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Motivic Homotopy Theory and Refined Enumerative Geometry

This volume contains the proceedings of the Workshop on Motivic Homotopy Theory and Refined Enumerative Geometry, held from May 14-18, 2018;

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Triangulated Categories of Mixed Motives

in a self-contained manner and could be accessible to graduate students with a background in algebraic geometry and homotopy theory. It;

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K-Theory

over algebraic geometry, topology, algebraic $K$-theory and number theory. Algebraic theory, $\\mathbb{A}^1$-homotopy theory and topological $K$-theory;

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Stable Stems

The author presents a detailed analysis of 2-complete stable homotopy groups, both in the classical context and in the motivic context;

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Motivic Integration And Its Interactions With Model Theory A

researchers from algebraic geometry, model theory and number theory. Applications in several areas are included so that readers can see motivic;

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Motivic Integration And Its Interactions With Model Theory A

researchers from algebraic geometry, model theory and number theory. Applications in several areas are included so that readers can see motivic;

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Enumerative Geometry and String Theory

idea of string theory, and how these directly lead to questions in geometry. Once these topics are in place, the connection between physics and;

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Mixed Motives

This book combines foundational constructions in the theory of motives and results relating motivic cohomology to more explicit;

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Cycles, Transfers, and Motivic Homology Theories. (AM-143), Volume 143

of this volume. The theory of presheaves with transfers and more specifically homotopy invariant presheaves with transfers is the main theme;

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Etale Homotopy of Simplicial Schemes. (AM-104), Volume 104

algebraic geometry by M. Artin and B. Mazur. Eric M. Friedlander presents many of his own applications of this theory to algebraic topology, finite;

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New Directions in Homotopy Theory

University in Baltimore, Maryland. The focus of the conference, and subsequent papers, was on applications of innovative methods from homotopy theory;

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Homotopy Theory of Schemes

In this text, the author presents a general framework for applying the standard methods from homotopy theory to the category of smooth;

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Modal Homotopy Type Theory

pedigree. Modal Homotopy Type Theory: The Prospect of a New Logic for Philosophy offers an introduction to this new language and its modal;

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Homotopy Theory with Bornological Coarse Spaces

graduate students and researchers who want to learn about the homotopy-theoretical aspects of large scale geometry via the theory of infinity;

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Chern-Simons Theory, Matrix Models, And Topological Strings

theories and develops the mathematical implications of this duality for the enumerative geometry of Calabi-Yau manifolds and knot theory. It;

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Enumerative Invariants in Algebraic Geometry and String Theory: Lectures Given at the C.I.M.E. Summer School Held in Cetraro, Italy, June 6-11, 2005

Starting in the middle of the 80s, there has been a growing and fruitful interaction between algebraic geometry and certain areas;

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Geometry of Moduli

, enumerative geometry, hyper-kahler geometry, syzygies of curves and Brill-Noether theory and stability conditions. Moduli theory is ubiquitous;

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Singularity Theory And Its Application

, complex analytic singularity theory, generic differential geometry etc.Published by Mathematical Society of Japan and distributed by World;

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Algebraic Models in Geometry

Rational homotopy is a very powerful tool for differential topology and geometry. This text aims to provide graduates and researchers with;

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Topology and Geometry

, cohomology, products and duality, the fundamental group, homology theory, and homotopy theory. From the reviews: An interesting and original;

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London Mathematical Society Lecture Note Series

present expository lecture notes and cutting-edge research papers on the theory and applications of torsors and etale homotopy, all written from;

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Model Categories And Their Localizations

used in other fields where homotopy theoretic ideas are becoming important, including modern algebraic $K$-theory and algebraic geometry;

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A Celebration of Algebraic Geometry

, enumerative geometry both classical and modern, rationally connected and Fano varieties, Hodge theory and abelian varieties, and Calabi-Yau and;

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Higher Categories and Homotopical Algebra

This book provides an introduction to modern homotopy theory through the lens of higher categories after Joyal and Lurie, giving access to;

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Algebraic Methods In Unstable Homotopy Theory

The most modern and thorough treatment of unstable homotopy theory available. The focus is on those methods from algebraic topology which;

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Homotopy Theory

This volume contains the proceedings of the conference Homotopy Theory: Tools and Applications, in honor of Paul Goerss's 60th birthday;

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The Seventh European Conference on Combinatorics, Graph Theory and Applications

), and Eurocomb'11 (Budapest), this volume covers recent advances in combinatorics and graph theory including applications in other areas;

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