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Host: Mathematical Sciences Research Institute
Homepage: http://www.msri.org/activities/programs/9900/galois/cgt/
Email: cgt@msri.org
Organizers: Moshe Jarden (Tel Aviv), Gunter Malle (Kassel), Helmut Voelklein (University of Florida)
Description:
As part of the Fall 1999 program in Galois Groups and Fundamental Groups, MSRI will host a one-week workshop in
Constructive Galois Theory, October 4-8, 1999. Topics of the workshop include :
Construction of Galois extensions of function fields using "rigidity" and more generally, moduli spaces for covers of the Riemann sphere and associated monodromy action of the braid group; realizations of simple groups and classical groups as Galois groups over number fields; constructions of Galois covers of curves over finite fields; computational Galois theory.
Patching constructions using formal and rigid geometry; deformations (liftings) of given Galois covers. Applications to Galois groups and fundamental groups in characteristic p and for higher dimensional varieties.
Galois embedding problems: realizations of composite groups as Galois groups over global fields; realization and structure of profinite Galois extensions; connections to rigid analytic and formal geometric constructions.
Connections with field arithmetic: constructions over fields with special properties (algebraically closed, complete, henselian, PAC, hilbertian, etc.).
Invariant theory of finite groups, generic polynomials, and Noether's method.
Mail Address:
Constructive Galois Theory Mathematical Sciences Research Institute 1000 Centennial Drive Berkeley, CA 94720-5070.
Date received: August 27, 1999
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