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Hodge Theory and Classical Algebraic Geometry
 
Edited by: Gary Kennedy Ohio State University, Mansfield, OH
Mirel Caibăr Ohio State University, Mansfield, OH
Ana-Maria Castravet Northeastern University, Boston, MA
Emanuele Macrì Northeastern University, Boston, MA
Front Cover for Hodge Theory and Classical Algebraic Geometry
Available Formats:
Electronic ISBN: 978-1-4704-2671-2
Product Code: CONM/647.E
List Price: $105.00
MAA Member Price: $94.50
AMS Member Price: $84.00
Front Cover for Hodge Theory and Classical Algebraic Geometry
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  • Front Cover for Hodge Theory and Classical Algebraic Geometry
  • Back Cover for Hodge Theory and Classical Algebraic Geometry
Hodge Theory and Classical Algebraic Geometry
Edited by: Gary Kennedy Ohio State University, Mansfield, OH
Mirel Caibăr Ohio State University, Mansfield, OH
Ana-Maria Castravet Northeastern University, Boston, MA
Emanuele Macrì Northeastern University, Boston, MA
Available Formats:
Electronic ISBN:  978-1-4704-2671-2
Product Code:  CONM/647.E
List Price: $105.00
MAA Member Price: $94.50
AMS Member Price: $84.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 6472015; 137 pp
    MSC: Primary 14; 32; 58;

    This volume contains the proceedings of a conference on Hodge Theory and Classical Algebraic Geometry, held May 13–15, 2013, at The Ohio State University, Columbus, OH.

    Hodge theory is a powerful tool for the study and classification of algebraic varieties. This volume surveys recent progress in Hodge theory, its generalizations, and applications. The topics range from more classical aspects of Hodge theory to modern developments in compactifications of period domains, applications of Saito's theory of mixed Hodge modules, and connections with derived category theory and non-commutative motives.

    Readership

    Graduate students and research mathematicians interested in algebraic geometry, representation theory, and derived categories.

  • Table of Contents
     
     
    • Articles
    • Aaron Bertram, Steffen Marcus and Jie Wang - The stability manifolds of $\mathbb {P}^1$ and local $\mathbb {P}^1$
    • Mark Green and Phillip Griffiths - Reduced limit period mappings and orbits in Mumford-Tate varieties
    • Elham Izadi and Jie Wang - The primitive cohomology of theta divisors
    • János Kollár - Neighborhoods of subvarieties in homogeneous spaces
    • Matilde Marcolli and Gonçalo Tabuada - Unconditional noncommutative motivic Galois groups
    • Ziv Ran - Differential equations in Hilbert-Mumford Calculus
    • Christian Schnell - Weak positivity via mixed Hodge modules
  • Additional Material
     
     
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Volume: 6472015; 137 pp
MSC: Primary 14; 32; 58;

This volume contains the proceedings of a conference on Hodge Theory and Classical Algebraic Geometry, held May 13–15, 2013, at The Ohio State University, Columbus, OH.

Hodge theory is a powerful tool for the study and classification of algebraic varieties. This volume surveys recent progress in Hodge theory, its generalizations, and applications. The topics range from more classical aspects of Hodge theory to modern developments in compactifications of period domains, applications of Saito's theory of mixed Hodge modules, and connections with derived category theory and non-commutative motives.

Readership

Graduate students and research mathematicians interested in algebraic geometry, representation theory, and derived categories.

  • Articles
  • Aaron Bertram, Steffen Marcus and Jie Wang - The stability manifolds of $\mathbb {P}^1$ and local $\mathbb {P}^1$
  • Mark Green and Phillip Griffiths - Reduced limit period mappings and orbits in Mumford-Tate varieties
  • Elham Izadi and Jie Wang - The primitive cohomology of theta divisors
  • János Kollár - Neighborhoods of subvarieties in homogeneous spaces
  • Matilde Marcolli and Gonçalo Tabuada - Unconditional noncommutative motivic Galois groups
  • Ziv Ran - Differential equations in Hilbert-Mumford Calculus
  • Christian Schnell - Weak positivity via mixed Hodge modules
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