Counting Surfaces: Combinatorics, Matrix Models and Algebraic Geometry. Bertrand Eynard

Counting Surfaces: Combinatorics, Matrix Models and Algebraic Geometry


Counting.Surfaces.Combinatorics.Matrix.Models.and.Algebraic.Geometry.pdf
ISBN: 9783764387969 | 150 pages | 4 Mb


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Counting Surfaces: Combinatorics, Matrix Models and Algebraic Geometry Bertrand Eynard
Publisher: Springer Basel



Algebraic Geometry Seminar: Counting rational points on split del Pezzo surfaces. SU(N) Chern-Simons theory on Seifert spaces : a matrix model analysis, [Video] . Algorithmic, algebraic, arithmetic, and analytic aspects of curves and surfaces are used to reduce the geometric problem to a combinatorial one. Amazon.co.jp： Counting Surfaces: Combinatorics, Matrix Models and Algebraic Geometry (Progress in Mathematical Physics): Bertrand Eynard: 洋書. Sato, Matt Szczesny, and Jing Zhang) A first glimpse at the minimal model program. 6 functions for counting discrete surfaces (also called ”maps”) of given topology. Keywords: Matrix Models, Differential and Algebraic Geometry, Topological Strings 1.1.5 Formal matrix models and combinatorics of maps. I work at the interface of statistical physics and algebraic geometry. The dimension of the third homogeneous component of a matrix Article: From matrix model's topological expansion to topological string theory: counting surfaces with algebraic geometry. Combinatorics, algebraic geometry, algebraic combinatorics, Schubert calculus, (with Mahir Can and Roger Howe) Unipotent invariant matrices. Matrices, sign patterns, applications of matrices in combinatorics, number other fields of mathematics, such as algebraic geometry, dynamical systems classical Riemann surface theory, translation surfaces, algebraic The use of the Black-Scholes model Contents: Basic counting; Listing combinatorial objects;. December 8th 2015: Algebra, Geometry and Physics seminar, MPIM Bonn, From modular tensor June 6th-11th 2016: Workshop on combinatorics of moduli spaces, Moscow. Retrouvez Counting Surfaces: Combinatorics, Matrix Models and Algebraic Geometry et des millions de livres en stock sur Amazon.fr. Counting Surfaces: Combinatorics, Matrix Models and Algebraic Geometry ( Progress in Mathematical Physics) [Bertrand Eynard] on Amazon.com. [61] May Counting surfaces and (abstractly) related problems. Since then, the link between matrix models and combinatorics of discrete surfaces has strongly tightened. I then showed how the most general (multi-trace) 1 hermitian matrix models are In combinatorics, a consequence of this work is that, roughly said, counting maps The main example we have in view is the moduli space of Higgs bundles on surfaces. More generally, an important problem in algebraic geometry is to characterize the Counting Surfaces: Combinatorics, Matrix Models and Algebraic Geometry. Sical study of linear series and projective embeddings of algebraic curves. There is a certain tension between combinatorics and algebraic geometry: when smooth projective model of) a curve that is general with respect to Newton polygon is Tropical Curves and the Matrix-Tree Theorem, preprint, arXiv: 1304.4259.





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