MSRI Summer Graduate School

Hyperplane Arrangements and Applications

Organized by the Mathematical Sciences Research Institute
at the University of Oregon, in Eugene, OR
August 2-13, 2004
 
Speakers
 
Michael Falk,   Northern Arizona University
Alexander Suciu,   Northeastern University
Hiroaki Terao,   Tokyo Metropolitan University
Sergey Yuzvinsky,   University of Oregon

Participants

Chris Bremer, University of Chicago Kenneth Chu, University of Utah
Marcus Fries, Northeastern University Michael Guy, University of Georgia
Melissa Hendrick, University of Nebraska Justin James, University of Nebraska
Tao Jin, University of Rochester Ben Jones, University of Notre Dame
Kris Kohrs, University of Kentucky Patricia Muldoon, University of Kentucky
Emily Peters, University of Calfornia, Berkeley Goderdzi Pruidze, Louisiana State University
Raed Raffoul, University of New South Wales Dean Serenevy, Northeastern University
Justin Sinz, University of Chicago Joe Spivey, Duke University
Gueorgui Todorov, University of Utah Stefan Tohaneanu, Texas A&M University
Cynthia Traub, Washington University, Saint Louis Max Wakefield, University of Oregon
Karen Yeats, Boston University

Program

August 2 Falk:   Homotopy models for line arrangements
Suciu:   Configuration spaces and braid groups
August 3 Suciu:   Braid monodromy and fundamental group
Yuzvinsky:   Orlik-Solomon algebras and combinatorial complexes
Reception
August 4 Terao:   Reflection arrangements
Yuzvinsky:   The cohomology ring of an arrangement complement
August 5 Terao:   Free arrangements
Office hours.   Homework 1,   Homework 2
August 6 Falk:   Topological classification of arrangements
Suciu:   Fox calculus and Alexander matrices
Suciu:   Computer demo: Introduction to GAP and Macaulay 2
Serenevy:   Computer demo: The GAP "Arrangements" package
August 8 Hike in the Three Sisters wilderness area. [Pics 1] · [Pic 2]
August 9 Terao:   Hypergeometric integrals
Yuzvinsky:   Cohomology of OS algebras and genericity conditions
August 10 Falk:   Matroids and realization spaces
Suciu:   Characteristic varieties
Office hours.   Homework 3
August 11 Falk:   Resonance varieties
Suciu:   Finite-index subgroups and Milnor fibrations
August 12 Problem session I
Problem session II
August 13 Falk:   Line structure of resonance varieties
Falk:   The classical LCS formula
Suciu:   Nilpotent quotients and resonance LCS formulas

The course notes were taken by Max Wakefield.
Here is the Table of Contents and the Reference List.
And here is the complete Set of Notes, in one big pdf file.


  Web page:  Alex Suciu Started: Aug. 14, 2004
Last updated: February 8, 2023