# Mathematical Sciences Research Institute

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1. # WorkshopRicci Flow and Geometrization of 3-Manifolds

Ian Agol, Ben Chow, Tobias Colding, David Gabai, and Bruce Kleiner

This workshop is the second part of a two-week conference sponsored by MSRI, AIM and the NSF, focusing on Perelman's recent work on Thurston's geometrization conjecture using Hamilton's Ricci flow. The talks at MSRI are intended for a general audience and follow a week long workshop at AIM intended for a more specialized audience.

Dec 15, 2003
Monday
 09:30 AM - 11:30 AM Thurston's Geometrization conjecture and its consequences Misha Kapovich 02:30 PM - 04:00 PM A Ricci flow primer Bennett Chow (University of California, San Diego)
Dec 16, 2003
Tuesday
 09:30 AM - 11:30 AM An overview of Perelman's argument for geometrization using Hamilton's Ricci flow Bruce Kleiner (New York University, Courant Institute) 02:30 PM - 03:30 PM Perelman's L-function and (non)collapsing Peng Lu (University of Oregon)
Dec 17, 2003
Wednesday
 09:00 AM - 10:00 AM Ancient solutions with nonnegative curvature Lei Ni (University of California, San Diego) 10:00 AM - 01:30 PM Break 10:30 AM - 11:30 AM Finite time extinction for manifolds without aspherical summands Tobias Colding (Massachusetts Institute of Technology) 01:30 PM - 02:30 PM Collapsing with a lower curvature bound Takashi Shioya 02:30 PM - 03:30 PM Collapsing with a lower curvature bound 03:00 PM - 04:00 PM Ricci Flow Richard Hamilton
Dec 18, 2003
Thursday
 09:30 AM - 10:30 AM Kahler Ricci flow Lei Ni (University of California, San Diego) 02:30 PM - 04:00 PM Problem session and discussion of future directions Bennett Chow (University of California, San Diego)
Dec 19, 2003
Friday
 09:30 AM - 12:00 PM Informal Discussion Bennett Chow (University of California, San Diego)
2. # WorkshopGeometric Analysis

Ben Chow, Peter Li, Richard Schoen (chair), and Richard Wentworth

Dec 01, 2003
Monday
 08:00 AM - 05:00 PM K-stability and Kaehler metrics of constant scalar curvature Gang Tian (Princeton University) 08:00 AM - 05:00 PM Homogeneous solutions to elliptic equations Yu Yuan (University of Washington) 08:00 AM - 05:00 PM The space of Kaehler potentials Xiu-Xiong Chen 08:00 AM - 05:00 PM The symmetric minimal surface equation Leon Simon 08:00 AM - 05:00 PM Aspects of Mean Curvature Flow Brian White (Stanford University) 10:00 AM - 11:00 AM Spectral theory for tensor products of Hermitian holomorphic line bundles Harold Donnelly 11:30 AM - 12:30 PM The Plateau problem for locally convex hypersurfaces Bo Guan (Ohio State University) 02:30 PM - 03:30 PM The Yang-Mills flow on Kaehler surfaces Richard Wentworth (University of Maryland) 04:00 PM - 05:00 PM Conformal deformation of smallest eigenvalues of the Ricci tensor Peng-Fei Guan
Dec 02, 2003
Tuesday
 10:00 AM - 11:00 AM Minimal surface systems in higher codimension Mu-Tao Wang (Columbia University) 11:30 AM - 12:30 PM Kaehler manifolds with positive spectrum Jiaping Wang 02:30 PM - 03:30 PM Bach-flat asymptotically locally Euclidean metrics Jeff Viaclovsky (University of Wisconsin-Madison) 04:00 PM - 05:00 PM TBA Gang Tian (Princeton University)
Dec 03, 2003
Wednesday
 10:00 AM - 11:00 AM Elementary construction of subharmonic functions on open manifolds Mohan Ramachandran 11:30 AM - 12:30 PM Singular semi-flat Calabi-Yau metrics on S^2 John Loftin (Rutgers University)
Dec 04, 2003
Thursday
 10:00 AM - 11:00 AM TBA Yu Yuan (University of Washington) 11:30 AM - 12:30 PM Positive scalar curvature and Poincare-Einstein fillings Rafe Mazzeo (Stanford University) 02:30 PM - 03:30 PM TBA Xiu-Xiong Chen 04:00 PM - 05:00 PM The singular set of 1-1 integral currents Tristan Riviere
Dec 05, 2003
Friday
 10:00 AM - 11:00 AM Monotonicity and holomorphic functions on complete Kaehler manifolds Lei Ni (University of California, San Diego) 11:30 AM - 12:30 PM TBA Leon Simon 02:30 PM - 03:30 PM TBA Brian White (Stanford University) 04:00 PM - 05:00 PM Regularity of biharmonic maps into Riemannian manifolds Changyou Wang (University of Kentucky)
3. # WorkshopCombinatorial and Discrete Geometry

Jesús A. De Loera, Jacob E. Goodman, János Pach and Günter M. Ziegler

Nov 17, 2003
Monday
 08:00 AM - 09:00 AM Registration Andrew Lucas 08:00 AM - 05:00 PM Lecture 1: Graph homomorphisms, statistical physics and quasirandom graphs Laszlo Lovasz 09:00 AM - 09:15 AM Welcome/Information Andrew Lucas 09:15 AM - 10:15 AM The generalized lower bound theorem for polytopes and j-facets for finite point sets Emo Welzl 10:45 AM - 11:15 AM Local versus global convexity of PL-surfaces in classical geometries Konstantin Rybnikov 11:25 AM - 11:55 AM Generating functions for sets of lattice points Kevin Woods 12:05 PM - 12:35 PM Minimal triangulations and the computation of Gromov's norm Francisco Santos Leal (University of Cantabria) 02:00 PM - 02:30 PM Points in Motion Ileana Streinu (Smith College) 02:40 PM - 03:10 PM Coefficients and zeros of Ehrhart polynomials Julian Pfeifle 04:15 PM - 05:15 PM Tilings, geometric representations, and discrete analytic functions László Lovász (Eötvös Loránd University (ELTE))
Nov 18, 2003
Tuesday
 09:15 AM - 10:15 AM The kissing number in dimension 4' Oleg Musin (University of Texas Rio Grande Valley) 10:45 AM - 11:30 AM Optimality of the Leech lattice among lattices Henry Cohn (Microsoft Research) 02:00 PM - 02:30 PM Two problems on configurations of unit cylinders around the unit sphere Wlodzimierz Kuperberg 02:40 PM - 03:10 PM Periodicity and Sphere packings of hyperbolic space Lewis Bowen 03:40 PM - 04:40 PM Apollonian packings: geometry and group Theory Jeffrey Lagarias (University of Michigan)
Nov 19, 2003
Wednesday
 09:00 AM - 10:00 AM Discrete minimal surfaces in the cubic lattice John Sullivan (TU Berlin) 10:30 AM - 11:00 AM Geometry from combinatorics: Surfaces made from circles Alexander Bobenko 11:10 AM - 12:10 PM The polytope of pointed pseudotriangulations, and Delone and anti-Delone pseudotriangulations Gunter Rote 03:00 PM - 04:00 PM The geometry of statistical models for biological sequences Bernd Sturmfels (University of California, Berkeley) 04:30 PM - 05:00 PM The tropical rank of a Matrix Michael Develin 05:10 PM - 06:20 PM On convex hulls Michael Joswig (TU Berlin)
Nov 20, 2003
Thursday
 09:00 AM - 10:00 AM Problems concerning directions of lines and planes in Euclidean spaces Rom Pinchasi 10:30 AM - 11:00 AM Extremal arrangements of points and hyperplanes Jozsef Solymosi (University of British Columbia) 11:10 AM - 11:40 AM On forbidden families of geometric permutations in R^d Meir Katchalski 11:50 AM - 12:20 PM On simplices spanned by points in 3-dimensional space Peter Brass 03:00 PM - 03:30 PM Betti number bounds and their applications Richard Pollack 03:40 PM - 04:10 PM Turan-type results for geometric and topological graphs Geza Toth 04:40 PM - 05:10 PM Monotonicity of the perimeter of intersection of unit disks- a proof of Alexander's conjecture Karoly Bezdek 05:20 PM - 06:20 PM Locally plane graphs and excluded submatrices Gabor Tardos
Nov 21, 2003
Friday
 09:00 AM - 10:00 AM Geometric enumeration from a quasisymmetric point of view Louis Billera (Cornell University) 10:30 AM - 11:00 AM Erdos's distinct distances problem Van Vu 11:10 AM - 11:40 AM Lifting inequalities for polytopes Richard Ehrenborg (University of Kentucky) 11:50 AM - 12:20 PM A desingularization of real diffeomorphic actions of finite groups Eva Feichtner (Universität Bremen) 02:30 PM - 03:00 PM Polynomial inequalities representing polyhedra Martin Henk (TU Berlin) 03:10 PM - 04:10 PM Discrepancy - a short problem list
4. # WorkshopMathematical Foundations of Geometric Algorithms

Pankaj Agarwal, Herbert Edelsbrunner, Micha Sharir, and Emo Welzl

Oct 13, 2003
Monday
 09:15 AM - 10:15 AM Approximate Voronoi diagrams David Mount 10:30 AM - 11:00 AM Complexity and computation of 3D Delaunay triangulations Annamaria Amenta (University of California, Davis) 11:00 AM - 11:30 AM Anisotropic Voronoi diagrams and guaranteed-quality anisotropic mesh generation Anisotropic Voronoi diagrams and guaranteed-quality Anisotropic Voronoi diagrams and guaranteed-quality anisotropic mesh generation Jonathan Shewchuk 11:30 AM - 12:00 PM Pragmatic point ordering for Delaunay tessellation Pragmatic point ordering for Delaunay tessellation in 3D and 4D Jack Snoeyink 02:00 PM - 02:45 PM On conflict-free colorings Meir Smorodinsky 04:15 PM - 05:15 PM PL implementations of differential topology concepts and their applications Herbert Edelsbrunner (Duke University)
Oct 14, 2003
Tuesday
 09:00 AM - 10:00 AM Geometric approximation using core sets Pankaj Agarwal (Duke University) 10:30 AM - 11:00 AM On core sets and shape fitting in high dimensions Sariel Har-Peled 11:00 AM - 11:30 AM On some geometric optimal path and network problems problems Joseph Mitchell 11:30 AM - 12:00 PM What is new with kinetic data structures? Leo Guibas 02:00 PM - 03:00 PM Problems on the interface of geometry and economics Subhash Suri 03:30 PM - 04:30 PM Arrangements of surfaces: A state of the art report Vladlen Koltun
Oct 15, 2003
Wednesday
 09:00 AM - 10:00 AM Linear algebra and LP-type problems Bernd Gaertner 10:30 AM - 11:00 AM Bernstein basis and real rool isolation Marie-Francoise Roy 11:00 AM - 11:30 AM Computational complexity of stabbing, visibility and radii computations Thorsten Theobald 11:30 AM - 12:00 PM Efficient algorithms for bichromatic separability Boris Aronov (New York University)
Oct 16, 2003
Thursday
 09:00 AM - 10:00 AM How to compute the volume? Santosh Vempala (Georgia Institute of Technology) 10:30 AM - 11:00 AM Output-sensitive construction of the union of triangles Eti Ezra 11:00 AM - 11:30 AM Monotone paths in line arrangements with a small number of directions Adrian Dumitrescu 02:00 PM - 02:30 PM Bipartite perfect matching in the plane Kasturi Varadarajan 02:30 PM - 03:00 PM Capturing topological and geometric features of molecular surfaces for protein docking Yusu Wang 03:30 PM - 04:30 PM Protein shape descriptors Patrice Koehl
Oct 17, 2003
Friday
 09:00 AM - 10:00 AM Approximation algorithms for diameter, width, and related problems Timothy Chan 10:30 AM - 11:00 AM Binary space partitions Csaba Toth 11:00 AM - 11:30 AM Learning about manifolds from samples Ulrich Wagner 11:30 AM - 12:00 PM Progressive simplification of tetrahedral meshes preserving all isosurface topologies Yi-Jen Chiang 02:00 PM - 03:00 PM Geometric computing with uncertain, missing, or overabundant data Bernard Chazelle
5. # WorkshopIntroductory Workshop in Discrete and Computational Geometry

Jesús A. De Loera, Herbert Edelsbrunner, Jacob E. Goodman, János Pach, Micha Sharir, Emo Welzl, and Günter M. Ziegler

Aug 20, 2003
Wednesday
 08:00 AM - 05:00 PM 4-Dimensional Polytopes, I Gunter Ziegler 08:00 AM - 05:00 PM 4-Dimensional Polytopes, II Gunter Ziegler 08:00 AM - 05:00 PM Topics in Combinatorial Differential Geometry, II Robin Forman 01:00 PM - 01:15 PM Welcome and Orientation by MSRI Staff Andrew Lucas 01:15 PM - 02:15 PM Quasicrystals and Discrete Geometry Jeffrey Lagarias (University of Michigan) 02:15 PM - 02:45 PM Afternoon Tea 02:45 PM - 03:45 PM Minimal Surfaces and Normal Surfaces in 3-Manifolds, I Joel Hass (University of California, Davis) 04:00 PM - 05:00 PM Folding and Unfolding: Linkage Folding Erik Demaine 05:00 PM - 06:00 PM Reception Andrew Lucas
Aug 21, 2003
Thursday
 09:00 AM - 10:00 AM Tropical Geometry, I Bernd Sturmfels (University of California, Berkeley) 10:00 AM - 10:30 AM Morning Tea 10:30 AM - 11:30 AM Minimal Surfaces and Normal Surfaces in 3-Manifolds, II Joel Hass (University of California, Davis) 12:00 PM - 02:30 PM Lunch Andrew Lucas 02:30 PM - 03:30 PM Density of Sphere Packings Jeffrey Lagarias (University of Michigan) 03:30 PM - 04:00 PM Afternoon Tea 04:00 PM - 05:00 PM Folding and Unfolding: Computational Origami Erik Demaine
Aug 22, 2003
Friday
 09:00 AM - 10:00 AM Tropical Geometry, II Bernd Sturmfels (University of California, Berkeley) 10:00 AM - 11:00 AM Euclidean Ramsey Theory Ronald Graham (University of California, San Diego) 11:00 AM - 11:30 AM Morning Tea 11:30 AM - 12:30 PM 4-Dimensional Polytopes Günter Ziegler (Freie Universität Berlin) 12:30 PM - 12:45 PM Lunch Andrew Lucas 12:45 PM - 01:45 PM Packing Equal Discs in Planar Regions Ronald Graham (University of California, San Diego) 01:45 PM - 02:15 PM Afternoon Tea 04:30 PM - 05:30 PM Folding and Unfolding: Folding Polygons to Convex Polyhedra Joe O'Rourke
Aug 23, 2003
Saturday
 09:00 AM - 10:00 AM Folding and Unfolding: Folding Polygons to Convex Polyhedra Joseph O'Rourke 09:00 AM - 10:00 AM Combinatorial Models for Solving Linear Programs 10:00 AM - 10:30 AM Morning Tea 10:30 AM - 11:30 AM 4-Dimensional Polytopes Günter Ziegler (Freie Universität Berlin) 11:30 AM - 02:00 PM Lunch 02:00 PM - 03:00 PM k-Sets and j-Facets Ulrich Wagner 03:00 PM - 03:30 PM Afternoon Tea 03:30 PM - 04:30 PM Folding and Unfolding: Unfolding Polyhedra Joseph O'Rourke
Aug 25, 2003
Monday
 09:00 AM - 10:00 AM Graphs and Skeleta of Polytopes, I Gil Kalai 10:00 AM - 10:30 AM Morning Tea 10:30 AM - 11:30 AM Computational Geometry and Robust Statistics David Eppstein 12:00 PM - 02:00 PM Lunch Andrew Lucas 02:00 PM - 03:00 PM Discrete Tomography: a Survey Richard Gardner 03:00 PM - 03:30 PM Afternoon Tea 04:10 PM - 05:10 PM MSRI-Evans Lecture: Combinatorial Convexity Imre Barany (Alfréd Rényi Institute of Mathematics)
Aug 26, 2003
Tuesday
 09:00 AM - 10:00 AM Graphs and Skeleta of Polytopes, II Gil Kalai 10:00 AM - 10:30 AM Morning Tea 10:30 AM - 11:30 AM Hyperbolic Geometry, Moebius Transformations and Geometric Optimization David Eppstein 12:00 PM - 02:30 PM Lunch Andrew Lucas 02:30 PM - 03:30 PM Reconstruction of Convex Bodies of Brightness Functions Richard Gardner 03:30 PM - 04:00 PM Afternoon Tea 04:00 PM - 05:00 PM Topics in Combinatorial Differential Geometry, I Robin Forman
Aug 27, 2003
Wednesday
 09:00 AM - 10:00 AM Finding Objects in the Delaunay Triangulation Annamaria Amenta (University of California, Davis) 10:00 AM - 10:30 AM Morning Tea 10:30 AM - 11:30 AM Geometric Graph Theory, I Janos Pach (École Polytechnique Fédérale de Lausanne (EPFL)) 12:00 PM - 02:30 PM Lunch Andrew Lucas 02:30 PM - 03:30 PM Complexity of Convex Bodies in Higher Dimensions, I Alexander Barvinok (University of Michigan) 03:30 PM - 04:00 PM Afternoon Tea 04:00 PM - 05:00 PM Topics in Combinatorial Differential Geometry Robin Forman
Aug 28, 2003
Thursday
 09:00 AM - 10:00 AM Actually Doing It: Algorithms and Programs for 3D Delaunay Triangulation Annamaria Amenta (University of California, Davis) 10:00 AM - 10:30 AM Morning Tea 10:30 AM - 11:30 AM Geometric Graph Theory, II Janos Pach (École Polytechnique Fédérale de Lausanne (EPFL)) 12:00 PM - 02:30 PM Lunch Andrew Lucas 03:30 PM - 03:30 PM Complexity of Convex Bodies in Higher Dimensions, II Alexander Barvinok (University of Michigan) 03:30 PM - 04:00 PM Afternoon Tea 04:00 PM - 05:00 PM Algebraic Topology Applied in Geometry Imre Barany (Alfréd Rényi Institute of Mathematics)
6. # WorkshopVon Neumann Symposium on Complex Geometry, Calibrations, and Special Holonomy

Robert Bryant (Co-chair), Simon Donaldson, H. Blaine Lawson, Richard Schoen, and Gang Tian (Co-chair)

Aug 11, 2003
Monday
 08:00 AM - 09:00 AM Morning Tea 09:00 AM - 10:00 AM Welcome, Orientation, Announcements, Resigstration Andrew Lucas 10:00 AM - 10:30 AM Break 10:30 AM - 12:00 PM Holonomy 1 Robert Bryant (Duke University) 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Complex Geometry 1 Zhiqin Lu (University of California, Irvine) 03:00 PM - 03:30 PM Afternoon Tea 03:30 PM - 04:30 PM Gauge Theory 1 Richard Thomas (Imperial College, London)
Aug 12, 2003
Tuesday
 08:00 AM - 09:00 AM Morning Tea 09:00 AM - 10:00 AM Holonomy 2 Robert Bryant (Duke University) 10:00 AM - 10:30 AM Break 10:30 AM - 12:00 PM Calibrations 1 H. Blaine Lawson (State University of New York, Stony Brook) 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Complex Geometry 2 Zhiqin Lu (University of California, Irvine) 03:00 PM - 03:30 PM Afternoon Tea 03:30 PM - 04:30 PM Gauge Theory 2 Richard Thomas (Imperial College, London)
Aug 13, 2003
Wednesday
 08:00 AM - 09:00 AM Morning Tea 09:00 AM - 10:00 AM Holonomy 3 Robert Bryant (Duke University) 10:00 AM - 10:30 AM Break 10:30 AM - 12:00 PM Calibrations 2 H. Blaine Lawson (State University of New York, Stony Brook) 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Complex Geometry 3 Zhiqin Lu (University of California, Irvine) 03:00 PM - 03:30 PM Afternoon Tea 03:30 PM - 04:30 PM Gauge Theory 3 Charles Thomas
Aug 14, 2003
Thursday
 08:00 AM - 09:00 AM Morning Tea 09:00 AM - 10:00 AM Holonomy 4 Robert Bryant (Duke University) 10:00 AM - 10:30 AM Break 10:30 AM - 12:00 PM Calibrations 3 H. Blaine Lawson (State University of New York, Stony Brook) 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Complex Geometry 4 Zhiqin Lu (University of California, Irvine) 03:00 PM - 03:30 PM Afternoon Tea 03:30 PM - 04:30 PM Gauge Theory 4 Charles Thomas
Aug 15, 2003
Friday
 08:00 AM - 09:00 AM Morning Tea 09:00 AM - 10:00 AM Kahler metrics and holomorphic foliations Gang Tian (Princeton University) 10:00 AM - 10:30 AM Break 10:30 AM - 11:30 AM Calibrated submanifolds with boundary: compact special Legendrian surfaces in $$S^5$$ Sung Wang 11:30 AM - 02:00 PM Lunch 02:00 PM - 03:00 PM Representations of surface groups and Hermitian symetric spaces Oscar Garcia-Prada (Consejo Superior de Investigaciones Científicas (CSIC)) 03:00 PM - 03:30 PM Afternoon Tea 03:30 PM - 04:30 PM The geometric complexity of special Lagrangian cones Mark Haskins (Imperial College, London)
Aug 16, 2003
Saturday
 08:00 AM - 09:00 AM Morning Tea 09:00 AM - 10:00 AM Closed ${\rm G}_2$ structures Robert Bryant (Duke University) 10:00 AM - 10:30 AM Break 10:30 AM - 11:30 AM Crepant resolutions of Calabi-Yau orbifolds Anda degeratu (Universität Stuttgart) 11:30 AM - 02:00 PM Lunch 02:00 PM - 03:00 PM Second order families of special Lagrangian 4-folds Eleny-Nicoleta Ionel (Stanford University) 03:00 PM - 03:30 PM Afternoon Tea 03:30 PM - 04:30 PM Deformations of Sturctures on Manifolds Spiros Karigiannis
Aug 18, 2003
Monday
 08:00 AM - 09:00 AM Morning Tea 09:00 AM - 10:00 AM The geometry of representations of surface groups in $$SL(n,R)$$ François Labourie (Université Côte d'Azur) 10:00 AM - 10:30 AM Break 10:30 AM - 11:30 AM Instantos and Lagrangians on manifolds with vector cross Naichung Leung 11:30 AM - 02:00 PM Lunch 02:00 PM - 03:00 PM Flat Lagrangian submanifolds in $$C^n$$ and $$CP^n$$ xiaowei wang (Rutgers University) 03:00 PM - 03:30 PM Afternoon Tea 03:30 PM - 04:30 PM Constructing $${\rm G}_2$$-metrics from nearly K\"ahler manifolds Shengli Kong
Aug 19, 2003
Tuesday
 08:00 AM - 09:00 AM Morning Tea 09:00 AM - 10:00 AM On a nonlinear Dirac equation and constant mean curvature surfaces Bernd Ammann (Universität Regensburg) 10:00 AM - 10:30 AM Break 10:30 AM - 11:30 AM Examples of associative, co-associative, and Cayley submanifolds Weiqing Gu 11:30 AM - 02:00 PM Lunch 02:00 PM - 03:00 PM Volume minimizing cycles in compact Lie groups Xiaobo Liu 03:00 PM - 03:30 PM Afternoon Tea 03:30 PM - 04:30 PM Constant scalar curvature metrics and the stability of Constant scalar curvature metrics and the stability of algebraic varieties Richard Thomas (Imperial College, London)
Aug 20, 2003
Wednesday
 08:00 AM - 09:00 AM Morning Tea 09:00 AM - 10:00 AM Minimal Lagrangian tori in CP^2 come in real families of every dimension Emma Carberry 10:00 AM - 10:30 AM Break 10:30 AM - 11:30 AM Generalized Hodge metrics and BCOV torsion Zhiqin Lu (University of California, Irvine)