13.07.2021 | Malte Behr (Universität Oldenburg) |
Titel: | Quasihomogeneous Blow-Ups and Pseudodifferential Calculus on SL(n,R) |
| Abstract: | We consider the quasihomogeneous blow-up of a submanifold Y in a surrounding manifold with corners X. It generalizes the concept of radial blow-up and revolves around the idea of assigning different weights to functions vanishing at the submanifold Y. In the second part, we consider the hd-compactification of SL(n,R), introduced by Albin, Dimakis, Melrose and Vogan. . We introduce a resolution of this compactification, on which right-invariant differential operators have simple degeneracies at the boundary. We construct an algebra of pseudodifferential operators on X. It is constructed using a resolution of X^2 by a series of quasihomogeneous blow-ups. |
Date
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Tuesday, 13.07.2021
| 14.15 to 15.30 h