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Workshop

Introductory Workshop in Hyperplane Arrangements and Applications August 23, 2004 - August 27, 2004
Registration Deadline: August 27, 2004 about 15 years ago
To apply for Funding you must register by: May 23, 2004 over 15 years ago
Parent Program:
Organizers Michael Falk, Peter Orlik (Chair), Alexander Suciu, Hiroaki Terao, and SergeyYuzvinsky
Description
From its origins in the study of braids, discriminants, and configuration spaces, there has developed a rich and rapidly-growing theory of complex hyperplane arrangements. Among its many attractive features, perhaps the main one is the strong interaction between the topological, geometric, algebraic, combinatorial, and analytic aspects of arrangements. Arrangements play vital roles in many different areas, and provide a fertile source of examples and problems to which one may apply one's "favorite tool", often with positive results. Techniques developed for the study of arrangements have been successfully exported to other settings. With a history that reaches back only thirty-five years, this relatively young field affords many opportunities for newcomers. This workshop is intended as an introduction to the theory of hyperplane arrangements for mathematical scientists not (yet) active in the field, or just entering it; aimed particularly at graduate students and postdocs and at researchers who may already be working in other but related areas. Talks will range from introductory lectures on the history and main "classical" results, to surveys of the most active areas of current research, to talks by younger researchers on important recent advances. Speakers: Daniel C. Cohen (Louisiana State University) Graham Denham (University of Western Ontario) Michael Falk (Northern Arizona University) Daniel Matei (MSRI) Stefan Papadima (Romanian Institute of Mathematics) Richard Randell (University of Iowa) Hal Schenck (Texas A&M University) Alexandru Suciu (Northeastern University) Hiroaki Terao (Tokyo Metropolitan University) Masahiko Yoshinaga (RIMS) Sergey Yuzvinsky (University of Oregon)
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
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Aug 23, 2004
Monday
11:00 AM - 12:00 PM
  Introduction: The Combinatorics and Topology of Hyperplane Arrangements
Michael Falk (Northern Arizona University)
02:00 PM - 03:00 PM
  Orlik-Solomon Algebras from Different Angles
Sergey Yuzvinsky (University of Oregon)
03:30 PM - 04:30 PM
  Free Arrangements of Hyperplanes (A Survey)
Hiroaki Terao (Hokkaido University)
Aug 24, 2004
Tuesday
09:30 AM - 10:30 AM
  Fundamental Group and Characteristic Varieties
Alexandru Suciu (Northeastern University)
11:00 AM - 12:00 PM
  Local Systems on Complements of Arrangements
Daniel Cohen (Louisiana State University)
02:00 PM - 03:00 PM
  Fibrations, Isotopies and Cell Structures on Arrangements
Richard Randell
03:30 PM - 04:30 PM
  Hypergeometric Integrals and Arrangements of Hyperplanes ( An Introduction Using the Classical Examples)
Hiroaki Terao (Hokkaido University)
Aug 25, 2004
Wednesday
09:30 AM - 10:30 AM
  Resonance Varieties
Michael Falk (Northern Arizona University)
11:00 AM - 12:00 PM
  Arrangements and Massey Products
Daniel Matei
Aug 26, 2004
Thursday
09:30 AM - 10:30 AM
  Lie Algebras Associated to Arrangements
Alexandru Suciu (Northeastern University)
11:00 AM - 12:00 PM
  Koszul Duality and the Homotopy Lie Algebra
Graham Denham
02:00 PM - 03:00 PM
  Applications of Morse Theory
Stefan Papadima
03:30 PM - 04:30 PM
  Commutative and Homological Methods for Hyperplane Arrangements
Henry Schenck (Auburn University)
Aug 27, 2004
Friday
09:30 AM - 10:30 AM
  Boundary Manifolds of Arrangements
Daniel Cohen (Louisiana State University)
11:00 AM - 12:00 PM
  Arrangements and Vector Bundles
Masahiko Yoshinaga
02:00 PM - 03:00 PM
  Problems and Demo I
Multiple Speakers
02:00 PM - 03:00 PM
  Problems and Demo II
Multiple Speakers