Hyperbolic Actions and 2nd Bounded Cohomology of Subgroups of $textrm {Out}(F_n)$
Author: Michael Handel
Publisher: American Mathematical Society
Published: 2024-01-26
Total Pages: 182
ISBN-13: 1470466988
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Lanterna Rally
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Mirror Symmetry II
Author: Brian Greene
Publisher: American Mathematical Soc.
Published: 1997
Total Pages: 862
ISBN-13: 0821827448
DOWNLOAD EBOOK →Mirror Symmetry has undergone dramatic progress since the Mathematical Sciences Research Institute (MSRI) workshop in 1991, whose proceedings constitute voluem I of this continuing collection. Tremendous insight has been gained on a number of key issues. This volume surveys these results. Some of the contributions in this work have appeared elsewhere, while others were written specifically for this collection. The areas covered are organized into 4 sections, and each presents papers by both physicists and mathematicians. This volume collects the most important developments that have taken place in mathematical physics since 1991. It is an essential reference tool for both mathematics and physics libraries and for students of physics and mathematics. Titles in this series are co-published, between the American Mathematical Society and International Press, Cambridge, MA, USA.
Borcherds Products on O(2,l) and Chern Classes of Heegner Divisors
Author: Jan H. Bruinier
Publisher: Springer
Published: 2004-10-11
Total Pages: 159
ISBN-13: 3540458727
DOWNLOAD EBOOK →Around 1994 R. Borcherds discovered a new type of meromorphic modular form on the orthogonal group $O(2,n)$. These "Borcherds products" have infinite product expansions analogous to the Dedekind eta-function. They arise as multiplicative liftings of elliptic modular forms on $(SL)_2(R)$. The fact that the zeros and poles of Borcherds products are explicitly given in terms of Heegner divisors makes them interesting for geometric and arithmetic applications. In the present text the Borcherds' construction is extended to Maass wave forms and is used to study the Chern classes of Heegner divisors. A converse theorem for the lifting is proved.
Formal Power Series and Algebraic Combinatorics
Author: Daniel Krob
Publisher: Springer Science & Business Media
Published: 2013-03-09
Total Pages: 815
ISBN-13: 3662041669
DOWNLOAD EBOOK →This book contains the extended abstracts presented at the 12th International Conference on Power Series and Algebraic Combinatorics (FPSAC '00) that took place at Moscow State University, June 26-30, 2000. These proceedings cover the most recent trends in algebraic and bijective combinatorics, including classical combinatorics, combinatorial computer algebra, combinatorial identities, combinatorics of classical groups, Lie algebra and quantum groups, enumeration, symmetric functions, young tableaux etc...
Manifolds and Modular Forms
Author: Friedrich Hirzebruch
Publisher: Springer Science & Business Media
Published: 2013-06-29
Total Pages: 216
ISBN-13: 3663107264
DOWNLOAD EBOOK →This book provides a comprehensive introduction to the theory of elliptic genera due to Ochanine, Landweber, Stong, and others. The theory describes a new cobordism invariant for manifolds in terms of modular forms. The book evolved from notes of a course given at the University of Bonn. After providing some background material elliptic genera are constructed, including the classical genera signature and the index of the Dirac operator as special cases. Various properties of elliptic genera are discussed, especially their behaviour in fibre bundles and rigidity for group actions. For stably almost complex manifolds the theory is extended to elliptic genera of higher level. The text is in most parts self-contained. The results are illustrated by explicit examples and by comparison with well-known theorems. The relevant aspects of the theory of modular forms are derived in a seperate appendix, providing also a useful reference for mathematicians working in this field.
Cryptology and Network Security
Author: Sara Foresti
Publisher: Springer
Published: 2016-10-28
Total Pages: 0
ISBN-13: 9783319489643
DOWNLOAD EBOOK →This book constitutes the refereed proceedings of the 15th International Conference on Cryptology and Network Security, CANS 2016, held in Milan, Italy, in November 2016. The 30 full papers presented together with 18 short papers and 8 poster papers were carefully reviewed and selected from 116 submissions. The papers are organized in the following topical sections: cryptanalysis of symmetric key; side channel attacks and implementation; lattice-based cryptography, virtual private network; signatures and hash; multi party computation; symmetric cryptography and authentication; system security, functional and homomorphic encryption; information theoretic security; malware and attacks; multi party computation and functional encryption; and network security, privacy, and authentication.
Rank One Higgs Bundles and Representations of Fundamental Groups of Riemann Surfaces
Author: William Mark Goldman
Publisher: American Mathematical Soc.
Published: 2008
Total Pages: 86
ISBN-13: 082184136X
DOWNLOAD EBOOK →This expository article details the theory of rank one Higgs bundles over a closed Riemann surface $X$ and their relation to representations of the fundamental group of $X$. The authors construct an equivalence between the deformation theories of flat connections and Higgs pairs. This provides an identification of moduli spaces arising in different contexts. The moduli spaces are real Lie groups. From each context arises a complex structure, and the different complex structures define a hyperkähler structure. The twistor space, real forms, and various group actions are computed explicitly in terms of the Jacobian of $X$. The authors describe the moduli spaces and their geometry in terms of the Riemann period matrix of $X$.
Rational Homotopy Theory
Author: Yves Felix
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 574
ISBN-13: 146130105X
DOWNLOAD EBOOK →Rational homotopy theory is a subfield of algebraic topology. Written by three authorities in the field, this book contains all the main theorems of the field with complete proofs. As both notation and techniques of rational homotopy theory have been considerably simplified, the book presents modern elementary proofs for many results that were proven ten or fifteen years ago.
Women in Numbers Europe
Author: Marie José Bertin
Publisher: Springer
Published: 2015-09-22
Total Pages: 215
ISBN-13: 331917987X
DOWNLOAD EBOOK →Covering topics in graph theory, L-functions, p-adic geometry, Galois representations, elliptic fibrations, genus 3 curves and bad reduction, harmonic analysis, symplectic groups and mould combinatorics, this volume presents a collection of papers covering a wide swath of number theory emerging from the third iteration of the international Women in Numbers conference, “Women in Numbers - Europe” (WINE), held on October 14–18, 2013 at the CIRM-Luminy mathematical conference center in France. While containing contributions covering a wide range of cutting-edge topics in number theory, the volume emphasizes those concrete approaches that make it possible for graduate students and postdocs to begin work immediately on research problems even in highly complex subjects.
Representations of the Infinite Symmetric Group
Author: Alexei Borodin
Publisher: Cambridge University Press
Published: 2017
Total Pages: 169
ISBN-13: 1107175550
DOWNLOAD EBOOK →An introduction to the modern representation theory of big groups, exploring its connections to probability and algebraic combinatorics.
