MSRI'99 Workshop: Galois Actions and Geometry

Date: October 11--15 (1999)

Anticipated participants:

S.Abhyankar, A.Adem, A.Agboola, P.Bailey, E.Bayer, E.Black, I.Bouw, W.Butske, M.Chandrasekher, J.Coates, T.Crespo, J.Csirik, H.Darmon, P.Debes, C.Doran, V.Dung, I.Efrat, J.Ellenberg, M.Emsalem, M.Fried, H.Furusho, Y.Henrio, S.Howson, S.Gao, R.Gelca, E.Gille, R.Gitik, A.Goncharov, R.Guralnick, R.Hain, D.Haran, D.Harbater, K.Hashimoto, E.Hironaka, S.Howson, Y.Ihara, E.Kani, L.Khadjavi, W.Lang, A.Ledet, H.Lenstra, N.Levin, R.Litcanu, Q.Liu, P.Lochak, A.Logan, W.Luetkebohmert, G.Malle, D.Marshall, M.Matignon, M.Matsumoto, B.H.Matzat, W.McCallum, D.McQuillan, A.Mezard, S.Mochizuki, M.Monsurro, H.Moon, P.Mueller, S.Nakajima, H.Nakamura, F.Orgogozo, A.Pacheco, V.G.Perez, F.Pop, A.Prestel, R.Parimala, A.Rajaei, A.Razon, M.Raynaud, K.Ribet, J.Saxl, L.Schneps, R.Sharifi, T.Szamuely, Y.Taguchi, A.Tamagawa, P.H.Tiep, M.Tretkoff, H.Tsunogai, N.Vila, H.Voelklein, S.Wewers, Z.Wojtkowiak, P.Zalesski, M.Zieve
(as of September 3)

Organizers:

Pierre Debes,

Hiroaki Nakamura,

Akio Tamagawa

This is one of the three workshops of the program

``Galois Groups and Fundamental Groups''

during the fall 1999 semester of MSRI, organized by E.Bayer, M.Fried, D.Harbater, Y.Ihara, B.H.Matzat, M.Raynaud, J.Thompson.

The themes of the present 1 week workshop ``Galois Actions and Geometry'' 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.

There are two other workshops in the overall program:

(AMS von Neumann Symposium) Joint introductory workshop on
Arithmetic Fundamental Groups and Noncommutative Algebra
(August 16--27; Organizing committee: M.Fried, D.Harbater, L.Small)
Galois program organizers: R.M.Guralnick, F.Pop, L.Schneps
Constructive Galois theory (October 4--8)
Organizers: M.Jarden, G.Malle, H.Voelklein

To apply for financial support: A limited amount of funding is available for partial support of people wishing to attend. Students, recent Ph.D.'s, women, and minorities are particularly encouraged to apply. To apply for funding, send a letter explaining your interest in the workshop together with a vita or bibliography and a budget for travel/living expenses. If you are a student, also solicit a letter from a faculty advisor. All information should be received by July 12, 1999.
MSRI will send hotel information, whatever program information is available at that time, and replies to requests for funding one month after the application deadline. This information will also be posted to the workshop web page.
For more information: Communications about this workshop should be sent either by email to gactions((at))msri.org or by regular mail to:

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

The Institute is committed to the principles of Equal Opportunity and Affirmative Action.