Configuration Spaces: Geometry, Topology and Representation Theory: Springer INdAM Series, cartea 14
Editat de Filippo Callegaro, Frederick Cohen, Corrado De Concini, Eva Maria Feichtner, Giovanni Gaiffi, Mario Salvettien Limba Engleză Paperback – 7 aug 2016
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Specificații
ISBN-13: 9783319315812
ISBN-10: 3319315811
Dimensiuni: 155 x 235 mm
Greutate: 0.55 kg
Ediția:1st ed. 2016
Editura: Springer
Colecția Springer
Seria Springer INdAM Series
Locul publicării:Cham, Switzerland
ISBN-10: 3319315811
Dimensiuni: 155 x 235 mm
Greutate: 0.55 kg
Ediția:1st ed. 2016
Editura: Springer
Colecția Springer
Seria Springer INdAM Series
Locul publicării:Cham, Switzerland
Cuprins
1 Alexander I.Suciu: Around the tangent Cone Theorem.- 2 Graham Denham: Higher ResonanceVarieties of Matroids.- 3 Nicole Berline and Michèle Vergne: Local asymptoticEuler-Maclaurin Expansion for Riemann Sums over a semi-rational Polyhedron.- 4 AndrzejWeber: Leray spectral Sequence for Complements of certain Arrangements ofsmooth Submanifolds.- 5 Sergey Yuzvinsky: Higher topological Complexity ofArtin Type Groups.- 6 Armindo Costa and Michael Farber: Random simplicialComplexes.- 7 Dmitry N. Kozlov: Combinatorial Topology of the standardchromatic Subdivision and Weak Symmetry Breaking for 6 Processes.- 8 EmanueleDelucchi and Tim Lindemann: Cryptomorphisms for abstract Rigidity Matroids.- 9 JeremiahBartz: Induced and complete Multinets.- 10 Alexandru Dimca and Gus Lehrer: Cohomologyof the Milnor Fibre of a Hyperplane Arrangement with Symmetry.- 11 MarioSalvetti and Matteo Serventi: On the twisted Cohomology of a_ne Line Arrangements.-12 Elizabeth Leyton Chisholm and Jon McCammond: Braid Groups and euclideanSimplices.- 13 Rita Jiménez Rolland: The Cohomology of M0,n as an FI-module.-14 Matthias Franz: Syzygies in equivariant Cohomology for non-abelian LieGroups.- 15 Frederick R. Cohen and Mentor Stafa: A Survey on Spaces ofHomomorphisms to Lie Groups.
Notă biografică
Filippo Callegaro was bornin 1980. He received a PhD in Mathematics from Scuola Normale Superiore of Pisaunder the direction of Mario Salvetti in 2007. In 2008 he was offered a research position at the Scuola Normale. In2013 he switched to the University of Pisa, where his work focuses on the topologyof 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 wasborn in 1949. He received a Ph.D. in Mathematics from the University of Warwickunder the direction of George Lusztig in 1975. He has been a Professor ofMathematics since 1983. Since 1996 he has been a professor at the University ofRoma, La Sapienza. He has been a visiting scholar at Brandeis University,Mittag Leffler Institute, Tata Institute of Fundamental Research, HarvardUniversity, MIT, Université de Paris VI, IHES, MSRI, and the École NormaleSupérieure of Paris. He serves on the editorial boards of Rendiconti AccademiaNazionale dei Lincei, Journal of Transformation Groups, IMRN, Rendiconti diMatematica, Rendiconti del Seminario Matematico-Padova, and Communications inContemporary Mathematics. He was a plenary speaker for the European Congress ofMathematics (Paris) in 1992. He has made important contributions to severalareas of algebra and algebraic geometry, e.g. invariant theory, commutativealgebra, algebraic and quantic group theory, the Schottky problem, and hyperplanearrangements.
Eva-Maria Feichtner was bornin 1972. She received a PhD in mathematics from TU Berlin in 1997. After postdoctoral appointmentsat MIT and at the Institute for Advanced Studies, she was an assistant professor at ETH Zurich and wasawarded a research professorship from the Swiss National Science Foundation. In2006 she was appointed professor of topology at the University of Stuttgart;since 2007 she has served as a professor of algebra at the University of Bremen,where she co-directs the Institute for Algebra, Geometry, Topology and theirApplications (ALTA). She has been a visiting scholar at many researchinstitutions, notably at MSRI, Berkeley, as research professor and as programorganizer. Her research interests lie in the interplay of algebra, geometry,topology and combinatorics, notably in arrangements of hyperplanes, toricvarieties and tropical geometry. She serves on the editorial board of Advancesin Applied Mathematics.
Giovanni Gaiffi was bornin 1970. He received his degree in Mathematics from the University of Pisa in1993 and attended the Scuola Normale, where he also completed his PhD inMathematics under the direction of Corrado De Concini in 1999. In 1997 he wasoffered a research position at the Scuola Normale, before switching to theUniversity of Pisa as an associate professor in 2005. His field of interest mainlyconcerns algebra, in particular Lie theory, representation theory, and theirinterplay with combinatorics and algebraic topology. He has organized internationalconferences and is co-author of the educational book ‘Giochi e PercorsiMatematici’ released by Springer-Italia.
Mario Salvetti was born in1957. He received a degree in Mathematics from the University of Pisa and was a“perfezionando” at the Scuola Normale in Pisa. He has been a Professor ofMathematics since 1992, and in Pisa since 2000. He has been a visiting scholar atColumbia University, Moscow State University (at the “Gelfand Seminar”),Graduate School of Mathematical Sciences in Tokyo, and MSRI. He has served onthe organizing and scientific committees of international conferences andmeetings in Italy, and edited a number of books. He organized a mini-symposium on“Braids” at the European Congress of Mathematics in Cracow in 2012. He hasworked in the topology and combinatorics of hyperplane arrangements, braidgroups and Artin groups, Coxeter groups, configuration spaces, and to someextent in the applied topology related to image understanding.
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 wasborn in 1949. He received a Ph.D. in Mathematics from the University of Warwickunder the direction of George Lusztig in 1975. He has been a Professor ofMathematics since 1983. Since 1996 he has been a professor at the University ofRoma, La Sapienza. He has been a visiting scholar at Brandeis University,Mittag Leffler Institute, Tata Institute of Fundamental Research, HarvardUniversity, MIT, Université de Paris VI, IHES, MSRI, and the École NormaleSupérieure of Paris. He serves on the editorial boards of Rendiconti AccademiaNazionale dei Lincei, Journal of Transformation Groups, IMRN, Rendiconti diMatematica, Rendiconti del Seminario Matematico-Padova, and Communications inContemporary Mathematics. He was a plenary speaker for the European Congress ofMathematics (Paris) in 1992. He has made important contributions to severalareas of algebra and algebraic geometry, e.g. invariant theory, commutativealgebra, algebraic and quantic group theory, the Schottky problem, and hyperplanearrangements.
Eva-Maria Feichtner was bornin 1972. She received a PhD in mathematics from TU Berlin in 1997. After postdoctoral appointmentsat MIT and at the Institute for Advanced Studies, she was an assistant professor at ETH Zurich and wasawarded a research professorship from the Swiss National Science Foundation. In2006 she was appointed professor of topology at the University of Stuttgart;since 2007 she has served as a professor of algebra at the University of Bremen,where she co-directs the Institute for Algebra, Geometry, Topology and theirApplications (ALTA). She has been a visiting scholar at many researchinstitutions, notably at MSRI, Berkeley, as research professor and as programorganizer. Her research interests lie in the interplay of algebra, geometry,topology and combinatorics, notably in arrangements of hyperplanes, toricvarieties and tropical geometry. She serves on the editorial board of Advancesin Applied Mathematics.
Giovanni Gaiffi was bornin 1970. He received his degree in Mathematics from the University of Pisa in1993 and attended the Scuola Normale, where he also completed his PhD inMathematics under the direction of Corrado De Concini in 1999. In 1997 he wasoffered a research position at the Scuola Normale, before switching to theUniversity of Pisa as an associate professor in 2005. His field of interest mainlyconcerns algebra, in particular Lie theory, representation theory, and theirinterplay with combinatorics and algebraic topology. He has organized internationalconferences and is co-author of the educational book ‘Giochi e PercorsiMatematici’ released by Springer-Italia.
Mario Salvetti was born in1957. He received a degree in Mathematics from the University of Pisa and was a“perfezionando” at the Scuola Normale in Pisa. He has been a Professor ofMathematics since 1992, and in Pisa since 2000. He has been a visiting scholar atColumbia University, Moscow State University (at the “Gelfand Seminar”),Graduate School of Mathematical Sciences in Tokyo, and MSRI. He has served onthe organizing and scientific committees of international conferences andmeetings in Italy, and edited a number of books. He organized a mini-symposium on“Braids” at the European Congress of Mathematics in Cracow in 2012. He hasworked in the topology and combinatorics of hyperplane arrangements, braidgroups and Artin groups, Coxeter groups, configuration spaces, and to someextent in the applied topology related to image understanding.
Textul de pe ultima copertă
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.
Caracteristici
High-level contributions by leading experts in the field
Fully refereed original papers
Provides an ideal resource for researchers seeking anoverview of current trends
Fully refereed original papers
Provides an ideal resource for researchers seeking anoverview of current trends