Configuration Spaces, Softcover reprint of the original 1st ed. 2016 Geometry, Topology and Representation Theory Springer INdAM Series, Vol. 14

This book collects the scientific contributions of a group of leading experts who took part in the INdAM Meeting held in Cortona in September 2014. With combinatorial techniques as the central theme, it focuses on recent developments in configuration spaces from various perspectives. It also discusses their applications in areas ranging from representation theory, toric geometry and geometric group theory to applied algebraic topology.

1 Alexander I. Suciu: Around the tangent Cone Theorem.- 2 Graham Denham: Higher Resonance Varieties of Matroids.- 3 Nicole Berline and Michèle Vergne: Local asymptotic Euler-Maclaurin Expansion for Riemann Sums over a semi-rational Polyhedron.- 4 Andrzej Weber: Leray spectral Sequence for Complements of certain Arrangements of smooth Submanifolds.- 5 Sergey Yuzvinsky: Higher topological Complexity of Artin Type Groups.- 6 Armindo Costa and Michael Farber: Random simplicial Complexes.- 7 Dmitry N. Kozlov: Combinatorial Topology of the standard chromatic Subdivision and Weak Symmetry Breaking for 6 Processes.- 8 Emanuele Delucchi and Tim Lindemann: Cryptomorphisms for abstract Rigidity Matroids.- 9 Jeremiah Bartz: Induced and complete Multinets.- 10 Alexandru Dimca and Gus Lehrer: Cohomology of the Milnor Fibre of a Hyperplane Arrangement with Symmetry.- 11 Mario Salvetti and Matteo Serventi: On the twisted Cohomology of a_ne Line Arrangements.- 12 Elizabeth Leyton Chisholm and Jon McCammond: Braid Groups and euclidean Simplices.- 13 Rita Jiménez Rolland: The Cohomology of M0,n as an FI-module.- 14 Matthias Franz: Syzygies in equivariant Cohomology for non-abelian Lie Groups.- 15 Frederick R. Cohen and Mentor Stafa: A Survey on Spaces of Homomorphisms to Lie Groups.

Filippo Callegaro was born in 1980. He received a PhD in Mathematics from Scuola Normale Superiore of Pisa under the direction of Mario Salvetti in 2007.  In 2008 he was offered a research position at the Scuola Normale. In 2013 he switched to the University of Pisa, where his work focuses on the topology of configuration spaces, cohomology of braid groups and generalizations, hyperplane and toric arrangements.

Frederick R. Cohen was born in 1945. He received a PhD in Mathematics from the University of Chicago under the direction of Peter May. He has been a professor of Mathematics at the University of Rochester since 1988. He has been a visiting scholar at the Institute for Advanced Studies, the Institute for Mathematics and its Applications and the Centro di Ricerca Matematica Ennio De Giorgi, as well as the University of Pennsylvania, MIT, and Stanford. He has served on the editorial boards of Algebraic and Geometric Topology, Forum Mathematicum, and the Journal of Homotopy Theory and Related Structures. He has worked in homotopy theory, the topology of configuration spaces, the cohomology and related properties of braid groups on surfaces, and toric topology, as well as applied problem concerning sensor counting and robotic motion.

Corrado De Concini was born in 1949. He received a Ph.D. in Mathematics from the University of Warwick under the direction of George Lusztig in 1975. He has been a Professor of Mathematics since 1983. Since 1996 he has been a professor at the University of Roma, La Sapienza. He has been a visiting scholar at Brandeis University, Mittag Leffler Institute, Tata Institute of Fundamental Research, Harvard University, MIT, Université de Paris VI, IHES, MSRI, and the École Normale Supérieure of Paris. He serves on the editorial boards of Rendiconti Accademia Nazionale dei Lincei, Journal of Transformation Groups, IMRN, Rendiconti di Matematica, Rendiconti del Seminario Matematic