Organizing Committee
Abstract

This workshop will bring together mathematicians working on combinatorial, geometric and topological properties of arrangements. In addition to fundamental open problems in the area, we will emphasize connections to tropical geometry, configuration spaces, and applications (coding theory, statistical economics, topological robotics), building bridges between those working on different aspects of the area. The main aim of the workshop is to discuss computational issues that arise in studying topological and combinatorial invariants of arrangements.

The workshop will be comprised of two main activities: A series of short courses by leading experts and research or expository talks. The short courses will be aimed at a broad audience; in particular they will be appropriate for advanced graduate students and early career mathematicians. In addition to theory, talks will highlight computational aspects of the problems, and the state of the art on the main open conjectures in the field. We will also have a pair of research talks each afternoon.

The Simpson lines of a triangle trace out a deltoid. If you divide the circle into 3n number of intervals, draw the corresponding Simpson lines, and alternate three colors then the result is a 3-net (or web). The existence of nets are a crux in understanding various topological properties in arrangement theory.

Confirmed Speakers & Participants

Workshop Schedule

Monday, July 6, 2015
TimeEventLocationMaterials
8:30 - 8:55Registration11th Floor Collaborative Space 
8:55 - 9:00Welcome - ICERM Director11th Floor Lecture Hall 
9:00 - 9:30Splines on the Alfeld split of a simplex: approximation theory meets hyperplane arrangements - Hal Schenck, University of Illinois at Urbana-Champaign11th Floor Lecture Hall 
9:45 - 10:15Chen ranks of arrangement groups - Daniel Cohen, Louisiana State University11th Floor Lecture Hall
10:30 - 11:00Coffee/Tea Break11th Floor Collaborative Space 
11:00 - 11:45Hyperplane arrangements and cohomology jump loci - Alex Suciu, Northeastern University 11th Floor Lecture Hall 
12:00 - 1:45Break for Lunch   
1:45 - 2:30Characteristic classes and arrangements I - Paolo Aluffi, Florida State University11th Floor Lecture Hall
2:45 - 3:15Coffee/Tea Break11th Floor Collaborative Space 
3:15 - 4:00 On graphic arrangement groups - Michael Falk, Northern Arizona University11th Floor Lecture Hall
4:15 - 5:00Annihilators of powers of arrangements. - Uli Walther, Purdue University11th Floor Lecture Hall
5:15 - 6:30Welcome Reception11th Floor Collaborative Space 
Tuesday, July 7, 2015
TimeEventLocationMaterials
9:00 - 9:30Formality properties, resonance varieties and Chen ranks - He Wang, Northeastern University11th Floor Lecture Hall 
9:45 - 10:15Residual finiteness and torsion-freeness of arrangement groups - Thomas Koberda, Yale University11th Floor Lecture Hall
10:30 - 11:00Coffee/Tea Break11th Floor Collaborative Space 
11:00 - 11:45Arrangements and tropical geometry I - Eva Feichtner, Universität Bremen11th Floor Lecture Hall 
12:00 - 1:45Break for Lunch   
1:45 - 2:30Characteristic classes and arrangements II - Paolo Aluffi, Florida State University11th Floor Lecture Hall
2:45 - 3:15Coffee/Tea Break11th Floor Collaborative Space 
3:15 - 4:00Tropical schemes - Diane Maclagan, University of Warwick11th Floor Lecture Hall
4:15 - 5:00Hodge theory and combinatorics - June Huh, Institute for Advanced Study11th Floor Lecture Hall
Wednesday, July 8, 2015
TimeEventLocationMaterials
9:00 - 9:30Topology of Complements - Daniel Matei, Institute of Mathematics "Simion Stoilow" of the Romanian Academy11th FLoor Lecture Hall 
9:45 - 10:15Some remarks on local system cohomology over arrangements. - Mario Salvetti, Università di Pisa11th Floor Lecture Hall
10:30 - 11:00Coffee/Tea Break11th Floor Collaborative Space 
11:00 - 11:45Hyperplane arrangements and Milnor fibrations - Alex Suciu, Northeastern University 11th Floor Lecture Hall 
11:45 - 12:00Group Photo  
12:00 - 1:45Break for Lunch   
1:45 - 2:30Arrangements and tropical geometry II - Eva Feichtner, Universität Bremen11th Floor Lecture Hall 
2:45 - 3:30Supersolvable arrangements: higher topological complexity of the complements, randomness. - Sergey Yuzvinsky, University of Oregon11th Floor Lecture Hall 
3:45 - 5:30Poster Session11th Floor Collaborative Space and Lecture Hall 
Thursday, July 9, 2015
TimeEventLocationMaterials
9:00 - 9:30Hyperplane arrangements and Eulerian polynomials. - Masahiko Yoshinaga, Hokkaido University11th Floor Lecture Hall
9:45 - 10:15An arithmetic Zariski pair of line arrangements with non-isomorphic fundamental group - Enrique Artal Bartolo, Universidad de Zaragoza11th Floor Lecture Hall
10:30 - 11:00Coffee/Tea Break11th Floor Collaborative Space 
11:00 - 11:30Cohomology of elliptic arrangements - Christin Bibby, University of Western Ontario11th Floor Lecture Hall
11:45 - 12:15On twisted Alexander invariants and applications to the Milnor fiber of a hyperplane arrangement. - KaiHo Wong, University of Wisconsin11th Floor Lecture Hall
12:30 - 1:45Break for Lunch   
1:45 - 2:15Cohomology of Algebraic Plane Curves - Nancy Abdallah, Université de Nice Sophia Antipolis11th Floor Lecture Hall
2:30 - 3:00Degeneration of Orlik-Solomon Algebras and Milnor Fibers of Complex Line Arrangements - Pauline Bailet, Université de Nice Sophia Antipolis11th Floor Lecture Hall
3:15 - 3:45Coffe/Tea Break11th Floor Collaborative Space 
3:45 - 5:00Problem Session11th Floor Lecture Hall 
Friday, July 10, 2015
TimeEventLocationMaterials
9:00 - 9:30Ideal Free Theorem and Saturated Free Filtrations of Affine Weyl Arrangements - Hiroaki Terao, Hokkaido University11th Floor Lecture Hall
9:45 - 10:15Resonance and syzygies - Graham Denham, University of Western Ontario11th Floor Lecture Hall 
10:30 - 11:00Coffee/Tea Break11th Floor Collaborative Space 
11:00 - 11:30Higher-Order Degrees of Complex Hypersurface Complements - Yun Su, University of Wisconsin11th Floor Lecture Hall
11:45 - 12:15Characteristic Varieties of Hypersurface Complements - Yongqiang Liu, University of Science and Technology of China11th Floor Lecture Hall
12:30 - 1:15The Grunbaum-Hadwiger-Ramos hyperplane mass partition problem - Pavle Blagojevic, Freie Universität Berlin11th Floor Lecture Hall
1:30 - 5:00Open for collaboration   

Lecture Videos

Characteristic Varieties of Hypersurface Complements

Yongqiang Liu
University of Science and Technology of China
July 10, 2015

Resonance and syzygies

Graham Denham
University of Western Ontario
July 10, 2015

Cohomology of Algebraic Plane Curves

Nancy Abdallah
Université de Nice Sophia Antipolis
July 9, 2015

Topology of Complements

Daniel Matei
Institute of Mathematics "Simion Stoilow" of the Romanian Academy
July 8, 2015

Tropical schemes

Diane Maclagan
University of Warwick
July 7, 2015