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Seminar

MLA - Regular Seminar (part 2): Semi-classical isotropic functions and their symbol calculus October 31, 2019 (02:00 PM PDT - 03:00 PM PDT)
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Location: MSRI: Simons Auditorium
Speaker(s) Alejandro Uribe (University of Michigan)
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I will first describe a general construction of semi-classical functions  associated to isotropic submanifolds, both in cotangent and symplectic contexts. Such functions  have symbols that are symplectic spinors, and I will sketch their symbol calculus. This is the semi-classical analogue of the Boutet de Monvel-Guillemin theory of Hermite distributions. The main, new applications I will discuss are to the so-called Hermite operators, whose kernels are isotropic distributions associated to submanifolds of the diagonal. Examples include certain mixed states, for which we obtain a Szegö limit theorem. 

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