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Lie Groups and Representation Theory
Seminar information archive ～10/06｜Next seminar｜Future seminars 10/07～
| Date, time & place | Tuesday 16:30 - 18:00 126Room #126 (Graduate School of Math. Sci. Bldg.) |
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2007/10/02
16:30-18:00 Room #126 (Graduate School of Math. Sci. Bldg.)
Pablo Ramacher (Gottingen University)
Invariant integral operators on affine G-varieties and their kernels
https://www.ms.u-tokyo.ac.jp/~toshi/seminar/ut-seminar.html
Pablo Ramacher (Gottingen University)
Invariant integral operators on affine G-varieties and their kernels
[ Abstract ]
We consider certain invariant integral operators on a smooth affine variety M carrying the action of a reductive algebraic group G, and assume that G acts on M with an open orbit. Then M is isomorphic to a homogeneous vector bundle, and can locally be described via the theory of prehomogenous vector spaces. We then study the Schwartz kernels of the considered operators, and give a description of their singularities using the calculus of b-pseudodifferential operators developed by Melrose. In particular, the restrictions of the kernels to the diagonal can be described in terms of local zeta functions.
[ Reference URL ]We consider certain invariant integral operators on a smooth affine variety M carrying the action of a reductive algebraic group G, and assume that G acts on M with an open orbit. Then M is isomorphic to a homogeneous vector bundle, and can locally be described via the theory of prehomogenous vector spaces. We then study the Schwartz kernels of the considered operators, and give a description of their singularities using the calculus of b-pseudodifferential operators developed by Melrose. In particular, the restrictions of the kernels to the diagonal can be described in terms of local zeta functions.
https://www.ms.u-tokyo.ac.jp/~toshi/seminar/ut-seminar.html
