LEADER 00000cam a2200685Ka 4500 001 ocn768111288 003 OCoLC 005 20190405013627.2 006 m o d 007 cr cnu---unuuu 008 111212s2011 enka o 000 0 eng d 019 761720598|a776951202 020 9781139145022|q(electronic book) 020 1139145029|q(electronic book) 020 |z9780521149761 020 |z0521149762 024 8 9786613316615 035 (OCoLC)768111288|z(OCoLC)761720598|z(OCoLC)776951202 040 N$T|beng|epn|cN$T|dAZU|dYDXCP|dOCLCQ|dOCLCF|dOCLCQ|dUAB |dOCLCQ|dINT|dOCLCQ 049 RIDW 050 4 QA9.7|b.M68 2011eb 072 7 MAT|x016000|2bisacsh 072 7 MAT|x018000|2bisacsh 082 04 511.3/4|223 090 QA9.7|b.M68 2011eb 245 00 Motivic integration and its interactions with model theory and non-Archimedean geometry.|nVolume 1 /|cedited by Raf Cluckers, Johannes Nicaise, Julien Sebag. 264 1 Cambridge, UK ;|aNew York, NY :|bCambridge University Press,|c2011. 300 1 online resource (xi, 334 pages) :|billustrations. 336 text|btxt|2rdacontent 337 computer|bc|2rdamedia 338 online resource|bcr|2rdacarrier 340 |gpolychrome|2rdacc 347 text file|2rdaft 490 1 London Mathematical Society lecture note series ;|v383 505 8 Machine generated contents note: 1. Introduction Raf Cluckers, Johannes Nicaise and Julien Sebag; 2. Introduction to the model theory of valued fields Zoe; Chatzidakis; 3. On the definition of rigid analytic spaces Siegfried Bosch; 4. Topological rings in rigid geometry Fumiharu Kato; 5. The Grothendieck ring of varieties Johannes Nicaise and Julien Sebag; 6. A short course on geometric motivic integration Manuel Blickle; 7. Motivic invariants of rigid varieties and applications to complex singularities Johannes Nicaise and Julien Sebag; 8. Motivic integration in mixed characteristic with bounded ramification: a summary Raf Cluckers and François Loeser. 505 0 Introductory notes on the model theory of valued fields / Zoé Chatzidakis -- On the definition of rigid analytic spaces / Siegfried Bosch -- Topological rings in rigid geometry / Fumiharu Kato -- The Grothendieck ring of varieties / Johannes Nicaise and Julien Sebag -- A short course on geometric motivic integration / Manuel Blickle - - Motivic invariants of rigid varieties and applications to complex singularities / Johannes Nicaise and Julien Sebag -- Motivic integration in mixed characteristic with bounded ramification : a summary / Raf Cluckers and François Loeser. 520 "The development of Maxim Kontsevich's initial ideas on motivic integration has unexpectedly influenced many other areas of mathematics, ranging from the Langlands program over harmonic analysis, to non-Archimedean analysis, singularity theory and birational geometry. This book assembles the different theories of motivic integration and their applications for the first time, allowing readers to compare different approaches and assess their individual strengths. All of the necessary background is provided to make the book accessible to graduate students and researchers from algebraic geometry, model theory and number theory. Applications in several areas are included so that readers can see motivic integration at work in other domains. In a rapidly-evolving area of research this book will prove invaluable. This first volume contains introductory texts on the model theory of valued fields, different approaches to non-Archimedean geometry, and motivic integration on algebraic varieties and non- Archimedean spaces"--|cProvided by publisher. 588 0 Print version record. 590 eBooks on EBSCOhost|bEBSCO eBook Subscription Academic Collection - North America 650 0 Model theory.|0https://id.loc.gov/authorities/subjects/ sh85086421 650 0 Valued fields.|0https://id.loc.gov/authorities/subjects/ sh85141938 650 0 Analytic spaces.|0https://id.loc.gov/authorities/subjects/ sh85004789 650 0 Geometry, Algebraic.|0https://id.loc.gov/authorities/ subjects/sh85054140 650 7 Model theory.|2fast|0https://id.worldcat.org/fast/1024368 650 7 Valued fields.|2fast|0https://id.worldcat.org/fast/1163905 650 7 Analytic spaces.|2fast|0https://id.worldcat.org/fast/ 808342 650 7 Geometry, Algebraic.|2fast|0https://id.worldcat.org/fast/ 940902 655 4 Electronic books. 700 1 Cluckers, Raf.|0https://id.loc.gov/authorities/names/ n2011034084 700 1 Nicaise, Johannes.|0https://id.loc.gov/authorities/names/ n2011034085 700 1 Sebag, Julien.|0https://id.loc.gov/authorities/names/ n2011034087 776 08 |iPrint version:|tMotivic integration and its interactions with model theory and non-Archimedean geometry. Volume 1. |dCambridge, UK ; New York, NY : Cambridge University Press, 2011|z9780521149761|w(DLC) 2011021254 |w(OCoLC)707967565 830 0 London Mathematical Society lecture note series ;|0https:/ /id.loc.gov/authorities/names/n42015587|v383. 856 40 |uhttps://rider.idm.oclc.org/login?url=http:// search.ebscohost.com/login.aspx?direct=true&scope=site& db=nlebk&AN=400559|zOnline eBook via EBSCO. Access restricted to current Rider University students, faculty, and staff. 856 42 |3Instructions for reading/downloading the EBSCO version of this eBook|uhttp://guides.rider.edu/ebooks/ebsco 901 MARCIVE 20231220 948 |d20190507|cEBSCO|tEBSCOebooksacademic NEW 4-5-19 7552 |lridw 994 92|bRID