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Author : Bhargav Bhatt
Publisher :
ISBN 13 : 9782856299371
Total Pages : 165 pages
Book Rating : 4.2/5 (993 download)
Download or read book Revisiting the de Rham-Witt Complex written by Bhargav Bhatt and published by . This book was released on 2021 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Bhargav Bhatt
Publisher : American Mathematical Society
ISBN 13 : 1470465108
Total Pages : 297 pages
Book Rating : 4.4/5 (74 download)
Download or read book Perfectoid Spaces written by Bhargav Bhatt and published by American Mathematical Society. This book was released on 2022-02-04 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduced by Peter Scholze in 2011, perfectoid spaces are a bridge between geometry in characteristic 0 and characteristic $p$, and have been used to solve many important problems, including cases of the weight-monodromy conjecture and the association of Galois representations to torsion classes in cohomology. In recognition of the transformative impact perfectoid spaces have had on the field of arithmetic geometry, Scholze was awarded a Fields Medal in 2018. This book, originating from a series of lectures given at the 2017 Arizona Winter School on perfectoid spaces, provides a broad introduction to the subject. After an introduction with insight into the history and future of the subject by Peter Scholze, Jared Weinstein gives a user-friendly and utilitarian account of the theory of adic spaces. Kiran Kedlaya further develops the foundational material, studies vector bundles on Fargues–Fontaine curves, and introduces diamonds and shtukas over them with a view toward the local Langlands correspondence. Bhargav Bhatt explains the application of perfectoid spaces to comparison isomorphisms in $p$-adic Hodge theory. Finally, Ana Caraiani explains the application of perfectoid spaces to the construction of Galois representations associated to torsion classes in the cohomology of locally symmetric spaces for the general linear group. This book will be an invaluable asset for any graduate student or researcher interested in the theory of perfectoid spaces and their applications.
Author : Helge Holden
Publisher : Springer
ISBN 13 : 3319990284
Total Pages : 774 pages
Book Rating : 4.3/5 (199 download)
Download or read book The Abel Prize 2013-2017 written by Helge Holden and published by Springer. This book was released on 2019-02-23 with total page 774 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents the winners of the Abel Prize in mathematics for the period 2013–17: Pierre Deligne (2013); Yakov G. Sinai (2014); John Nash Jr. and Louis Nirenberg (2015); Sir Andrew Wiles (2016); and Yves Meyer (2017). The profiles feature autobiographical information as well as a scholarly description of each mathematician’s work. In addition, each profile contains a Curriculum Vitae, a complete bibliography, and the full citation from the prize committee. The book also includes photos for the period 2003–2017 showing many of the additional activities connected with the Abel Prize. As an added feature, video interviews with the Laureates as well as videos from the prize ceremony are provided at an accompanying website (http://extras.springer.com/). This book follows on The Abel Prize: 2003-2007. The First Five Years (Springer, 2010) and The Abel Prize 2008-2012 (Springer 2014), which profile the work of the previous Abel Prize winners.
Author : Edward Frenkel
Publisher : Cambridge University Press
ISBN 13 : 0521854431
Total Pages : 5 pages
Book Rating : 4.5/5 (218 download)
Download or read book Langlands Correspondence for Loop Groups written by Edward Frenkel and published by Cambridge University Press. This book was released on 2007-06-28 with total page 5 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first account of local geometric Langlands Correspondence, a new area of mathematical physics developed by the author.
Author : Jean-Pierre Serre
Publisher : CRC Press
ISBN 13 : 1466501936
Total Pages : 169 pages
Book Rating : 4.4/5 (665 download)
Download or read book Lectures on N_X(p) written by Jean-Pierre Serre and published by CRC Press. This book was released on 2016-04-19 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lectures on NX(p) deals with the question on how NX(p), the number of solutions of mod p congruences, varies with p when the family (X) of polynomial equations is fixed. While such a general question cannot have a complete answer, it offers a good occasion for reviewing various techniques in l-adic cohomology and group representations, presented in
Author : Angela Mendonca
Publisher : Springer Science & Business Media
ISBN 13 : 9400713215
Total Pages : 209 pages
Book Rating : 4.4/5 (7 download)
Download or read book Natural Resources, Sustainability and Humanity written by Angela Mendonca and published by Springer Science & Business Media. This book was released on 2012-04-17 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shortly, this book is the written up-graded version of the topics discussed during the Small Meeting of the 2nd International School Congress: Natural Resources, Sustainability and Humanity, held in Braga, Portugal, 5-8 May 2010 with the diverse participation of scientists, educators and governmental representatives. The Earth hosts an immense ecosystem, colonized by millions of species for billions of years but only for a few tens of thousands of years by humans. Environmental history tells though that it was humankind that shaped the environment as no other species. History, geography, religion and politics among other reasons have differentiated populations with respect to access to safe food and water, education, health, and to space and natural resource utilization. The globalization era of trade, information and communication is shortening distances and increasing overall wealth, but, as is pointed out in this book, it is also contributing to the propagation of diseases, and to the modification or even destruction of native ecosystems by exotic invasive species. Man is the only species that has the perception of its history, evolution, of the consequences of its decisions, and that there is a future ahead. It is also the only species that has the potential to change it. This awareness can be a source of anxiety and contradictory behaviours, but it is also the key to changing attitudes towards the construction of a common sustainable home, by committed education, interdisciplinary approaches, mobilization and empowerment of people and political consonant actions.
Author : Bertfried Fauser
Publisher : Springer Science & Business Media
ISBN 13 : 376438736X
Total Pages : 436 pages
Book Rating : 4.7/5 (643 download)
Download or read book Quantum Field Theory written by Bertfried Fauser and published by Springer Science & Business Media. This book was released on 2009-06-02 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume emerged from the 3rd `Blaubeuren Workshop: Recent Developments in Quantum Field Theory', held in July 2007 at the Max Planck Institute of Mathematics in the Sciences in Leipzig/Germany. All of the contributions are committed to the idea of this workshop series: To bring together outstanding experts working in the field of mathematics and physics to discuss in an open atmosphere the fundamental questions at the frontier of theoretical physics.
Author : Alexandru Buium
Publisher : American Mathematical Society
ISBN 13 : 1470475774
Total Pages : 357 pages
Book Rating : 4.4/5 (74 download)
Download or read book Foundations of Arithmetic Differential Geometry written by Alexandru Buium and published by American Mathematical Society. This book was released on 2023-11-20 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to introduce and develop an arithmetic analogue of classical differential geometry. In this new geometry the ring of integers plays the role of a ring of functions on an infinite dimensional manifold. The role of coordinate functions on this manifold is played by the prime numbers. The role of partial derivatives of functions with respect to the coordinates is played by the Fermat quotients of integers with respect to the primes. The role of metrics is played by symmetric matrices with integer coefficients. The role of connections (respectively curvature) attached to metrics is played by certain adelic (respectively global) objects attached to the corresponding matrices. One of the main conclusions of the theory is that the spectrum of the integers is “intrinsically curved”; the study of this curvature is then the main task of the theory. The book follows, and builds upon, a series of recent research papers. A significant part of the material has never been published before.
Author : Dennis Gaitsgory
Publisher : Princeton University Press
ISBN 13 : 0691184437
Total Pages : 320 pages
Book Rating : 4.6/5 (911 download)
Download or read book Weil's Conjecture for Function Fields written by Dennis Gaitsgory and published by Princeton University Press. This book was released on 2019-02-19 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: A central concern of number theory is the study of local-to-global principles, which describe the behavior of a global field K in terms of the behavior of various completions of K. This book looks at a specific example of a local-to-global principle: Weil’s conjecture on the Tamagawa number of a semisimple algebraic group G over K. In the case where K is the function field of an algebraic curve X, this conjecture counts the number of G-bundles on X (global information) in terms of the reduction of G at the points of X (local information). The goal of this book is to give a conceptual proof of Weil’s conjecture, based on the geometry of the moduli stack of G-bundles. Inspired by ideas from algebraic topology, it introduces a theory of factorization homology in the setting l-adic sheaves. Using this theory, Dennis Gaitsgory and Jacob Lurie articulate a different local-to-global principle: a product formula that expresses the cohomology of the moduli stack of G-bundles (a global object) as a tensor product of local factors. Using a version of the Grothendieck-Lefschetz trace formula, Gaitsgory and Lurie show that this product formula implies Weil’s conjecture. The proof of the product formula will appear in a sequel volume.
Author : Bryden Cais
Publisher : American Mathematical Soc.
ISBN 13 : 1470450151
Total Pages : 297 pages
Book Rating : 4.4/5 (74 download)
Download or read book Perfectoid Spaces: Lectures from the 2017 Arizona Winter School written by Bryden Cais and published by American Mathematical Soc.. This book was released on 2019-10-01 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduced by Peter Scholze in 2011, perfectoid spaces are a bridge between geometry in characteristic 0 and characteristic p, and have been used to solve many important problems, including cases of the weight-monodromy conjecture and the association of Galois representations to torsion classes in cohomology. In recognition of the transformative impact perfectoid spaces have had on the field of arithmetic geometry, Scholze was awarded a Fields Medal in 2018. This book, originating from a series of lectures given at the 2017 Arizona Winter School on perfectoid spaces, provides a broad introduction to the subject. After an introduction with insight into the history and future of the subject by Peter Scholze, Jared Weinstein gives a user-friendly and utilitarian account of the theory of adic spaces. Kiran Kedlaya further develops the foundational material, studies vector bundles on Fargues–Fontaine curves, and introduces diamonds and shtukas over them with a view toward the local Langlands correspondence. Bhargav Bhatt explains the application of perfectoid spaces to comparison isomorphisms in p-adic Hodge theory. Finally, Ana Caraiani explains the application of perfectoid spaces to the construction of Galois representations associated to torsion classes in the cohomology of locally symmetric spaces for the general linear group. This book will be an invaluable asset for any graduate student or researcher interested in the theory of perfectoid spaces and their applications.
Author : Tony Merna
Publisher : John Wiley & Sons
ISBN 13 : 1119995108
Total Pages : 452 pages
Book Rating : 4.1/5 (199 download)
Download or read book Corporate Risk Management written by Tony Merna and published by John Wiley & Sons. This book was released on 2011-03-10 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book analyzes, compares, and contrasts tools and techniques used in risk management at corporate, strategic business and project level and develops a risk management mechanism for the sequencing of risk assessment through corporate, strategic and project stages of an investment in order to meet the requirements of the 1999 Turnbull report. By classifying and categorizing risk within these levels it is possible to drill down and roll-up to any level of the organizational structure and to establish the risks that each project is most sensitive to, so that appropriate risk response strategies may be implemented to benefit all stakeholders. "The new edition of this book provides a clear insight into the intricacies of corporate risk management and the addition of the case study exemplars aids understanding of the management of multiple projects in the real world." —Professor Nigel Smith, Head of the School of Civil Engineering, University of Leeds
Author : Peter Scholze
Publisher : Princeton University Press
ISBN 13 : 0691202095
Total Pages : 260 pages
Book Rating : 4.6/5 (912 download)
Download or read book Berkeley Lectures on P-adic Geometry written by Peter Scholze and published by Princeton University Press. This book was released on 2020-05-26 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: Berkeley Lectures on p-adic Geometry presents an important breakthrough in arithmetic geometry. In 2014, leading mathematician Peter Scholze delivered a series of lectures at the University of California, Berkeley, on new ideas in the theory of p-adic geometry. Building on his discovery of perfectoid spaces, Scholze introduced the concept of “diamonds,” which are to perfectoid spaces what algebraic spaces are to schemes. The introduction of diamonds, along with the development of a mixed-characteristic shtuka, set the stage for a critical advance in the discipline. In this book, Peter Scholze and Jared Weinstein show that the moduli space of mixed-characteristic shtukas is a diamond, raising the possibility of using the cohomology of such spaces to attack the Langlands conjectures for a reductive group over a p-adic field. This book follows the informal style of the original Berkeley lectures, with one chapter per lecture. It explores p-adic and perfectoid spaces before laying out the newer theory of shtukas and their moduli spaces. Points of contact with other threads of the subject, including p-divisible groups, p-adic Hodge theory, and Rapoport-Zink spaces, are thoroughly explained. Berkeley Lectures on p-adic Geometry will be a useful resource for students and scholars working in arithmetic geometry and number theory.
Author : Jacob Lurie
Publisher : Princeton University Press
ISBN 13 : 0691140480
Total Pages : 944 pages
Book Rating : 4.6/5 (911 download)
Download or read book Higher Topos Theory written by Jacob Lurie and published by Princeton University Press. This book was released on 2009-07-26 with total page 944 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 'Higher Topos Theory', Jacob Lurie presents the foundations of this theory using the language of weak Kan complexes introduced by Boardman and Vogt, and shows how existing theorems in algebraic topology can be reformulated and generalized in the theory's new language.
Author : J.P. May
Publisher : Springer
ISBN 13 : 3540376038
Total Pages : 184 pages
Book Rating : 4.5/5 (43 download)
Download or read book The Geometry of Iterated Loop Spaces written by J.P. May and published by Springer. This book was released on 2006-11-15 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : A. Roberts
Publisher : Springer
ISBN 13 : 0230554652
Total Pages : 385 pages
Book Rating : 4.2/5 (35 download)
Download or read book The History of Science Fiction written by A. Roberts and published by Springer. This book was released on 2005-11-28 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: The History of Science Fiction traces the origin and development of science fiction from Ancient Greece up to the present day. The author is both an academic literary critic and acclaimed creative writer of the genre. Written in lively, accessible prose it is specifically designed to bridge the worlds of academic criticism and SF fandom.
Author : John Alan Halloran
Publisher : Logogram Publishing
ISBN 13 : 9780978642907
Total Pages : 0 pages
Book Rating : 4.6/5 (429 download)
Download or read book Sumerian Lexicon written by John Alan Halloran and published by Logogram Publishing. This book was released on 2006 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: With 6,400 entries, this is the most complete available lexicon of ancient Sumerian vocabulary. It replaces version 3 of the author's Sumerian Lexicon, which has served an audience of over 380,000 visitors at the web site www.sumerian.org since 1999. This published version adds over 2,600 new entries, and corrects or expands many of the previous entries. Also, following the express wish of a majority of online lexicon users, it has merged together and sorted the logogram words and the compound words into purely alphabetical order. This book will be an indispensable reference for anyone trying to translate Sumerian texts. Also, due to the historical position of ancient Sumer as the world's first urban civilisation, cultural and linguistic archaeologists will discover a wealth of information for research.
Author : J. Thanh Van Tran
Publisher : Atlantica Séguier Frontières
ISBN 13 : 9782863320556
Total Pages : 616 pages
Book Rating : 4.3/5 (25 download)
Download or read book Electroweak Interactions and Unified Theories written by J. Thanh Van Tran and published by Atlantica Séguier Frontières. This book was released on 1988 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt:
