Arrangements, Local Systems and Singularities: CIMPA Summer School, Galatasaray University, Istanbul, 2007

ISBN-13: 9783034602082 / Angielski / Twarda / 2009 / 305 str.

Fouad El Zein; Alexander I. Suciu; Meral Tosun

Opis

This volumecomprisesa setof lecturenotes fromthe CIMPASummer School, - rangements and Local systems and Singularities, held at Galatasaray University, Istanbul, during June11-22,2007.Theschoolwasattendedby68mathematicians, 35 of them from 19 countries outside Turkey. The Summer School was made up of eleven short courses and ?ve seminars presented by an outstanding group of lecturers who covered a wide range of topics related to the concepts of arran- ments, localsystems andsingularities.Thelist of lectures ofthe workshopappears below.Mostmembers of the audienceweregraduatestudents oryoung researchers and the primary purpose of the school was to introduce them, in particular those from developing countries, to the many advances and opportunities in this widely applicable ?eld. Historically, researchonarrangementsofhyperplanes, starting with the work of V.I. A rnold and E. Brieskorn and later Peter Orlik, was presented at meetings devoted mainly to discussions of singularities. Some of the articles in this volume demonstratethattheinteractionbetweenthesetwosubjectsis ongoingandpart- ularly productive. Beyond this, the volume is intended for a largeaudience in pure mathematics, including researchers and graduate students working in algebraic geometry, singularity theory, topology and related ?elds. The reader will ?nd in the ProblemSection at the end of the volumea variety of open problems proposed by the lecturers at the end of the School s sessions as directions ripe for further study and development."

Spis treści

Preface and the List of Participants From the editors (written by Meral Tosun) Pencils of Plane Curves and Characteristic Varieties By Alexandru Dimca Combinatorics of Covers of Complexified Arrangements By Emanuele Delucchi Homological Aspects of Hyperplane Arrangements By Graham Denham Local Systems and Constructable Sheaves By Fouad El Zein, Jawad Snoussi Geometry and combinatorics of resonant weights By Michael Falk The characteristic quasi-polynomials of the arrangements and mid-hyperplane arrangements By Hidehiko Kamiya, Akimichi Takemura, Hiroaki Terao Toric varieties and the diagonal property By Ali Ulas Ozgur Kisisel, Ozer Ozturk Introduction To Plane Curve Singularity (Toric Resolution Tower And Puiseux Pairs) By Mutsuo Oka Surface Singularities Appeared In The Hyperbolic Schwarz Map For The Hypergeometric Equation By Takeshi Sasaki, Masaaki Yoshida On The Extendability of Free Multiarrangements By Masahiko Yoshinaga Lectures on Orlik-Solomon Algebras By Alexandru Dimca, Sergei Yuzvinsky Problem Session Edited by Ayse Altintas & Celal Cem Sarioglu