Computational Geometric Topology in Arrangement Theory
(July 610, 2015)
If you divide the circle into 3n number of intervals,
draw the corresponding Simpson lines, and alternate
three colors then the result is a 3net (or web). The
existence of nets are a crux in understanding
various topological properties in arrangement theory.
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.
Organizing Committee
 Nero Budur
(KU Leuven and University of Notre Dame)  Graham Denham
(Univ. Western Ontario)  Anca Daniela Macinic
(IMAR, Bucharest)  Daniel Matei
(IMAR, Bucharest)  Laurentiu Maxim
(UWMadison)  Hal Schenck
(UIUC)  Max Wakeﬁeld
(US Naval Academy)



Friday  July 10, 2015  

Time  Description  Speaker  Location  Abstracts  Slides 
9:00  9:30  Ideal Free Theorem and Saturated Free Filtrations of Affine Weyl Arrangements  Hiroaki Terao, Hokkaido University  11th Floor Lecture Hall  
9:45  10:15  Resonance and syzygies  Graham Denham, University of Western Ontario  11th Floor Lecture Hall  
10:30  11:00  Coffee/Tea Break  11th Floor Collaborative Space  
11:00  11:30  HigherOrder Degrees of Complex Hypersurface Complements  Yun Su, University of Wisconsin  11th Floor Lecture Hall  
11:45  12:15  Characteristic Varieties of Hypersurface Complements  Yongqiang Liu, University of Science and Technology of China  11th Floor Lecture Hall  
12:30  1:15  The GrunbaumHadwigerRamos hyperplane mass partition problem  Pavle Blagojevic, Freie Universität Berlin  11th Floor Lecture Hall  
1:30  5:00  Open for collaboration 