Sunday, August 12 - Thursday, August 16, 2001
Stanford University

Organizers:
Ralph Cohen, Stanford University | Ib Madsen, Aarhus University, Denmark

Funded by grants from the Mathematics Research Center of Stanford University,
The American Institute of Mathematics and the NSF

 Sunday, August 12 Ezra Getzler, Northwestern University Jet-spaces of Frobenius manifolds and higher genus Gromov-Witten invariants Frances Kirwan, Oxford University A complete set of relations for the cohomology of moduli spaces of bundles over Riemann surfaces Shigeyuki Morita, University of Tokyo Cohomological structure of the mapping class group and its Lie algebra version Ravi Vakil, Stanford University Vanishing conjectures for the moduli space of curves Monday, August 13 Dennis Sullivan, CUNY Surface Topology Gunnar Carlsson, Stanford University Absolute Galios groups of function fields Ib Madsen, Aarhus University The Mumford Conjecture revisited Ian Morrison, Fordham University Nef divisors on moduli spaces of pointed stable curves Tuesday, August 14 Ronnie Lee, Yale University Moduli space of Seibert-Witten invariant and the 10/8 conjecture Lisa Jeffrey, University of Toronto The Verlinde formula for parabolic bundles Ralph Cohen, Stanford University A linearization of the topology of the stable mapping class group Jacques Hurtubise, CRM, Montreal The geometry of the Sklyanin and Hitchin integrable systems Wednesday, August 15 Karen Vogtmann, Cornell University An algebraic structure on complexes of graphs and their cohomology Jun Li, Stanford University A degeneration formula of the Gromov-Witten invariants Ulrike Tillmann, Oxford University The higher genus surface operad and infinite loop surfaces Alexander Voronov, Michigan State University Stability of the rational homotopy type of moduli spaces Thursday, August 16 Carl-Friedrich Boedigheimer, Bonn University Combinatorial complex for the homology of moduli spaces Young-Hoon Kiem, Stanford University Intersection pairings on singular moduli spaces of bundles over a Riemann surface Richard Hain, Duke University The rational cohomology of Sp_3(Z) R. James Milgram, Stanford University Configuration spaces and moduli spaces in engineering and applications Preprints Alexander Voronov, MSU Stability of Rational Homotopy Type of Moduli Spaces pdf Ralph Cohen, Stanford University A homotopy theoretic realization of String Topology pdf A linearization of the topology of the stable mapping class group pdf Karen Vogtmann, Cornell University Automorphisms Of Free Groups And Outer Space pdf Søren Galatius Smith, Aarhus University Mod 2 Homology of ... pdf Jack Morava, John Hopkins University An algebraic analog of the Virasoro group pdf The Tangent Bundle Of An Almost-Complex Free Loopspace pdf Ulrike Tillmann, Oxford University Higher Genus Surface Operad Detects Infinite Loop Spaces pdf The Stable Mapping Class Group And Q(CP ^\infty_+) pdf Ravi Vakil, Stanford University The Gromov-Witten Potential Of A Point, Hurwitz Numbers, And Hodge Integrals pdf Hodge Integrals And Hurwitz Numbers Via Virtual Localization pdf On The Tautological Ring Of $\bar{M} _g,n$ pdf Shigeyuki Morita, University of Tokyo Generators For The Tautological Algebra Of The Moduli Space Of Curves pdf The primary approximation to the cohomology of the moduli space of curves and cocycles for the Mumford-Morita-Miller classes pdf Elizabeth Gasparim, University of Texas at Austin Numerical invariants for bundles on blow-ups pdf Vector bundles on a neighborhood of an exceptional curve and elementary transformations pdf