Harmonic Analysis Seminar
Abstract and additional information
Posted June 3, 2020
3:30 pm - 4:30 pm zoom link will be updated later
Gestur Olafsson, Mathematics Department, LSU
Toeplitz operators and representation theory III
We will discuss the basic ideas how representation theory can be used in the Theory of Toeplitz operators. We start with a general set up of a group acting on a complex manifold with a quasi-invariant measure such that there are non-trivial holomorphic L^2-functions and discuss how that leads to Toeplitz operators. We then introduce several examples. We then connect this to representation theory and explain how representation theory can be used to obtain commutative C^*-algebras of Toeplitz operators. Finally we describe how those ideas can be used to determine the spectrum of the so obtained C^*-algebra by constructing an isomorphism into a L^2-space which is easier to understand. The talks should be accessible to graduate students. We will at least use two seminar talks for the material. Most of this material is a joint work with M. Dawson and R. Quiroga.
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This exam is part of the PhD Qualifying Examination in Mathematics. Use this link for the registration form: Comprehensive Exam Registration
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This exam is part of the PhD Qualifying Examination in Mathematics. Use this link for the registration form: Comprehensive Exam Registration
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This exam is part of the PhD Qualifying Examination in Mathematics. Use this link for the registration form: Comprehensive Exam Registration
