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Deformation spaces : perspectives on algebro-geometric moduli

Author: Hossein Abbaspour; Matilde Marcolli; Thomas Tradler; Max-Planck-Institut für Mathematik.
Publisher: Wiesbaden : Vieweg+Teubner, 2010.
Series: Aspects of mathematics., E ;, v. 40.
Edition/Format:   eBook : Document : Conference publication : EnglishView all editions and formats
Summary:
The first instances of deformation theory were given by Kodaira and Spencer for complex structures and by Gerstenhaber for associative algebras. Since then, deformation theory has been applied as a useful tool in the study of many other mathematical structures, and even today it plays an important role in many developments of modern mathematics. This volume collects a few self-contained and peer-reviewed papers by  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Deformation spaces.
Wiesbaden : Vieweg+Teubner, 2010
(OCoLC)635919835
Material Type: Conference publication, Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Hossein Abbaspour; Matilde Marcolli; Thomas Tradler; Max-Planck-Institut für Mathematik.
ISBN: 9783834896803 3834896802 3834812714 9783834812711
OCLC Number: 663094091
Description: 1 online resource (173 pages) : illustrations.
Contents: On the Hochschild and Harrison (co)homology of C?-algebras and applications to string topology --
What is the Jacobian of a Riemann Surface with Boundary? --
Pure weight perfect Modules on divisorial schemes --
Higher localized analytic indices and strict deformation quantization --
An algebraic proof of Bogomolov-Tian-Todorov theorem --
Quantizing deformation theory --
L?-interpretation of a classification of deformations of Poisson structures in dimension three.
Series Title: Aspects of mathematics., E ;, v. 40.
Responsibility: a publication of the Max-Planck-Institute for Mathematics, Bonn ; Hossein Abbaspour, Matilde Marcolli, Thomas Tradler (eds.).
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Abstract:

The first instances of deformation theory were given by Kodaira and Spencer for complex structures and by Gerstenhaber for associative algebras. Since then, deformation theory has been applied as a useful tool in the study of many other mathematical structures, and even today it plays an important role in many developments of modern mathematics. This volume collects a few self-contained and peer-reviewed papers by experts which present up-to-date research topics in algebraic and motivic topology, quantum field theory, algebraic geometry, noncommutative geometry and the deformation theory of Poisson algebras. They originate from activities at the Max-Planck-Institute for Mathematics and the Hausdorff Center for Mathematics in Bonn. Contributions by Grégory Ginot, Thomas M. Fiore and Igor Kriz, Toshiro Hiranouchi and Satoshi Mochizuki, Paulo Carrillo Rouse, Donatella Iacono and Marco Manetti, John Terilla, Anne Pichereau - Researchers in the fields of deformation theory, noncommutative geometry, algebraic topology, mathematical physics - Advanced graduate students in mathematics Dr. Hossein Abbaspour, Department of Mathematics, Université de Nantes, France. Prof. Dr. Matilde Marcolli, Department of Mathematics, California Institute of Technology, Pasadena, California, USA. Dr. Thomas Tradler, Department of Mathematics, New York City College of Technology (CUNY), New York, USA.

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