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Computational real algebraic geometry studies various algorithmic questions dealing with the real solutions of a system of equalities, inequalities, and inequations of polynomials over the real numbers.

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Oct 16, 2020 · Abstract: Computational conformal geometry covers topics in differential geometry, algebraic topology, PDE, and computer science, and it has been applied in many fields including visualization, computer vision, medical imaging and mechanical design and optimization.

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Computational Algebraic Geometry and Commutative Algebra. ISBN 978-1-4419-2257-1 (3rd edition). Other required material: Use of computer algebra system, such as Macaulay2, Singular, CoCoA, or Sage. All are free/open source. Prerequisites: MATH 230, MATH 332 . Objectives: 1. Students will achieve command of the essentials of computational algebraic

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A new algebraic era in combinatorial geometry: Polynomial partitioning and other algebraic geometry tools Gave the whole area a huge push Many new results, new deep techniques, and a lot of excitement Opening up the door to questions about Incidences between lines, or curves, or surfaces, in three or higher dimensions

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inability to globalize this extension. This argument is computational rather than conceptual, and it does not furnish a geometric interpretation of the entire cohomology group H2(Z;T Z). Let us now sketch an explanation for (c) using the language of spectral algebraic geometry, which does not share these defects.

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In this talk, I will explain the combinatorial tool of folded alcove walks, in addition to surveying a wide range of applications in combinatorics, representation theory, and algebraic geometry. As a concrete example, I will describe a labeling of the points of the moduli space of genus zero curves in the complete complex flag variety using the ...

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Computational algebraic geometry / Hal Schenck. p. cm. - (London Mathematical Society student texts ; 58) Includes bibliographical references and index. ISBN -521-82964-X (hardback) - ISBN -521-53650-2 (pbk.) 1. Geometry, Algebraic - Data processing - Congresses. I. Title. II. Series. QA564.S29 2003 516.3 5 - dc21 2003053074