM, and

Friday, March 15, at 10 AM

**Location: **PB 428

**Title: ***Geometry in Quantum Mechanics. Quantum Metric Tensor and Quantum Localization.*

**Speaker: **Ettore Vitali (Department of Physics)

**Abstract: **Two formidable challenges in Condensed Matter Physics are detecting metal-insulator
transitions in correlated materials and detecting unconventional superconducting phases.
We discuss a geometric approach, which relies on families of Hamiltonian operators
that depend on external parameters. The introduction of a suitable metric in the Hilbert
space of the system, different from the one generated by inner product, to describe
the change in wave functions as we move through the parameter space, naturally leads
to the definition of the quantum metric tensor. We show that this definition opens
the possibility to introduce a ground state expectation value that allows us to distinguish
between an insulator and a conductor, without the need of computing the excited states.
We also discuss the possible implications in the realm of the theory of unconventional
superconductors.

**Date and Time: **Friday, March 1, at 10 AM

**Location: **PB 428

**Title: ***On the Chaoticity of Rolewicz Type Unbounded Operators*

**Speaker: **Marat Markin

**Abstract: **We discuss the concepts of *hypercyclicity* and *chaoticity* of linear operators, central for modern and rapidly developing theory of linear dynamical
systems, and provide a natural unbounded generalization of the classical Rolewicz's
weighted backward shift chaotic bounded linear operators.