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Galois Actions and Geometry

October 11-15, 1999

Berkeley, CA, USA

Mathematics

Host: Mathematical Sciences Research Institute
Homepage: http://www.msri.org/activities/programs/9900/galois/gactions/
Email: gactions@msri.org

Organizers: Pierre Debes, Hiroaki Nakamura, Akio Tamagawa

Description:
As part of the Fall 1999 program in Galois Groups and Fundamental Groups, MSRI will host a one-week workshop in Galois Actions and Geometry, October 11-15, 1999. The themes of the weeklong workshop will include

Galois and braid group actions on fundamental groups of marked curves; Galois actions on fundamental groups of moduli spaces of curves; the Grothendieck-Teichmueller group.

Fundamental groups and geometry of moduli spaces; generalized Hurwitz spaces, modular towers; families of covers.

Connection with abelian varieties, Iwasawa theory, and modular forms; Galois representations and their images; nilpotent and motivic aspects.

Grothendieck's anabelian conjectures; fundamental groups of hyperbolic varieties and anabelian neighborhoods of points; conjectures on sections and rational points.

Galois cohomology; connections to embedding problems; fields of moduli of varieties and covers, descent.

Arithmetic of covers; related group theory; exceptional covers; special fibers; semi-stable reduction; p-adic uniformization theory of curves.

Mail Address:

Galois Actions and Geometry
Mathematical Sciences Research Institute
1000 Centennial Drive
Berkeley, CA 94720-5070.

Date received: August 27, 1999


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