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Author: Yuri Tschinkel
Publisher: Universitätsverlag Göttingen
Published: 2005
Total Pages: 226
ISBN-13: 3938616172
DOWNLOAD EBOOK →This volume contains lecture notes from the seminars "Number Theory", "Algebraic Geometry" and "Twisted Cohomology Theories" which took place at the Mathematics Institute of the University of Göttingen during the Winter Term 2004/2005. Most contributions report on recent work by the authors.
Author: Yuri Tschinkel
Publisher: Universitätsverlag Göttingen
Published: 2004
Total Pages: 200
ISBN-13: 3930457709
DOWNLOAD EBOOK →This volume contains lecture notes from the seminars [alpha]Number Theory", [alpha]Algebraic Geometry" and [alpha]Geometric methods in representation theory" which took place at the Mathematics Institute of the University of Göttingen during the Summer Term 2004. Most contributions report on recent work by the authors.
Author: Yuri Tschinkel
Publisher: Universitätsverlag Göttingen
Published: 2004
Total Pages: 252
ISBN-13: 3930457512
DOWNLOAD EBOOK →This volume contains lecture notes from the seminars [alpha]Number Theory", [alpha]Algebraic Geometry" and [alpha]Geometric methods in representation theory" which took place at the Mathematics Institute of the University of Göttingen during the Winter Term 2003-2004. Most contributions report on recent work by the authors.
Author: Mathieu Marion
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 476
ISBN-13: 9400915756
DOWNLOAD EBOOK →By North-American standards, philosophy is not new in Quebec: the first men tion of philosophy lectures given by a Jesuit in the College de Quebec (founded 1635) dates from 1665, and the oldest logic manuscript dates from 1679. In English-speaking universities such as McGill (founded 1829), philosophy began to be taught later, during the second half of the 19th century. The major influence on English-speaking philosophers was, at least initially, that of Scottish Empiricism. On the other hand, the strong influence of the Catholic Church on French-Canadian society meant that the staff of the facultes of the French-speaking universities consisted, until recently, almost entirely of Thomist philosophers. There was accordingly little or no work in modem Formal Logic and Philosophy of Science and precious few contacts between the philosophical communities. In the late forties, Hugues Leblanc was a young student wanting to learn Formal Logic. He could not find anyone in Quebec to teach him and he went to study at Harvard University under the supervision of W. V. Quine. His best friend Maurice L' Abbe had left, a year earlier, for Princeton to study with Alonzo Church. After receiving his Ph. D from Harvard in 1948, Leblanc started his profes sional career at Bryn Mawr College, where he stayed until 1967. He then went to Temple University, where he taught until his retirement in 1992, serving as Chair of the Department of Philosophy from 1973 until 1979.
Author: Guillermo Cortiñas
Publisher: European Mathematical Society
Published: 2008
Total Pages: 460
ISBN-13: 9783037190609
DOWNLOAD EBOOK →Since its inception 50 years ago, K-theory has been a tool for understanding a wide-ranging family of mathematical structures and their invariants: topological spaces, rings, algebraic varieties and operator algebras are the dominant examples. The invariants range from characteristic classes in cohomology, determinants of matrices, Chow groups of varieties, as well as traces and indices of elliptic operators. Thus K-theory is notable for its connections with other branches of mathematics. Noncommutative geometry develops tools which allow one to think of noncommutative algebras in the same footing as commutative ones: as algebras of functions on (noncommutative) spaces. The algebras in question come from problems in various areas of mathematics and mathematical physics; typical examples include algebras of pseudodifferential operators, group algebras, and other algebras arising from quantum field theory. To study noncommutative geometric problems one considers invariants of the relevant noncommutative algebras. These invariants include algebraic and topological K-theory, and also cyclic homology, discovered independently by Alain Connes and Boris Tsygan, which can be regarded both as a noncommutative version of de Rham cohomology and as an additive version of K-theory. There are primary and secondary Chern characters which pass from K-theory to cyclic homology. These characters are relevant both to noncommutative and commutative problems and have applications ranging from index theorems to the detection of singularities of commutative algebraic varieties. The contributions to this volume represent this range of connections between K-theory, noncommmutative geometry, and other branches of mathematics.
Author: Alexander George
Publisher: Oxford University Press, USA
Published: 1994
Total Pages: 218
ISBN-13: 0195079299
DOWNLOAD EBOOK →The essays in this volume investigate the conceptual foundations of mathematics illuminating the powers of the mind. Contributors include Alexander George, Michael Dummett, George Boolos, W.W. Tait, Wilfried Sieg, Daniel Isaacson, Charles Parsons, and Michael Hallett.
Author: Frederic Weidling
Publisher: Göttingen University Press
Published: 2019
Total Pages: 225
ISBN-13: 3863954114
DOWNLOAD EBOOK →In inverse problems one wants to find some parameter of interest which is not directly observable by indirect measurement. These measurements are usually noisy while the mapping of measurement to parameter is typically illposed (that is unstable). Therefore one applies regularization techniques that balance these two factors to find a stable approximation of the sought for parameter. However, in order to bound the reconstruction error, one needs additional information on the true parameter, which is nowadays typically formulated in terms of variational source conditions. In this thesis, we develop a general strategy to verify these conditions based on smoothness of the true parameter and the illposedness of the problem; the latter will be characterized by exploiting structural similarities to stability estimates. Following this, we apply our strategy to verify variational source conditions for parameter identification problems, inverse scattering and electrical impedance tomography.
Author: Ina Kersten
Publisher: Universitätsverlag Göttingen
Published: 2009
Total Pages: 213
ISBN-13: 3940344966
DOWNLOAD EBOOK →4e de couverture : "These proceedings contain most of the contributions to the Göttingen-Jerusalem Conference 2008 on "Symmetries in Algebra and Number Theory" including three addresses given at the conference opening, and two contributions to the Satellite Conference "On the Legacy of Hermann Weyl". The contributions are survey articles or report on recent work by the authors, for exemple new results on the famous Leopoldt conjecture."
Author: Yuri Tschinkel
Publisher: Universitätsverlag Göttingen
Published: 2007
Total Pages: 168
ISBN-13: 3938616776
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