WorldCat Identities

Kontsevich, Maxim

Overview
Works: 34 works in 56 publications in 3 languages and 597 library holdings
Genres: Documentary films 
Roles: Editor, Author, Thesis advisor, Interviewee
Classifications: QA3, 515.253
Publication Timeline
.
Most widely held works by Maxim Kontsevich
Pseudoperiodic topology( Book )

7 editions published between 1999 and 2000 in English and held by 213 WorldCat member libraries worldwide

Colors of math by Ekaterina Eremenko( Visual )

3 editions published in 2012 in English and French and held by 8 WorldCat member libraries worldwide

"To most people math appears abstract, mysterious. Complicated. Inaccessible. But math is nothing but a different language to express the world. Math can be sensual. Math can be tasted, it smells, it creates sound and color. One can touch it and be touched by it...." -- Container
Intersection theory on the moduli space of curves and the matrix Airy function by Maxim Kontsevich( Book )

3 editions published in 1991 in English and German and held by 5 WorldCat member libraries worldwide

Homological mirror symmetry and tropical geometry by Ricardo Castaño-Bernard( Book )

6 editions published in 2014 in English and held by 3 WorldCat member libraries worldwide

The relationship between Tropical Geometry and Mirror Symmetry goes back to the work of Kontsevich and Y. Soibelman (2000), who applied methods of non-archimedean geometry (in particular, tropical curves) to Homological Mirror Symmetry. In combination with the subsequent work of Mikhalkin on the {esc}(3z{esc}(Btropical{esc}(3y{esc}(B approach to Gromov-Witten theory, and the work of Gross and Siebert, Tropical Geometry has now become a powerful tool. Homological Mirror Symmetry is the area of mathematics concentrated around several categorical equivalences connecting symplectic and holomorphic (or algebraic) geometry. The central ideas first appeared in the work of Maxim Kontsevich (1993). Roughly speaking, the subject can be approached in two ways: either one uses Lagrangian torus fibrations of Calabi-Yau manifolds (the so-called Strominger-Yau-Zaslow picture, further developed by Kontsevich and Soibelman) or one uses Lefschetz fibrations of symplectic manifolds (suggested by Kontsevich and further developed by Seidel). Tropical Geometry studies piecewise-linear objects which appear as {esc}(3z{esc}(Bdegenerations{esc}(3y{esc}(B of the corresponding algebro-geometric objects
Lyapunov exponents and hodge theory by Maxim Kontsevich( Book )

2 editions published in 1997 in English and held by 2 WorldCat member libraries worldwide

Sur le groupe de Cremona et ses sous-groupes by Alexandr Usnich( Book )

1 edition published in 2008 in English and held by 2 WorldCat member libraries worldwide

Ce travail peut être divisé en trois partie: 1. Théorie des groupes. Il s'agit ici d'une étude de la structure du groupe T de Thompson. On explique la notion de la mutation linéaire par morceaux et on obtient la nouvelle présentation de ce groupe en termes des génerateurs et relations. 2. Géometrie birationnelle. On étudie en détail le groupe de Cremona qui est un groupe des automorphismes birationnels du plan projectif. En particulier on s'interesse à son sous-groupe Symp des elements qui préserve le crochet de Poisson dit logarithmique, aussi bien qu'à un sous-groupe H engendré par SL(2,Z) et par les mutations. On construit des limites projectives des surfaces sur lesquelles ces groupes agissent régulièrement, et on en déduit les répresentations linéaires de ces groupes dans les limites inductives des groupes de Picard des surfaces. 3. Algèbre homologique. A partir d'une variété algébrique on construit une catégorie triangulée qui ne dépend que de sa classe birationnelle. En utilisant la technique de quotient de dg-catégories, on calcule explicitement cette catégorie pour les surfaces rationnelles. Comme consequence on obtient l'action du groupe de Cremona sur une algébre non-commutative par les automorphismes extérieures. On donne les applications de ces résultats aux formules des mutations des variables non-commutatives
Gromov-Witten classes, quantum cohomology and enumerative geometry by Maxim Kontsevich( Book )

2 editions published in 1994 in English and held by 2 WorldCat member libraries worldwide

Nonocmmutative spaces by Maxim Kontsevich( Book )

2 editions published in 2004 in English and held by 2 WorldCat member libraries worldwide

La géométrie et la théorie conforme des champs by Alexandre Engoulatov( Book )

1 edition published in 2006 in English and held by 2 WorldCat member libraries worldwide

This thesis deals with a Riemannian geometric question which is motivated by the problem of compactifying the moduli space of Conformal Field Theories (CFT). M. Kontsevich associates to a degenerating sequence of CFT's a limiting object which contains a Riemannian manifold M with nonnegative Ricci curvature, and its graph field theory. This amounts to a family of operators on tensor powers of the Hilbert space L^2(M), indexed by metric graphs. For instance, the operator attached to the graph with two vertices and one edge of length t is the heat semigroup P_t. The main result in the thesis is an a priori estimate of the norm of the gradient of the logarithm of the heat kernel on a compact Riemannian manifold, for short times, depending on the lower bound on Ricci curvature and on diameter only. The proof, which uses stochastic calculus, extends to certain semigroups satisfying curvature-dimension inequalities, in the sense of D. Bakry and M. Emery. Using J. Cheeger and T. H. Colding's structure results on limit spaces of such Riemannian manifolds, it is shown that the a priori estimate extends to these singular limit spaces. A compactness theorem for graph field theories associated with compact Riemannian manifolds satisfying a uniform lower bound on Ricci curvature follows
Determinants of elliptic pseudo-differential operators by Maxim Kontsevich( Book )

2 editions published in 1994 in English and held by 2 WorldCat member libraries worldwide

Enumeration of rational curves via torus actions by Maxim Kontsevich( Book )

2 editions published in 1994 in English and held by 2 WorldCat member libraries worldwide

Rozansky-Witten invariants via formal geometry by Maxim Kontsevich( Book )

2 editions published in 1997 in English and held by 2 WorldCat member libraries worldwide

Frobenius manifolds and formality of Lie algebras of polyvector fields by Sergeĭ Barannikov( Book )

1 edition published in 1998 in English and held by 1 WorldCat member library worldwide

A Special volume dedicated to the memory of F.A. Berezin( Book )

1 edition published in 2005 in English and held by 1 WorldCat member library worldwide

Noncummutative stacks by Maxim Kontsevich( Book )

1 edition published in 2004 in English and held by 1 WorldCat member library worldwide

Noncommutative smooth spaces by Maxim Kontsevich( Book )

1 edition published in 1999 in English and held by 1 WorldCat member library worldwide

Deformation quantization of Poisson manifolds by Maxim Kontsevich( Book )

in English and held by 1 WorldCat member library worldwide

Noncummutative spaces and flat descent by Maxim Kontsevich( Book )

1 edition published in 2004 in English and held by 1 WorldCat member library worldwide

Noncummutative spaces and flat descent( )

1 edition published in 2004 in English and held by 1 WorldCat member library worldwide

 
moreShow More Titles
fewerShow Fewer Titles
Audience Level
0
Audience Level
1
  Kids General Special  
Audience level: 0.72 (from 0.48 for Homologica ... to 0.96 for Sur le gro ...)

Pseudoperiodic topology
Alternative Names
Kontsevich, M. L.

Kontsevich, Maxim.

Kontzevitch, Maxim

Konzewitsch, Maxim Lwowitsch 1964-

Maksim Koncevič matematico russo

Maksim Koncewicz

Maksim Kontsévich

Maksim Kontsevitš

Maksim Lvovič Koncevič

Maxim Kontsevich Russian-born French mathematician and Fields Medallist

Maxim Kontsevitsj

Maxim Kontsevitsj Russisch wiskundige

Màxim Kontsevitx

Maxim Lvovič Koncevič

Maxim Lwowitsch Konzewitsch russischer Mathematiker

Maxime Kontsevitch mathématicien russe

Концевич Максим Львович

Максим Концевич российский и французский математик

Максим Львович Концевич

מקסים קונטסביץ'

مكسيم كونتسفيتش

میکسم کونٹسیوچ

막심 콘체비치

マキシム・コンツェビッチ

马克西姆·孔采维奇

Languages
English (40)

German (1)

French (1)

Covers