A Moment Map for the T-action and Commuting Toeplitz Operators acting on Bergman Spaces of the Bounded Symmetric Domain of Type IV

Name: A Moment Map for the T-action and Commuting Toeplitz Operators acting on Bergman Spaces of the Bounded Symmetric Domain of Type IV
Start: 2021-12-15T11:00:00Z
End: 2021-12-15T12:00:00Z
Location: Virtual

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Abstract

We will introduce the recent class of symbols related to a moment map. First, we will compute a moment map for the T-action on the n-dimensional Cartan domain of type IV. We will prove that Toeplitz operators with moment map symbols of the SO(2)-action generate commutative C*-algebras on every Bergman spaces with weight greater than n-1. Futhermore, we will provide the explicit spectal integral formula for such Toeplitz operators.

Date

Dec 15, 2021 11:00 AM — 12:00 PM

Event

Seminar on Toeplitz Operators, CINVESTAV

Location

Virtual

Monyrattanak Seng

PhD in mathematics

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