Workshop

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.