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Host: University of Melbourne
Sponsor: Centre for Mathematics and its Applications of the Australian National University
Homepage: http://www.maths.mu.oz.au/~neumann/NRSAnnounce1.html
Organizers: W.D. Neumann, Paul Norbury, Penny Wightwick (Melbourne), Tzee Char Kuo (Sydney)
Description:
The study of complex affine plane curves is in some ways the simplest area of affine algebraic geometry. It is nevertheless remarkably hard, as is testified by the fact that its simplest classification question, classifying non-singular smooth affine curves, had many failed attempts before its successful resolution by Abhyankar and Moh and independently M. Suzuki in the mid 70's. There has been considerable progress since then, especially, in recent years, from Japan and Europe, but very basic problems remain unresolved. The Jacobian Conjecture states that a polynomial map $C^n o C^n$ with no-where vanishing Jacobian should be bijective. It is unresolved even for $n=2$ where it has been a great stimulus to the understanding of complex affine plane curves.
Speakers: Abdallah Assi (Angers, France), Gavin Brown (Sydney), Grant Cairns (LaTrobe U., Melbourne), Pierrette Cassou-Nogues (Bordeaux, France), Angelo Di Pasquale (Melbourne), Kwai-Man Fan (Chung Cheng University, Taiwan), R.V. Gurjar (Bombay, India), T. Kambayashi (Saitama, Japan), Tzee Char Kuo (Sydney), J. Manton (Melbourne), Kayo Masuda (Osaka, Japan), Masayoshi Miyanishi (Osaka, Japan), Walter Neumann (Melbourne), Paul Norbury (Melbourne), Stephan Orevkov (Toulouse, France), Peter Russell (Montreal, Canada), Istvan Sigray (Budapest, Hungary), Yosef Stein (Tel Aviv, Israel), Masakazu Suzuki (Kyushu, Japan), Penny Wightwick (Melbourne), Jietai Yu (Hong Kong)
Date received: January 29, 1999
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