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AGRS The Ubiquitous Diff(S^1) Learning Seminar: Virasoro III March 01, 2022 (03:30 PM PST - 05:00 PM PST)
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Location: MSRI: Simons Auditorium, Online/Virtual
Speaker(s) Maria Gordina (University of Connecticut)
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To participate in this seminar, please register HERE.

We have introduced the Virasoro algebra so far. Next we will explore how the Gelfand-Fuks cocycle is used to introduce a new inner product and the Kahler structure on the corresponding infinite-dimensional manifolds. Below are some questions we will address next week. 

What is a unitary representation of a Lie algebra/Lie group? Why are they important for analysis on these spaces? And what are the difficulties in the setting of Virasoro algebra? Our goal now is to define a unitarizing measure according the the Airault-Malliavin-Thalmaier.

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