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Geometric Methods on Singular Spaces versus Microlocal Analysis

Non-commutative residue for metaplectic operators

speaker: Luigi Giacomo Rodino (Univ. Torino)

abstract: The non-commutative residue was introduced by Manin in connection with the algebraic study of the KdV solutions. The result of Manin was extended by Wodzicki to pseudo-differential operators and by Guillemin to Fourier integral operators. We compute the non- commutative residue for metaplectic operators, obtaining for them an explicit expression of the result of Guillemin.

timetable:
Sat 3 Nov, 9:30 - 10:30, Sala Conferenze Centro De Giorgi
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