Compactifications and resolvents for symmetric spaces
of rank two
Rafe Mazzeo
3.00pm-5.00 pm March 1
380-383N (Math lounge), Stanford
ABSTRACT: I will describe recent joint work with Andras Vasy
concerning the analysis of the Laplacian on the globally
symmetric spaces ${\mathbb H}^k \times {\mathbb H}^\ell$
and $Sl_3/SO_3$. The goal is to find a robust approach
which generalizes easily to other (nonsymmetric) spaces
with this asymptotic structure at infinity. Amongst the
results are a thorough description of the asymptotics of
the resolvent and the structure of the Martin compactification
of these spaces. This generalizes and simplifies earlier work of
Guivarc'h, Ji, Taylor and Anker.
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