Arithmetic fundamental groups and noncommutative algebra : 1999 Von Neumann Conference on Arithmetic Fundamental Groups and Noncommutative Algebra August 16 27 1999 Mathematical Sciences Research Institute Berkeley California Configuration spaces for wildly ramified covers Michael D. Fried and Ariane M(c)♭zard Linear systems attached to cyclic inertia Marco A. Garuti Prescribing ramification Robert Guralnick and Katherine F. Stevenson Desingularization and modular Galois theory Shreeram S. Abhyankar with an appendix by David Harbater Genus 0 actions of groups of Lie rank 1 Dan Frohardt Robert Guralnick and Kay Magaard Galois realizations of profinite projective linear groups Helmut V(c)œlklein Semisimple triangular Hopf algebras and Tannakian categories Shlomo Gelaki On a theorem of Deligne on characterization of Tannakian categories Ph(c)£ng H§(c)ø H∫£ai A survey of the Hodge Arakelov theory of elliptic curves I Shinichi Mochizuki Descent theory for algebraic covers Pierre D(c)·bes Galois invariants of dessins denfants Jordan S. Ellenberg Limits of Galois representations in fundamental groups along maximal degeneration of marked curves II Hiroaki Nakamura Hurwitz monodromy spin separation and higher levels of a modular tower Paul Bailey and Michael D. Fried Field of moduli and field of definition of Galois covers Stefan Wewers Some arithmetic aspects of Galois actions on the pro p fundamental group of P(p)£(0 1 oo) Yasutaka Ihara Relationships between conjectures on the structure of pro p Galois groups unramified outside p Romyar T. Sharifi On explicit formulae for ́ adic polylogarithms Hiroaki Nakamura and Zdzis¿aw Wojtkowiak Fundamental groups and geometry of curves in positive characteristic Akio Tamagawa Sur le groupe fondamental dune courbe compl(c)·te en caract(c)♭ristique p>0 Michel Raynaud