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Seminar by Soumalya Joardar

Monday, October 16, 2017 - 11:30 to 12:30
Seminar Room, School of Mathematical Sciences
Soumalya Joardar
JNCASR, Bangalore
Weyl algebra, Hyperbolic space and Noncommutative Hyperbolic plane

We propose a Weyl system represented on the Hilbert space $L^{2}(\mathbb{H}^{2}, d\mu)$ where $\mathbb{H}^{2}$ is the Hyperbolic plane and $d\mu$ is the corresponding hyperbolic measure. We give four canonical derivations on the algebra and using them propose a Lindbladian which would enable us to study geometric properties of the Weyl algebra.

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