First presenter Co-presenter(s)
Name : Dr Ekaterina Shemyakova * Name:  Elizabeth Mansfield
E-mail: kath@risc.uni-linz.ac.at E-mail:   E.L.Mansfield@kent.ac.uk
Affiliation: RISC, Research Institute for Symbolic Computation Name:   
Department:   E-mail:    
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Country: Austria Name:   
Talk
Number:		 10-06  E-mail:    
Session: 10- Algebraic and Algorithmic Aspects of Differential and Integral Operators Schedule:
 
Room:		 Thursday, 17:00
 
B-2620
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Title of
presentation:		 Moving Frames for Laplace Invariants. General Case.
Abstract:

Using the methods of regularized moving frames of Fels and Olver we obtained in our ISSAC'08 paper generating sets of invariants for the second- and third-orders bivariate hyperbolic and non-hyperbolic LPDOs. Now we generalize the method to the case of arbitrary order (hyperbolic and non-hyperbolic) LPDOs. A special choice of the normalization equations was invented, so that we were able prove some invariants form a finite (small) generating set of invariants.