Mathematical Sciences Research Institute

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Combinatorial and Discrete Geometry November 17, 2003 - November 21, 2003
Registration Deadline: November 21, 2003 over 16 years ago
To apply for Funding you must register by: August 17, 2003 almost 17 years ago
Parent Program:
Organizers Jesús A. De Loera, Jacob E. Goodman, János Pach and Günter M. Ziegler

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The focus of this workshop will be on discrete geometric objects (e.g. polyhedra, geometric graphs, sphere packings, tilings, lattices, etc.) and their combinatorial structure, stressing the connections between discrete geometry and algebra, combinatorics, and topology.
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
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To apply for funding, you must register by the funding application deadline displayed above.

Students, recent Ph.D.'s, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are typically made 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.

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MSRI does not hire an outside company to make hotel reservations for our workshop participants, or share the names and email addresses of our participants with an outside party. If you are contacted by a business that claims to represent MSRI and offers to book a hotel room for you, it is likely a scam. Please do not accept their services.

MSRI has preferred rates at the Hotel Shattuck Plaza, depending on room availability. Guests can call the hotel's main line at 510-845-7300 and ask for the MSRI- Mathematical Science Research Institute discount. To book online visit this page (the MSRI rate will automatically be applied).

MSRI has preferred rates at the Graduate Berkeley, depending on room availability. Reservations may be made by calling 510-845-8981. When making reservations, guests must request the MSRI preferred rate. Enter in the Promo Code MSRI123 (this code is not case sensitive).

MSRI has preferred rates at the Berkeley Lab Guest House, depending on room availability. Reservations may be made by calling 510-495-8000 or directly on their website. Select "Affiliated with the Space Sciences Lab, Lawrence Hall of Science or MSRI." When prompted for your UC Contact/Host, please list Chris Marshall (coord@msri.org).

MSRI has a preferred rates at Easton Hall and Gibbs Hall, depending on room availability. Guests can call the Reservations line at 510-204-0732 and ask for the MSRI- Mathematical Science Research Inst. rate. To book online visit this page, select "Request a Reservation" choose the dates you would like to stay and enter the code MSRI (this code is not case sensitive).

Additional lodging options may be found on our short term housing page.

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Schedule, Notes/Handouts & Videos
Show Schedule, Notes/Handouts & Videos
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Nov 17, 2003
08:00 AM - 09:00 AM
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
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
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 (University of Texas, Austin)
03:40 PM - 04:40 PM
  Apollonian packings: geometry and group Theory
Jeffrey Lagarias (University of Michigan)
Nov 19, 2003
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
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 (The University of Calgary)
05:20 PM - 06:20 PM
  Locally plane graphs and excluded submatrices
Gabor Tardos
Nov 21, 2003
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
Jiri Matousek