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Topology of Arrangements and Applications October 04, 2004 - October 08, 2004
Registration Deadline: October 08, 2004 almost 20 years ago
To apply for Funding you must register by: July 04, 2004 about 20 years ago
Parent Program:
Organizers Daniel C. Cohen, Michael Falk (chair), Peter Orlik, Inna Scherbak, Alexandru Suciu, Hiroaki Terao, Sergey Yuzvinsky

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This workshop will be part of MSRI's Special Semester in Hyperplane Arrangements and Applications. The topology of hyperplane arrangements involves a wide range of algebraic and combinatorial as well as topological methods. The main applications are to generalized hypergeometric functions, Knizhnik-Zamolodchikov equations, topology of configuration spaces, and representations of braid and artin groups. This workshop will focus on these and other topics, including homotopy type and fundamental groups, higher homotopy groups, cohomology support loci (resonance and characteristic varieties), Milnor fibers, cohomology of artin groups, braids and configuration spaces, Gauss-Manin connections, KZ and qKZ equations. Confirmed speakers: Enrique Artal-Bartolo Anatoly Libgober Eduard Looijenga Michael Davis Fred Cohen Michael Farber Toshitake Kohno Dmitry Panov Richard Scott Dev Sinha Alexander Varchenko Monday, October 4 9:00-9:45 Registration 9:45-10:00 Welcome and Introduction 10:00-11:00 Peter Orlik Gauss-Manin connections for arrangements. 11:00-11:15 Morning Tea (Sixth floor) 11:15-12:15 Eduard Looijenga Arrangements and moduli. 12:15-2:00 Lunch Break 2:00-3:00 Michael Davis L2-cohomology of artin groups and hyperplane complements. 3:00-3:30 Afternoon Tea (Sixth floor) 3:30-4:30 Stefan Papadima On a question of Serre: the role of the Alexander invariant. Tuesday, October 5 9:30-10:30 Dev Sinha Models for configuration spaces. 10:30-11:00 Morning Tea (Sixth floor) 11:00-12:00 Edward Frenkel Gaudin model and opers. 12:00-2:00 Lunch Break 2:00-3:00 Alexander Varchenko Bethe ansatz for arrangements of hyperplanes and the Gaudin model. 3:00-3:30 Afternoon Tea (Sixth floor) 3:30-4:00 Paul Hacking Moduli of hyperplane arrangements. 4:15-4:45 Karl-Dieter Crisman Chow groups of zero-cycles relative to hyperplane arrangements. 4:45 - 5:45 Reception (Sixth floor) Wednesday, October 6 9:30-10:30 Frederick Cohen Connections between braid groups, homotopy theory,and low dimensional topology. 10:30-11:00 Morning Tea (Sixth floor) 11:00-12:00 Toshitake Kohno Schlafli functions and iterated integrals on configuration spaces. 12:00-5:00 No scheduled talks Thurday, October 7 9:30-10:30 Enrique Artal-Bartolo Fundamental group, topology and combinatorics of line arrangements. 10:30-11:00 Morning Tea (Sixth floor) 11:00-12:00 Anatoly Libgober Arrangements with isolated non normal crossings. 12:00-2:00 Lunch Break 2:00-3:00 Susumu Tanabe Weight filtration of the mixed Hodge structure of period integrals and hyperplane arrangement. 3:00-3:30 Afternoon Tea (Sixth floor) 3:30-4:00 Laurentiu Maxim Intersection homology and Alexander modules of hypersurface complements. 4:15-4:45 Daniel Matei Homology of resonant local systems. Friday, October 8 9:30-10:30 Inna Scherbak Arrangements in the Schubert calculus of Grassmannians. 10:30-11:00 Morning Tea (Sixth floor) 11:00-12:00 Mario Salvetti On the genus of configuration spaces. 12:00-2:00 Lunch Break 2:00-3:00 Katsuhisa Mimachi Regularizable cycles associated with a Selberg type integral under some resonance condition. 3:00-3:30 Afternoon Tea (Sixth floor) 3:30-4:30 Richard Scott Blow-ups and complements in zonotopal complexes.
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 PhDs, 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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For information about recommended hotels for visits of under 30 days, visit Short-Term Housing. Questions? Contact coord@slmath.org.

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Schedule, Notes/Handouts & Videos
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Oct 04, 2004
10:00 AM - 11:00 AM
  Gauss-Manin Connections for Arrangements.
Peter Orlik (Central Michigan University)
11:15 AM - 12:15 PM
  Arrangements and Moduli.
Eduard Looijenga
02:00 PM - 03:00 PM
  L2-Cohomology of Artin Groups and Hyperplane Complements.
Michael Davis (Ohio State University)
03:30 PM - 04:30 PM
  On a Question of Serre: The Role of the Alexander Invariant.
Stefan Papadima
Oct 05, 2004
09:30 AM - 10:30 AM
  Models for Configuration Spaces.
Dev Sinha (University of Oregon)
11:00 AM - 11:45 AM
  Schlafi Functions and Iterated Integrals on Configuration Spaces.
Toshitake Kohno (University of Tokyo)
11:00 AM - 12:00 PM
  Gaudin Model and Opers.
Edward Frenkel (University of California, Berkeley)
02:00 PM - 02:45 PM
  Bethe Ansatz for Arrangements of Hyperplanes and the Gaudin Model.
Alexander Varchenko (University of North Carolina)
03:30 PM - 04:00 PM
  Moduli of Hyperplane Arrangements.
Paul Hacking (University of Massachusetts, Amherst)
04:00 PM - 04:45 PM
  Chow Groups of Zero-Cycles Relative to Hyperplane Arrangements.
Karl-Dieter Crisman
Oct 06, 2004
09:30 AM - 10:30 AM
  Connections Between Braid Groups, Homotopy Theory, and Low Dimensional Topology.
Frederick Cohen
Oct 07, 2004
09:30 AM - 10:30 AM
  Fundamental Group, Topology and Combinatorics of Line Arrangements.
Enrique Artal Bartolo
11:00 AM - 11:50 AM
  Arrangements with Isolated Non Noraml Crossings.
Anatoly Libgober (University of Illinois, Chicago)
02:00 PM - 02:45 PM
  Weight Filtration of the Mixed Hodge Structure of Period Integrals and Hyperplane Arrangements.
Susumu Tanabe
03:30 PM - 04:00 PM
  Intersection Homology and Alexander Modules of Hypersurface Complements.
Laurentiu Maxim
04:00 PM - 04:40 PM
  Homology of Resonant Local Systems.
Daniel Matei
Oct 08, 2004
09:30 AM - 10:30 AM
  Arrangements in the Schubert Calculus of Grassmannians.
Inna Scherbak (Tel Aviv University)
11:00 AM - 11:55 AM
  On the Genus of Configuration Spaces.
Mario Salvetti (Università di Pisa)
02:00 PM - 02:45 PM
  Regularizable Cycles Associated eith a Selberg Type Integral Under Some Resonance Condition.
Katsuhisa Mimachi
03:30 PM - 04:30 PM
  Blow-ups and Complements in Zonotopal Complexes.
Richard Scott (Santa Clara University)