
XVIIIth Annual Geometry Festival
Previous Geometry Festival Speakers

1985 at Penn:
 Marcel Berger
 Pat Eberlein
 Jost Eschenburg
 Friedrich Hirzebruch
 Blaine Lawson
 Leon Simon
 Scott Wolpert
 Deane Yang
1986 at Maryland:
 Uwe Abresch, "Explicit constant mean curvature tori"
 Zhiyong Gao, "The existence of negatively Ricci curved metrics"
 David Hoffman, "New results in the global theory of minimal surfaces"
 Jack Lee, "Conformal geometry and the Yamabe problem"
 Ngaiming Mok, "Compact Kähler manifolds of nonnegative curvature"
 John Morgan, "Self dual connections and the topology of 4manifolds"
 Chuulian Terng, "Submanifolds with flat normal bundle"
1987 at Penn:
 Robert Bryant, "The construction of metrics with exceptional holonomy"
 Francis Bonahon, "Hyperbolic 3manifolds with arbitrarily short geodesics"
 Keith Burns, "Geodesic flows on the 2sphere"
 Andreas Floer, "Instantons and Casson's invariant"
 Hermann Karcher, "Embedded minimal surfaces in the 3sphere"
 Jürgen Moser, "Minimal foliations of tori"
 Ed Witten. "Applications of quantum field theory to topology"
1988 at North Carolina:
 Detlef Gromoll, "On complete spaces of nonnegative Ricci
curvature"
 Nicolas Kapouleas, "Constant mean curvature surfaces in
E^{3}"
 Robert Osserman, "Gauss map of complete minimal surfaces"
 Pierre Pansu, "L^{p}cohomology of negatively curved
manifolds"
 Peter Petersen, "Bounding homotopy types by geometry"
 Gang Tian, "KählerEinstein metrics on quasiprojective
manifolds"
 DaGang Yang, "Some new examples of manifolds of positive Ricci
curvature"
 Wolfgang Ziller, "Recent results on Einstein metrics"
1989 at Stony Brook:
 Eugenio Calabi, "Extremal singular metrics on surfaces"
 Harold Donnelly, "Nodal sets of eigenfunctions on Riemannian
manifolds"
 Yasha Eliashberg, "Symplectic geometric methods in several complex
variables"
 Thomas Farrell, "A topological analogue of Mostow's rigidity
theorem"
 Lesley Sibner, "Solutions to YangMills equations which are not
selfdual"
 Carlos Simpson, "Moduli spaces of representations of fundamental
groups"
1990 at Maryland:
 Michael T. Anderson, "Behavior of metrics under Ricci curvature
bounds"
 Kevin Corlette, "Harmonic maps and geometric superrigidity"
 Kenji Fukaya, "Fundamental groups of almost nonnegatively curved
manifolds"
 Misha Gromov, "Recent progress in symplectic geometry"
 Werner Müller, "On spectral theory for locally symmetric manifolds
with finite volume"
 Rick Schoen, "Least area problems for Lagrangian submanifolds"
 Gudlaugur Thorbergsson, "Isoparametric submanifolds and their Tits
buildings"
 ShingTung Yau, "Some theorems in Kähler geometry"
1991 at Duke:
 Jeff Cheeger, "Transgressed Euler classes of SL(2n,Z)bundles and adiabatic
limits of etainvariants"
 Chris Croke, "Volumes of balls in manifolds without conjugate points and
rigidity of geodesic flows"
 Carolyn Gordon, "When you can't hear the shape of a manifold"
 WuYi Hsiang, "Sphere packing and spherical geometry: The Kepler conjecture
and beyond"
 Alan Nadel, "On the geometry of Fano varieties"
 Grigori Perelman, "Alexandrov's spaces with curvature bounded from
below"
 Stefan Stolz, "On the space of positive curvature metrics modulo
diffeomorphisms"
1992 at NYU/Courant:
 Jonathan Block, "Aperiodic tilings, positive scalar curvature and other
homological phenomena"
 John Franks, "Infinitely many closed geodesics on the 2sphere"
 Karsten Grove, "The inevitable presence of singular spaces in Riemannian
geometry"
 Lisa Jeffrey, "Volumes of moduli spaces of flat connections on Riemannian
surfaces"
 Jun Li, "Antiselfdual connections on SU(2) bundles over algebraic
surfaces"
 Dusa McDuff, "Symplectic 4manifolds"
 Clifford Taubes, "Antiself dual conformal structures in 4 dimensions"
1993 at Penn:
 ShingShen Chern, "Finsler geometry"
 Richard Hamilton, "An isoperimetric estimate for the curveshrinking
flow"
 Vaughan Jones, "Loop groups and operator algebras"
 Claude LeBrun, "Compact Kähler manifolds of constant scalar
curvature"
 Louis Nirenberg, "The maximum principle and related things"
 Xiaochun Rong, "Collapsing in low dimensions and rationality of geometric
invariants"
 I. M. Singer, "Geometry and quantum field theory"
1995 at Stony Brook:
 Dimitri Burago, "Asymptotic geometry of Z^{n}periodic
metrics"
 Tobias Colding, "Ricci curvature and convergence"
 Dominic Joyce, "Compact Riemannian manifolds with exceptional holonomy
groups"
 Yael Karshon, "Hamiltonian torus actions"
 David Morrison, "Analogues of SeibergWitten invariants for counting curves
on CalabiYau manifolds"
 Tom Mrowka, "The SeibergWitten equations and 4manifold topology"
 Yongbin Ruan, "Higher genus pseudoholomorphic curves"
 Edward Witten, "Monopoles and fourmanifolds"
1996 at Maryland:
 J. Baez, "Quantum gravity and BF theory in 4 dimensions"
 JeanLuc Brylinski, "Gauge groups and reciprocity laws on algebraic
varieties"
 Bruce Kleiner, "Spaces of nonpositive curvature"
 G. Margulis, "Quantitative Oppenheim Conjecture"
 S. P. Novikov, "Laplace and Darboux transformations"
 Richard Schwartz, "The Devil's Pentagram"
 Guofong Wei, "Volume comparison with integral curvature bounds"
 Shmuel Weinberger, "Equivariant rigidity: For and against"
 Jeanne Nielsen Clelland , "Geometry of Conservation Laws for Parabolic
PDE's"
 Anatole Katok , "Rigidity and invariant geometric structures for
differentiable group actions"
 François Labourie , "MongeAmpere problems, holomorphic curves and
laminations"
 Gang Liu, "Floer Homology and the Arnold Conjecture"
 William Minicozzi, "Harmonic functions on manifolds"
 Lorenz Schwachhöfer, "The classification of irreducible holonomies
of torsion free connections"
 Matthias Schwarz, "Symplectic fixed points and quantum cohomology"
 Stephen Semmes, "Geometry with little smoothness"
 Scott Axelrod, "Generalized ChernSimons invariants as a generalized
Lagrangian field theory"
 JeanMichel Bismut, "ChernSimons classes, Bott Chern classes and analytic
torsion"
 Spencer Bloch, "Algebrogeometric ChernSimons classes"
 Robert Bryant, "Recent progress on the holonomy classification problem"
 Robert Bryant (for S.S. Chern), "Recent results and open problems in Finsler geometry"

Jeff Cheeger and Blaine Lawson, "The mathematical work of James Simons"
 Jeff Cheeger, "Ricci Curvature"
 Jürg Fröhlich, "Physics and the ChernSimons form
(from anomalies to the quantum Hall effect to magnetic stars)"
 Mikhail Gromov, "Dynamics on function spaces"
 Maxim Kontsevich, "On regulators, critical values and
qfactorials"
 Blaine Lawson, "Connections and singularities of maps"
 Robert MacPherson, "Spaces with torus actions"
 John Milnor, "Remarks on geometry and dynamics"
 I.M. Singer, TBA
 Dennis Sullivan "A combinatorial model for nonlinearity"
 Clifford Taubes, "SeibergWitten invariants, harmonic forms, and their
pseudoholomorphic curves"
 Gang Tian, "YangMills connections and calibration"
 C.N. Yang, "Vector potentials and connections"
 S.T. Yau, "Mirror symmetry and rational curves"
1999 at Penn:
 Peter Sarnak, "Some spectral problems on negatively curved
manifolds"
 Zhengxu He, "The gradient flow for the Möbius energy of
knots"
 Curtis McMullen, "The moduli space of Riemann surfaces is
Kählerhyperbolic"
 Paul Biran, "Lagrange skeletons and symplectic rigidity"
 Helmut Hofer, Holomorphic curves and contact geometry"
 Werner Ballmann, "On negative curvature and the essential spectrum of
geometric operators"
 Shlomo Sternberg, "Multiplets of representations and Kostant's Dirac
operator"
 Samuel Ferguson, "The Kepler Conjecture"
 Robert Meyerhoff, "Rigorous computeraided proofs in the theory of hyperbolic 3manifolds"
 Herman Gluck, "Geometry, topology and plasma physics"
 Burkhard Wilking, "New examples of manifolds with positive sectional curvature almost everywhere"
 John Roe, "Amenability and assembly maps"
 Eleny Ionel, "Gromov invariants of symplectic sums"
 Mikhail Gromov, "Spaces of holomorphic maps"
 Robert Bryant, "Rigidity and quasirigidity of extremal cycles in Hermitian
symmetric spaces"
 Tobias Colding, "Embedded minimal surfaces in 3manifolds"
 Boris Dubrovin, "Normal forms of integrable PDE's"
 John Lott, "Heat equation methods in noncommutative geometry"
 Dusa McDuff, "Seminorms on the Hamiltonian group and the nonsqueezing
theorem"
 Rick Schoen, "Variational approaches to the construction minimal lagrangian
submanifolds"
 ShingTung Yau, "Mirror symmetry"
 Denis Auroux,
"Singular plane curves and topological invariants of symplectic manifolds"
 Hugh Bray, "On the mass of higher dimensional black holes"
 Alice Chang, "Conformally invariant operators and the GaussBonnet
integrand"
 Xiuxiong Chen,"The space of Kähler metrics"
 George Daskalopoulos,"On the YangMills flow in higher dimensions"
 Alex Eskin, "Billiards and lattices"
 Juha Heinonen, "On the existence of quasiregular mappings"

