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Introductory Workshop in Hyperplane Arrangements and Applications
Aug 23, 2004 to Aug 27, 2004

Organizer(s)

Michael Falk, Peter Orlik (Chair), Alexander Suciu, Hiroaki Terao, and SergeyYuzvinsky
To apply for funding, you must register by Mon, Jul 12 2004.
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)

Funding

To apply for funding, you must register by Mon, Jul 12 2004. Click to Register
Students, recent Ph.D.'s, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are made typically 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.
Schedule
Monday, August 23, 2004
11:00AM - 12:00PM Michael Falk Introduction: The Combinatorics and Topology of Hyperplane Arrangements [Video available]
2:00PM - 3:00PM Sergey Yuzvinsky Orlik-Solomon Algebras from Different Angles [Video available]
3:30PM - 4:30PM Hiroaki Terao Free Arrangements of Hyperplanes (A Survey) [Video available]
Tuesday, August 24, 2004
9:30AM - 10:30AM Alexandru Suciu Fundamental Group and Characteristic Varieties [Video available]
11:00AM - 12:00PM Daniel Cohen Local Systems on Complements of Arrangements [Video available]
2:00PM - 3:00PM Richard Randell Fibrations, Isotopies and Cell Structures on Arrangements [Video available]
3:30PM - 4:30PM Hiroaki Terao Hypergeometric Integrals and Arrangements of Hyperplanes ( An Introduction Using the Classical Examples) [Video available]
Wednesday, August 25, 2004
9:30AM - 10:30AM Michael Falk Resonance Varieties [Video available]
11:00AM - 12:00PM Daniel Matei Arrangements and Massey Products [Video available]
Thursday, August 26, 2004
9:30AM - 10:30AM Alexandru Suciu Lie Algebras Associated to Arrangements [Video available]
11:00AM - 12:00PM Graham Denham Koszul Duality and the Homotopy Lie Algebra [Video available]
2:00PM - 3:00PM Stefan Papadima Applications of Morse Theory [Video available]
3:30PM - 4:30PM Henry Schenck Commutative and Homological Methods for Hyperplane Arrangements [Video available]
Friday, August 27, 2004
9:30AM - 10:30AM Daniel Cohen Boundary Manifolds of Arrangements [Video available]
11:00AM - 12:00PM Masahiko Yoshinaga Arrangements and Vector Bundles [Video available]
2:00PM - 3:00PM Multiple Speakers Problems and Demo I [Video available]
2:00PM - 3:00PM Multiple Speakers Problems and Demo II [Video available]
Parent Program(s):
Hyperplane Arrangements and Application


Questions about this workshop should be sent either by email to
or by regular mail to:
Introductory Workshop in Hyperplane Arrangements and Applications
Mathematical Sciences Research Institute
17 Gauss Way, Berkeley, CA
94720-5070.
USA

The Institute is committed to the principles of Equal Opportunity and Affirmative Action.



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