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Sehr geehrte Fakultätsmitglieder,
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anbei ein Nachtrag der Vortragsankündigungen für diese Woche.
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Mit freundlichen Grüßen
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Danijela Radosavljevic<br>
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<p class="MsoNormal"><b><span
style="font-family:"Times","serif";mso-bidi-font-family:Arial">Mittwoch,
<span style="color:red">14. November</span> 2012, ab 16:15
Uhr, Olga Taussky-Todd Raum (C 209), UZA 4<o:p></o:p></span></b></p>
<p class="MsoNormal"><b><span
style="font-family:"Times","serif";
mso-bidi-font-family:Arial;color:#0070C0;mso-ansi-language:DE"
lang="DE">Mathematisches
Kolloquium </span></b><b><span
style="font-family:"Times","serif";mso-bidi-font-family:Arial;color:#0070C0">Habilvortrag<o:p></o:p></span></b></p>
<p class="MsoNormal"><b><span
style="font-family:"Times","serif";mso-bidi-font-family:Arial">Dr.
Johanna Michor (Fakultät für Mathematik, Universität Wien):
„Algebro-geometric solutions and their perturbations“<o:p></o:p></span></b></p>
<p class="MsoNormal"><b><span
style="font-family:"Times","serif";mso-bidi-font-family:Arial"><o:p> </o:p></span></b></p>
<p class="MsoNormal"><i><span style="font-size:11.0pt;font-family:
"Times","serif";mso-bidi-font-family:Arial;mso-ansi-language:EN-GB;mso-bidi-font-weight:
bold" lang="EN-GB">Abstract: </span></i><span
style="font-size:11.0pt;font-family:
"Times","serif";mso-bidi-font-family:Arial;mso-ansi-language:EN-GB;mso-bidi-font-weight:
bold" lang="EN-GB">We will study algebro-geometric solutions of
hierarchies of nonlinear integrable
differential-difference equations continuous in time and
discrete in space. Algebro-geometric
solutions are a natural extension of the class of soliton
solutions and similar
to these, they can be explicitly constructed using elements of
algebraic
geometry. The construction of such solutions in terms of<o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-size:11.0pt;font-family:"Times","serif";
mso-bidi-font-family:Arial;mso-ansi-language:EN-GB;mso-bidi-font-weight:bold"
lang="EN-GB">specific
algebro-geometric data on a compact hyperelliptic Riemann
surface will be
exemplified for one model, the Ablowitz-Ladik hierarchy, which
is a complexified
version of the discrete nonlinear Schroedinger hierarchy. We
derive Riemann
theta function representations for the algebro-geometric<o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-size:11.0pt;font-family:"Times","serif";
mso-bidi-font-family:Arial;mso-ansi-language:EN-GB;mso-bidi-font-weight:bold"
lang="EN-GB">solutions
and present a new algorithm to solve the inverse
algebro-geometric spectral
problem for general Ablowitz-Ladik Lax operators, starting from
initial divisors
in a dense set of full measure.<span style="mso-tab-count:1">
</span><o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-size:11.0pt;font-family:"Times","serif";
mso-bidi-font-family:Arial;mso-ansi-language:EN-GB;mso-bidi-font-weight:bold"
lang="EN-GB">Perturbations
of algebro-geometric solutions, or more precisely, scattering
theory with
respect to (two different) algebro-geometric background
operators and its
application to the inverse scattering transform will be
discussed for a second
discrete model, the Toda hierarchy, if time permits.<o:p></o:p></span></p>
<p class="MsoNormal"><b><span
style="font-family:"Times","serif";
mso-bidi-font-family:Arial;mso-ansi-language:EN-GB"
lang="EN-GB"><o:p> </o:p></span></b></p>
<p class="MsoNormal"><b><span
style="font-family:"Times","serif";
mso-bidi-font-family:Arial;mso-ansi-language:EN-GB"
lang="EN-GB">15:45 Uhr – 16:15 Uhr K
& K (Common Room)<o:p></o:p></span></b></p>
<p class="MsoNormal"><b><span
style="font-family:"Times","serif";
mso-bidi-font-family:Arial;mso-ansi-language:EN-GB"
lang="EN-GB"><o:p> </o:p></span></b></p>
<p class="MsoNormal"><b><span
style="font-family:"Times","serif";mso-bidi-font-family:Arial">Univ.-Prof.
Mag. Dr. Walter Schachermayer, Dekan Univ.-Prof. Dr. Harald
Rindler<o:p></o:p></span></b></p>
<br>
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<p class="MsoNormal"><b style="mso-bidi-font-weight:normal"><span
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16.
November 2012, ab 14:00 Uhr, Seminarraum D 101, UZA 4<o:p></o:p></span></b></p>
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Sebastian Schmutzhard: „Galerkin methods for the numerical
evaluation of the prolate spheroidal wave functions”<br>
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