Workshop: GEOMETRIC COMBINATORICS

Sunday May 23 through Thursday May 27, 2004
at the Mathematical Sciences Research Institute, Berkeley, CA

Here are some materials from the workshop:

• Preparatory Problems.
• Intro Materials, Schedule, Open Problems, Undergraduate Research Principles
• Some Lecture Outlines (draft)
• References for the Lectures

Here are some other introductory materials:

• Wenger: Helly-type theorems and geometric transversals, (a preprint version from CiteSeer).
• Henk, Richter-Gebert, Ziegler: Basic Properties of Convex Polytopes, (a preprint version from CiteSeer).
• Su: Rental harmony: Sperner's lemma in fair division (a preprint version, related papers can be found here).
• Richter-Gebert, Sturmfels, Theobald: First steps in tropical geometry. (This is not the article that was handed out in our workshop, but another first article on the subject; related papers can be found by doing a tropical search on the ArXiv).

Notes from our group discussion on challenges in guiding undergraduate research.

Here are some of the slides from participant presentations:

• Shubin - where to use these ideas in courses
• Vajiac - a GE course in geometric combinatorics
• Tattersall - a generalization of convexity
• Chavez - ideas for a discrete or graph theory course
• Christopher - Sperner questions
• Gottlieb - project ideas, courses, attracting students
• Straffin - three problem solutions
• Saveliev - topological Helly theorems
• Van Wyk - polytopes and Cayley graphs

Here are some pictures!

• A photo of all of us (from Peter Saveliev)
• Another photo of all of us
• All of us in front of MSRI
• San Francisco excursion (from Peter Saveliev)

Here are some useful toys:

• A link where you can buy ZomeTool struts and other things for building polyhedral models.

Go to the original workshop page.