Classical and quantum gravity in 3 dimensions
timetable:
Wed 7 Sep, 9:00 - 10:00, Aula Dini
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seminar: Holomorphic factorization of determinants of Laplacians on Riemann surfaces and a higher genus generalization of Kronecker's limit formula
speaker: Leon Takhtajan (SUNY, Stony Brook University)abstract: Classical Kronecker's first limit formula can be interpreted as a holomorphic factorization of a determinant of the Laplace operator with respect to a flat metric on an elliptic curve. We will show that similar representation exists for determinants of Laplace operators with respect to to the hyperbolic metric, acting on n-differentials on higher genus compact Riemann surfaces. Geometrically, this gives an explicit product formula for the corresponding Quillen's metric. This is a joint work with A. McIntyre, math.CV0410294.
timetable:
Wed 7 Sep, 9:00 - 10:00, Aula Dini
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