Some Problems of Unlikely Intersections in Arithmetic and Geometry (AM-181)


Author: Umberto Zannier

Publisher: Princeton University Press

ISBN: 1400842719

Category: Mathematics

Page: 176

View: 982

This book considers the so-called Unlikely Intersections, a topic that embraces well-known issues, such as Lang's and Manin-Mumford's, concerning torsion points in subvarieties of tori or abelian varieties. More generally, the book considers algebraic subgroups that meet a given subvariety in a set of unlikely dimension. The book is an expansion of the Hermann Weyl Lectures delivered by Umberto Zannier at the Institute for Advanced Study in Princeton in May 2010. The book consists of four chapters and seven brief appendixes, the last six by David Masser. The first chapter considers multiplicative algebraic groups, presenting proofs of several developments, ranging from the origins to recent results, and discussing many applications and relations with other contexts. The second chapter considers an analogue in arithmetic and several applications of this. The third chapter introduces a new method for approaching some of these questions, and presents a detailed application of this (by Masser and the author) to a relative case of the Manin-Mumford issue. The fourth chapter focuses on the André-Oort conjecture (outlining work by Pila).

Geometric Complex Analysis

In Honor of Kang-Tae Kim’s 60th Birthday, Gyeongju, Korea, 2017


Author: Jisoo Byun,Hong Rae Cho,Sung Yeon Kim,Kang-Hyurk Lee,Jong-Do Park

Publisher: Springer

ISBN: 9811316724

Category: Mathematics

Page: 361

View: 7962

The KSCV Symposium, the Korean Conference on Several Complex Variables, started in 1997 in an effort to promote the study of complex analysis and geometry. Since then, the conference met semi-regularly for about 10 years and then settled on being held biannually. The sixth and tenth conferences were held in 2002 and 2014 as satellite conferences to the Beijing International Congress of Mathematicians (ICM) and the Seoul ICM, respectively. The purpose of the KSCV Symposium is to organize the research talks of many leading scholars in the world, to provide an opportunity for communication, and to promote new researchers in this field.

Geometry of Moduli


Author: Jan Arthur Christophersen,Kristian Ranestad

Publisher: Springer

ISBN: 3319948814


Page: N.A

View: 9250

Auxiliary Polynomials in Number Theory


Author: David Masser

Publisher: Cambridge University Press

ISBN: 1107061571

Category: Mathematics

Page: 368

View: 7520

A unified account of a powerful classical method, illustrated by applications in number theory. Aimed at graduates and professionals.

G-Functions and Geometry

A Publication of the Max-Planck-Institut für Mathematik, Bonn


Author: Yves André

Publisher: Springer-Verlag

ISBN: 366314108X

Category: Mathematics

Page: 232

View: 2430

Poincarés Vermutung

die Geschichte eines mathematischen Abenteuers


Author: Donal O'Shea

Publisher: N.A

ISBN: 9783596176632


Page: 376

View: 2134

5000 Jahre Geometrie

Geschichte, Kulturen, Menschen


Author: Christoph J. Scriba,Peter Schreiber

Publisher: Springer-Verlag

ISBN: 3540271864

Category: Mathematics

Page: 630

View: 6211

Lange bevor die Schrift entwickelt wurde, hat der Mensch geometrische Strukturen wahrgenommen und systematisch verwendet: ob beim Weben oder Flechten einfacher zweidimensionaler Muster oder beim Bauen mit dreidimensionalen Körpern. Das Buch liefert einen faszinierenden Überblick über die geometrischen Vorstellungen und Erkenntnisse der Menschheit von der Urgesellschaft bis hin zu den mathematischen und künstlerischen Ideen des 20. Jahrhunderts.

Kähler Differentials


Author: Ernst Kunz

Publisher: Vieweg+Teubner Verlag

ISBN: 9783528089733

Category: Mathematics

Page: 402

View: 8823

This book is based on a lecture course that I gave at the University of Regensburg. The purpose of these lectures was to explain the role of Kähler differential forms in ring theory, to prepare the road for their application in algebraic geometry, and to lead up to some research problems. The text discusses almost exclusively local questions and is therefore written in the language of commutative alge bra. The translation into the language of algebraic geometry is easy for the reader who is familiar with sheaf theory and the theory of schemes. The principal goals of the monograph are: To display the information contained in the algebra of Kähler differential forms (de Rham algebra) of a commutative algebra, to int- duce and discuss "differential invariants" of algebras, and to prove theorems about algebras with "differential methods". The most important object we study is the module of Kähler differentials n~/R of an algebra SIR. Like the differentials of analysis, differential modules "linearize" problems, i.e. reduce questions about algebras (non-linear problems) to questions of linear algebra. We are mainly interested in algebras of finite type.

Das weibliche Gehirn

Warum Frauen anders sind als Männer


Author: Louann Brizendine

Publisher: Hoffmann und Campe

ISBN: 3455850782

Category: Social Science

Page: 320

View: 5853

Was Frauen zu Frauen macht Warum gebrauchen Frauen 20 000 Wörter am Tag, während Männer nur 7000 schaffen? Warum erinnern sie sich an Konflikte, von denen Männer meinen, es habe sie nie gegeben - und das, obwohl ihr Gehirn um 9 Prozent kleiner ist? Die Neuropsychiaterin Louann Brizendine präsentiert neueste Erkenntnisse der Gehirnforschung und erklärt in ihrem viel diskutierten Buch, warum Frauen die Welt so gründlich anders sehen als Männer. »Allen Männern zur Lektüre empfohlen, wenn sie gerade nicht an Sex denken.« Weltwoche

Liebe und Mathematik

Im Herzen einer verborgenen Wirklichkeit


Author: Edward Frenkel

Publisher: Springer-Verlag

ISBN: 3662434210

Category: Mathematics

Page: 317

View: 453

Operations Research



Author: Frederick S. Hillier,Gerald J. Liebermann

Publisher: Walter de Gruyter GmbH & Co KG

ISBN: 3486792083

Category: Business & Economics

Page: 868

View: 4679

Aus dem Inhalt: Was ist Operations Research? Überblick über die Modellierungsgrundsätze des Operations Research. Einführung in die lineare Programmierung. Die Lösung linearer Programmierungsprobleme: Das Simplexverfahren. Stochastische Prozesse. Warteschlangentheorie. Lagerhaltungstheorie. Prognoseverfahren. Markov-Entscheidungsprozesse. Reliabilität. Entscheidungstheorie. Die Theorie des Simplexverfahrens Qualitätstheorie und Sensitivitätsanalyse Spezialfälle linearer Programmierungsprobleme. Die Formulierung linearer Programmierungsmodelle und Goal-Programmierung. Weitere Algorithmen der linearen Programmierung. Netzwerkanalyse einschließlich PERT-CPM. Dynamische Optimierung. Spieltheorie. Ganzzahlige Programmierung. Nichtlineare Programmierung Simulation. Anhang. Lösungen für ausgewählte Übungsaufgaben.



Author: Rolf Schneider,Wolfgang Weil

Publisher: Springer-Verlag

ISBN: 3322848248

Category: Technology & Engineering

Page: 222

View: 1732

Mathematical works


Author: Helmut Wielandt

Publisher: Walter de Gruyter

ISBN: 9783110124538

Category: Mathematics

Page: 802

View: 7214

Contains all the mathematical works of the 20th-century German mathematician except those on group theory, which comprise the first volume. Most are on matrix theory. Among them are 24 research papers arranged chronologically, many with commentary by specialists; lecture notes on the analytic theory of matrix groups; his series of contributions to the mathematical treatment of complex eigenvalue problems prepared during the Second World War; and 1973 lecture notes on selected topics of permutation groups. About half of the pieces are in German. No index. Annotation copyrighted by Book News, Inc., Portland, OR

Mathematische Instrumente


Author: Friedrich Adolf Willers

Publisher: N.A


Category: Mathematical instruments

Page: 270

View: 2111