\noindent{\bf Mathematisches Oberseminar} {\it PDG und
Spektraltheorie} (WiSe 2013/14).

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\noindent{\bf Date:} 19.12.2013.

\noindent{\bf Time and place:} 14:15 in B 134.

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\noindent{\bf Speaker:} Rupert Frank (Caltech).

\noindent{\bf Titel:} {\it Strichartz inequality for orthonormal functions}. 


\noindent{\bf Abstract:}

\noindent We prove a Strichartz inequality for a system of orthonormal functions,
with an optimal behavior of the constant in the limit of a large number of
functions. The estimate generalizes the usual Strichartz inequality, in
the same fashion as the Lieb-Thirring inequality generalizes the Sobolev
inequality. As an application, we consider the Schr\"odinger equation in a
time-dependent potential and we show the existence of the wave operator in
Schatten spaces. 


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Thomas {\O}stergaard S{\o}rensen

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