Download or read book Moderate and Formal Cohomology Associated with Constructible Sheaves written by 柏原正樹 and published by . This book was released on 1996 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt: On a complex manifold $X$, the authors construct the functors $\cdot \otimes^{\mathrm{w}}\mathcal O_X$ and $Thom (\cdot, \mathcal O_X)$ of formal and moderate cohomology from the category of $\mathbb R$-constructible sheaves to that of $\mathcal D_X$-modules. This construction allows for functorial and unified treatment of $C^{\infty}$ functions, distributions, formal completion, and local algebraic cohomology. The behavior of these functors under the usual operations on $\mathcal D$-modules is systematically studied, and adjunction formulas for correspondences of complex manifolds are obtained. This theory provides a natural tool to treat integral transformations with growth conditions such as Radon, Poisson, and Laplace transforms.
Download or read book Algebraic and Analytic Microlocal Analysis written by Michael Hitrik and published by Springer. This book was released on 2018-12-19 with total page 660 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents contributions from two workshops in algebraic and analytic microlocal analysis that took place in 2012 and 2013 at Northwestern University. Featured papers expand on mini-courses and talks ranging from foundational material to advanced research-level papers, and new applications in symplectic geometry, mathematical physics, partial differential equations, and complex analysis are discussed in detail. Topics include Procesi bundles and symplectic reflection algebras, microlocal condition for non-displaceability, polarized complex manifolds, nodal sets of Laplace eigenfunctions, geodesics in the space of Kӓhler metrics, and partial Bergman kernels. This volume is a valuable resource for graduate students and researchers in mathematics interested in understanding microlocal analysis and learning about recent research in the area.
Download or read book D Modules Perverse Sheaves and Representation Theory written by Ryoshi Hotta and published by Springer Science & Business Media. This book was released on 2007-11-07 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: D-modules continues to be an active area of stimulating research in such mathematical areas as algebraic, analysis, differential equations, and representation theory. Key to D-modules, Perverse Sheaves, and Representation Theory is the authors' essential algebraic-analytic approach to the theory, which connects D-modules to representation theory and other areas of mathematics. To further aid the reader, and to make the work as self-contained as possible, appendices are provided as background for the theory of derived categories and algebraic varieties. The book is intended to serve graduate students in a classroom setting and as self-study for researchers in algebraic geometry, representation theory.
Download or read book Representation Theory and Complex Analysis written by Michael Cowling and published by Springer Science & Business Media. This book was released on 2008-02-27 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Six leading experts lecture on a wide spectrum of recent results on the subject of the title. They present a survey of various interactions between representation theory and harmonic analysis on semisimple groups and symmetric spaces, and recall the concept of amenability. They further illustrate how representation theory is related to quantum computing; and much more. Taken together, this volume provides both a solid reference and deep insights on current research activity.
Download or read book Geometric Aspects of Dwork Theory written by Alan Adolphson and published by Walter de Gruyter. This book was released on 2008-08-22 with total page 1150 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-volume book collects the lectures given during the three months cycle of lectures held in Northern Italy between May and July of 2001 to commemorate Professor Bernard Dwork (1923 - 1998). It presents a wide-ranging overview of some of the most active areas of contemporary research in arithmetic algebraic geometry, with special emphasis on the geometric applications of the p-adic analytic techniques originating in Dwork's work, their connection to various recent cohomology theories and to modular forms. The two volumes contain both important new research and illuminating survey articles written by leading experts in the field. The book will provide an indispensable resource for all those wishing to approach the frontiers of research in arithmetic algebraic geometry.
Download or read book Analysis Geometry Number Theory The Mathematics of Leon Ehrenpreis written by Eric Grinberg and published by American Mathematical Soc.. This book was released on 2000 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the proceedings from the conference honoring the work of Leon Ehrenpreis. Professor Ehrenpreis worked in many different areas of mathematics and found connections among all of them. For example, one can find his analytic ideas in the context of number theory, geometric thinking within analysis, transcendental number theory applied to partial differential equations, and more. The conference brought together the communities of mathematicians working in the areas of interest to Professor Ehrenpreis and allowed them to share the research inspired by his work. The collection of articles here presents current research on PDEs, several complex variables, analytic number theory, integral geometry, and tomography. The work of Professor Ehrenpreis has contributed to basic definitions in these areas and has motivated a wealth of research results. This volume offers a survey of the fundamental principles that unified the conference and influenced the mathematics of Leon Ehrenpreis.
Download or read book Proceedings Of The International Congress Of Mathematicians 2018 Icm 2018 In 4 Volumes written by Boyan Sirakov and published by World Scientific. This book was released on 2019-02-27 with total page 5393 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Proceedings of the ICM publishes the talks, by invited speakers, at the conference organized by the International Mathematical Union every 4 years. It covers several areas of Mathematics and it includes the Fields Medal and Nevanlinna, Gauss and Leelavati Prizes and the Chern Medal laudatios.
Download or read book New Trends in Microlocal Analysis written by J.-M. Bony and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: Microlocal analysis began around 1970 when Mikio Sato, along with coauthors Masaki Kashiwara and Takahiro Kawai, wrote a decisive article on the structure of pseudodifferential equations, thus laying the foundation of D-modules and the singular spectrums of hyperfunctions. The key idea is the analysis of problems on the phase space, i.e., the cotangent bundle of the base space. Microlocal analysis is an active area of mathematical research that has been applied to many fields such as real and complex analysis, representation theory, topology, number theory, and mathematical physics. This volume contains the presentations given at a seminar jointly organized by the Japan Society for the Promotion of Science and Centre National des Recherches Scientifiques entitled New Trends in Microlocal Analysis. The book is divided into three parts: partial differential equations and mathematical analysis, mathematical physics, and algebraic analysis - D-modules and sheave theory. The large variety of new research that is covered will prove invaluable to students and researchers alike.
Download or read book Harmonic Analysis and Integral Geometry written by Massimo Picardello and published by CRC Press. This book was released on 2019-04-15 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprising a selection of expository and research papers, Harmonic Analysis and Integral Geometry grew from presentations offered at the July 1998 Summer University of Safi, Morocco-an annual, advanced research school and congress. This lively and very successful event drew the attendance of many top researchers, who offered both individual lecture
Download or read book Boundary Cohomology of Shimura Varieties III written by Michael Harris and published by . This book was released on 2001 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, the authors complete the verification of the following fact: The nerve spectral sequence for the cohomology of the Borel-Serre boundary of a Shimura variety $\mathrm{Sh}$ is a spectral sequence of mixed Hodge-de Rham structures over the field of definition of its canonical model. To achieve that, they develop the machinery of automorphic vector bundles on mixed Shimura varieties, for the latter enter in the boundary of the toroidal compactifications of $\mathrm{Sh}$; and study the nerve spectral sequence for the automorphic vector bundles and the toroidal boundary. They also extend the technique of averting issues of base-change by taking cohomology with growth conditions. They give and apply formulas for the Hodge gradation of the cohomology of both $\mathrm{Sh}$ and its Borel-Serre boundary.
Download or read book Publications of the Research Institute for Mathematical Sciences written by and published by . This book was released on 2001 with total page 766 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Ind sheaves written by Masaki Kashiwara and published by . This book was released on 2001 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book On Mapping Properties of the General Relativistic Constraints Operator in Weighted Function Spaces with Applications written by Piotr T. Chruściel and published by . This book was released on 2003 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, the authors prove perturbation and gluing results for solutions of the general relativistic constraints with controlled boundary behavior or asymptotic behavior. This is obtained by a study of the linearized equation in weighted spaces a la Corvino-Schoen. Among other methods, this can be used to prove existence of non-trivial asymptotically simple vacuum space-times. The book is suitable for graduate students and research mathematicians interested in analysis.
Download or read book The B pseudodifferential Calculus on Galois Coverings and a Higher Atiyah Patodi Singer Index Theorem written by Eric Leichtnam and published by . This book was released on 1997 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: Let $\Gamma \rightarrow \tilde M \rightarrow M$ be a Galois covering with boundary. In this book, the authors develop a $b$-pseudodifferential calculus on the noncompact manifold $\tilde M$. The main application is the proof of a higher Atiyah-Patodi-Singer index formula for a generalized Dirac operator $\tilde D$ on $\tilde M$, under the assumption that the group $\Gamma$ is of polynomial growth with respect to a word metric and that the $L^2$-spectrum of the boundary operator $\tilde D_0$ has a gap at zero. Results extend the work of Atiyah-Patodi-Singer, Connes-Moscovici, and Lott.
Download or read book The Wave Diffracted by a Wedge with Mixed Boundary Conditions written by Olivier Lafitte and published by . This book was released on 2002 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph studies the diffraction of a wave by a curved wedge on the plane in the case where each side of the wedge is characterized by a mixed boundary condition of impedance type. This book is suitable for graduate students and researchers interested in partial differential equations, in particular in diffraction theory and its applications to problems in physics.
Download or read book M moire written by and published by . This book was released on 1996 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Annales Scientifiques de L cole Normale Sup rieure written by École normale supérieure (France) and published by . This book was released on 2001 with total page 964 pages. Available in PDF, EPUB and Kindle. Book excerpt:
