SCHOOL OF MATHEMATICAL SCIENCES COLLOQUIUMThe provisional schedule for the rest of the term is as follows.
28 October 2004 - Goetz Pfeiffer, NUI Galway - Counting transitive relations
11 November 2004 - Aiden Bruen, Calgary - Geometry from Ancient Greece to modern Italy, from Menelaus to Segré, and a fundamental problem in error-correcting codes
Abstract - When sending messages over a noisy channel, one introduces redundancy to ensure accurate decoding. After presenting some examples, Aiden will discuss a version of 'the main coding problem' leading to the Singleton bound. Combinatorial applications are surveyed. Linear maximum distance separable (MDS) codes are examined, including Reed-Solomon codes. The foundational work of B. Segré is discussed, including his use of the ancient theorem of Menelaus and the Hasse-Weil estimates for algebraic curves in the theory of MDS codes. Recent results will be sketched.
2 December 2004 - Jose Luis Gracia, Zaragoza - High Order Finite Difference Scheme for Singularly Perturbed Problems
16 December 2004 - Edwin O'Shea, Washington - TBA
The Colloquium takes place at 4pm in AL8.
All are welcome.
For further information, please contact Dr. Shane O'Rourke, School of Mathematical Sciences, UCC, Tel: 021 490 2275, Email: S.orourke@ucc.ie
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