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Workshop

Recent Developments in Arrangements and Configuration Spaces August 07, 2006 - August 11, 2006
Registration Deadline: July 31, 2006 about 13 years ago
To apply for Funding you must register by: May 07, 2006 over 13 years ago
Parent Program: --
Organizers Michael Falk (Northern Arizona University), Eva-Maria Feichtner (University of Stuttgart), Hiroaki Terao (Tokyo Metropolitan University)
Speaker(s)

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Description
The purpose of this workshop is to assess and build upon progress in the theory of hyperplane arrangements and configuration spaces since the 2004 MSRI program Hyperplane Arrangements and Applications. The theory of arrangements is typified by its interdisciplinarity, an aspect that has become even more pronounced since the 2004 program. Topics covered in the workshop will range accordingly through combinatorics, commutative algebra, algebraic geometry, algebraic topology, singularity theory, representation theory, and geometric group theory. Specific topics to be covered may include: arrangements of hyperplanes, subspaces, tori, and rational varieties; freeness of arrangements, reflection groups, Artin groups, discriminants; configuration spaces, wonderful compactifications, moduli spaces and the related tropical theory, local systems, characteristic and resonance varieties, and invariants of fundamental groups and higher homotopy groups, applications, including generalized hypergeometric functions and the Bethe Ansatz, and topological robotics. The workshop is dedicated to Sergey Yuzvinsky, on the occasion of his 70th birthday. Schedule Monday, August 7 9:00 – 9:30 Registration 9:30 – 9:45 Welcome and Introduction 9:45 – 10:45 Alexander Varchenko, The B. and M. Shapiro conjecture in real algebraic geometry and the Bethe Ansatz 10:45 – 11:15 Morning Tea 11:15 – 12:15 Daniel Cohen, Resonance and critical points of arrangements 12:15 – 2:00 Lunch Break 2:00 – 3:00 Eric Rains, The homology of real De Concini-Procesi models 3:00 – 3:30 Afternoon Tea 3:30 – 4:00 Janis Stipins, k-nets and Line Arrangements in P^2 4:15 – 5:15 Bernd Sturmfels: Tropical Implicitization Tuesday, August 8 9:00 – 10:00 Hal Schenck: Fitting ideals and cohomology jump loci 10:00 – 10:30 Morning Tea 10:30 – 11:00 Anca Macinic, On the monodromy action on Milnor fibers of graphic arrangements 11:15 – 12:15 Graham Denham, Massey products and monomial ideals 12:15 – 2:00 Lunch break 2:00 – 3:00 Alex Suciu, Cohomology jumping loci, formality, and quasi-projectivity 3:00 – 3:30 Afternoon Tea 3:30 – 4:30 Michael Farber, Navigational complexity of collision free motion planning 5:00 – 7:00 Social Event Wednesday, August 9 9:00 – 10:00 Eric Babson: TBA 10:00 – 10:30 Morning Tea 10:30 – 11:00 Max Wakefield: Degeneration varieties 11:15 – 12:15 Dick Randell: Families of arrangements 12:15 – 5:00 No scheduled talks Thursday, August 10 9:00 – 10:00 Anne Shepler: Hochschild cohomology and graded Hecke Algebras 10:00 – 10:30 Morning Tea 10:30 – 11:00 Takuro Abe, The stability of $A_2$ and $B_2$-type arrangements 11:15 – 12:15 Masahiko Yoshinaga: Minimal CW-decomposition and applications 12:15 – 2:00 Lunch break 2:00 – 3:00 Laurentiu Maxim: Genera of complex varieties and singularities of proper maps 3:00 – 3:30 Afternoon Tea 3:30 – 4:00 Stefan Tohaneanu: Line-conic arrangements in P2 4:15 – 4:45 Emanuele Delucchi: A remark on Deligne's proof and the Weak Lattice Property Friday, August 11 9:00 – 10:00 Daniel Matei: Homology of fiber-type arrangement complements and configuration spaces 10:00 – 10:30 Morning Tea 10:30 – 11:00 Anne Shiu: Geometry of rank tests 11:15 – 12:15 Mario Salvetti: Some results on local system cohomologies of Artin groups 12:15 – 2:00 Lunch break 2:00 – 3:00 David Eisenbud (tentative): Asymptotic Regularity of Ideals 3:00 – 3:30 Afternoon Tea A block of rooms has been reserved at the Hotel Durant. Please mention the workshop name and reference the following code when making reservations via phone, fax or e-mail: JU0000. The cut-off date for reservations is July 7, 2006. A block of rooms has been reserved at the Rose Garden Inn. Please reference the following Group Code when making reservations via phone, e-mail or web (if booking via web, put the code in the Guest Comment field): CGMS27. The cut-off date for reservations is July 7, 2006.
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Funding & Logistics Show All Collapse

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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 07, 2006
Monday
09:45 AM - 10:45 AM
  The B. and M. Shapiro conjecture in real algebraic geometry and the Bethe Ansatz
Alexander Varchenko (University of North Carolina)
11:15 AM - 12:15 PM
  Resonance and critical points of arrangements
Daniel Cohen (Louisiana State University)
02:00 PM - 03:00 PM
  The homology of real De Concini-Procesi models
Eric Rains (California Institute of Technology)
03:30 PM - 04:00 PM
  k-nets and Line Arrangements in P^2
Janis Stipins
04:15 PM - 05:15 PM
  Tropical Implicitization
Bernd Sturmfels (University of California, Berkeley)
Aug 08, 2006
Tuesday
09:00 AM - 10:00 AM
  Fitting ideals and cohomology jump loci
Henry Schenck (Auburn University)
10:30 AM - 11:00 AM
  On the monodromy action on Milnor fibers of graphic arrangements
Anca Macinic
11:15 AM - 12:15 PM
  Massey products and monomial ideals
Graham Denham
02:00 PM - 03:00 PM
  Cohomology jumping loci, formality, and quasi-projectivity
Alexandru Suciu (Northeastern University)
03:30 PM - 04:30 PM
  Navigational complexity of collision free motion planning
Michael Farber
Aug 09, 2006
Wednesday
09:00 AM - 10:00 AM
  Moduli of Representations of Directed Graph Algebras
Eric Babson (University of California, Davis)
10:30 AM - 11:00 AM
  Degeneration varieties
Max Wakefield
11:15 AM - 12:15 PM
  Families of arrangements
Richard Randell
Aug 10, 2006
Thursday
10:30 AM - 11:00 AM
  The stability of $$A_2$$ and $$B_2$$-type arrangements
Takuro Abe
11:15 AM - 12:15 PM
  Minimal CW-decomposition and applications
Masahiko Yoshinaga
02:00 PM - 03:00 PM
  Genera of complex varieties and singularities of proper maps
Laurentiu Maxim (University of Wisconsin-Madison)
04:15 PM - 04:45 PM
  A remark on Deligne's proof and the Weak Lattice Property
Emanuele Delucchi
Aug 11, 2006
Friday
09:00 AM - 10:00 AM
  Homology of fiber-type arrangement complements and configuration spaces
Daniel Matei
10:30 AM - 11:00 AM
  Geometry of rank tests
Anne Shiu
11:15 AM - 12:15 PM
  Some results on local system cohomologies of Artin groups
Mario Salvetti
02:00 PM - 03:00 PM
  Asymptotic Regularity of Ideals
David Eisenbud (MSRI - Mathematical Sciences Research Institute)