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Computational Algebra Group
Computational Algebra Seminar
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  • Alexa van der Waall
  • (Simon Fraser)
  • A journey through the local factorisation of differential operators
  • 3pm–4pm, Thursday 24th February, 2005
  • Carlaw 535
  • Linear differential operators over a rational function field can be factored, just like polynomials over number fields. The main difference between these two, however, is that the multiplication of differential operators is non-commutative. The order of the multiplication is therefore important. There are a few algorithms known for determining a class of factorisations. The one that currently is being implemented uses factorisations over Laurent series rings. These can be used later for the factorisation over rational fields. In this talk I plan to talk about the series implementations and the ideas behind them, and mention some similarities with the number theory case.

The Computational Algebra Group is a research group within the School of Mathematics and Statistics, University of Sydney.
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