[Vortraege] Vortragsank. KW. 46 - Nachtrag und Korrektur

[Danijela Radosavljevic]

Sehr geehrte Fakultätsmitglieder,

anbei ein Nachtrag der Vortragsankündigungen für diese Woche.

Mit freundlichen Grüßen

Danijela Radosavljevic

*Mittwoch, 14. November 2012, ab 16:15 Uhr, Olga Taussky-Todd Raum (C 
209), UZA 4*

*Mathematisches Kolloquium **Habilvortrag*

*Dr. Johanna Michor (Fakultät für Mathematik, Universität Wien): 
"Algebro-geometric solutions and their perturbations"*

**

/Abstract: /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

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

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.

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.

**

*15:45 Uhr -- 16:15 Uhr K & K (Common Room)*

**

*Univ.-Prof. Mag. Dr. Walter Schachermayer, Dekan Univ.-Prof. Dr. Harald 
Rindler*


*Freitag, 16. November 2012, ab 14:00 Uhr, Seminarraum D 101, UZA 4*

*Öffentliche Defensio*

*Dipl.-Ing. Sebastian Schmutzhard: "Galerkin methods for the numerical 
evaluation of the prolate spheroidal wave functions"
*

*
*


**





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