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This is the third volume in a series of books on general topics in supersymmetric mechanics. This collection presents material from the well established international and annual INFN-Laboratori Nazionali di Frascati Winter School on the Attractor Mechanism.

The Marcel Grossmann Meetings are three-yearly forums that meet to discuss recent advances in gravitation, general relativity and relativistic field theories, emphasizing their mathematical foundations, physical predictions and experimental tests. These meetings aim to facilitate the exchange of ideas among scientists, to deepen our understanding of space-time structures, and to review the status of ongoing experiments and observations testing Einstein's theory of gravitation either from ground or space-based experiments. Since the first meeting in 1975 in Trieste, Italy, which was established by Remo Ruffini and Abdus Salam, the range of topics presented at these meetings has gradually widened to accommodate issues of major scientific interest, and attendance has grown to attract more than 900 participants from over 80 countries.This proceedings volume of the eleventh meeting in the series, held in Berlin in 2006, highlights and records the developments and applications of Einstein's theory in diverse areas ranging from fundamental field theories to particle physics, astrophysics and cosmology, made possible by unprecedented technological developments in experimental and observational techniques from space, ground and underground observatories. It provides a broad sampling of the current work in the field, especially relativistic astrophysics, including many reviews by leading figures in the research community.

This book is based upon lectures presented in the summer of 2009 at the INFN-Laboratori Nazionali di Frascati School on Attractor Mechanism, directed by Stefano Bellucci. The symposium included such prestigious lecturers as S. Ferrara, G. Dall'Agata, J.F. Morales, J. Simón and M. Trigiante. All lectures were given at a pedagogical, introductory level, which is reflected in the specific "flavor" of this volume. The book also benefits from extensive discussions about, and the related reworking of, the various contributions. It is the fifth volume in a series of books on the general topics of supersymmetry, supergravity, black holes and the attractor mechanism.

This was a joint meeting of the Johns Hopkins Workshop and PASCOS. It was interdisciplinary in its nature. The proceedings gives an overview of the current situation in the interrelated fields of elementary particle physics, astrophysics and cosmology as well as provides a forum for the presentation new results.

The purpose of this handbook is to give an overview of some recent developments in differential geometry related to supersymmetric field theories. The main themes covered are: Special geometry and supersymmetry Generalized geometry Geometries with torsion Para-geometries Holonomy theory Symmetric spaces and spaces of constant curvature Conformal geometry Wave equations on Lorentzian manifolds D-branes and K-theory The intended audience consists of advanced students and researchers working in differential geometry, string theory, and related areas. The emphasis is on geometrical structures occurring on target spaces of supersymmetric field theories. Some of these structures can be fully described in the classical framework of pseudo-Riemannian geometry. Others lead to new concepts relating various fields of research, such as special Kahler geometry or generalized geometry.

This book is based upon lectures presented in June 2007 at the INFN-Laboratori Nazionali di Frascati School on Attractor Mechanism, directed by Stefano Bellucci. The symposium included such prestigious lecturers as S. Ferrara, M. Günaydin, P. Levay, and T. Mohaupt. All lectures were given at a pedagogical, introductory level, which is reflected in the specific "flavor" of this volume. The book also benefits from extensive discussions about, and related reworking of, the various contributions. In addition, this volume contains contributions originating from short presentations of recent original results and an essay on the relation between complexity science and high-energy physics by A. Zichichi. It is the fourth volume in a series of books on the general topics of supersymmetry, supergravity, black holes and the attractor mechanism.

This volume contains the proceedings of the conference String-Math 2015, which was held from December 31, 2015–January 4, 2016, at Tsinghua Sanya International Mathematics Forum in Sanya, China. Two of the main themes of this volume are frontier research on Calabi-Yau manifolds and mirror symmetry and the development of non-perturbative methods in supersymmetric gauge theories. The articles present state-of-the-art developments in these topics. String theory is a broad subject, which has profound connections with broad branches of modern mathematics. In the last decades, the prosperous interaction built upon the joint efforts from both mathematicians and physicists has given rise to marvelous deep results in supersymmetric gauge theory, topological string, M-theory and duality on the physics side, as well as in algebraic geometry, differential geometry, algebraic topology, representation theory and number theory on the mathematics side.

This book provides the reader with an overview of the different mathematical attempts to quantize gravity written by leading experts in this field. Also discussed are the possible experimental bounds on quantum gravity effects. The contributions have been strictly refereed and are written in an accessible style. The present volume emerged from the 2nd Blaubeuren Workshop "Mathematical and Physical Aspects of Quantum Gravity".

This book discusses many of the recent theoretical and observational developments that have significant implications for astronomy and astrophysics. The main themes are (i) cosmology, (ii) gravitational wave astronomy and gravitational physics, (iii) stellar astrophysics, and (iv) active galactic nuclei and disk accretion. There are also contributions on the solar system. Contents: Cosmology: New Cosmological Data and the OCyBest-FitOCO Universe (O Lahav); Measuring the Universe with the Cosmic Microwave Background (D Barbosa & M Chu); Initial Conditions for Hybrid Inflation (L E Mendes & A R Liddle); The Density Parameter in Scalar Field Cosmologies (J P Mimoso & A Nunes); Relativistic Astrophysics: Matter Trapped Gravitational Waves (L Bento & J P S Lemos); Pair Creation of Particles and Black Holes in External Fields (o J C Dias); Defining a Test Particle''s Velocity at the Schwarzschild Horizon (P Crawford & I Tereno); Stellar and Gallactic Astrophysics: Searching the Whole Sky for Variability (B Paczynski); T Tauri Stars: Near Infrared Spectroscopy (D F M Folha); Large Scale Structure and Cosmic Rays Revisited (R Ugoccioni et al.); The Contribution of Stellar Light in BL Lac Type Objects (P Mendes & M Serote Roos); Planetary Astrophysics: Galileo/Near Infrared Mapping Spectrometer Data from Jupiter: Where is the Water Vapor? (M Roos-Serote et al.); Photometry of Centaurs 1997 CU 26 and 1999 UG 5 (N Peixinho et al.); Public Lectures: Gamma Ray Bursts OCo The Most Energetic Machines in the Universe (B Paczynski); The Physics of the Little Bang (J D de Deus); and other papers. Readership: Researchers in astronomy, astrophysics, cosmology and gravitation."