Hodge Theory and Classical Algebraic Geometry
Will be published approx. on 30. October 2015
Book
Paperback/Softback
137 pages
978-1-4704-0990-6 (ISBN)
Description
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.
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.
More details
Series
Language
English
Place of publication
Providence
United States
Target group
Professional and scholarly
Dimensions
Height: 254 mm
Width: 178 mm
Weight
230 gr
ISBN-13
978-1-4704-0990-6 (9781470409906)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Persons
Gary Kennedy and Mirel Caibar, Ohio State University, Mansfield, OH, USA.
Ana-Maria Castravet and Emanuele Macri, Northeastern University, Boston, MA, USA.
Ana-Maria Castravet and Emanuele Macri, Northeastern University, Boston, MA, USA.
Content
The stability manifolds of $\mathbb{P}^1$ and local $\mathbb{P}^1$ by A. Bertram, S. Marcus, and J. Wang
Reduced limit period mappings and orbits in Mumford-Tate varieties by M. Green and P. Griffiths
The primitive cohomology of theta divisors by E. Izadi and J. Wang
Neighborhoods of subvarieties in homogeneous spaces by J. Kollar
Unconditional noncommutative motivic Galois groups by M. Marcolli and G. Tabuada
Differential equations in Hilbert-Mumford calculus by Z. Ran
Weak positivity via mixed Hodge modules by C. Schnell
Reduced limit period mappings and orbits in Mumford-Tate varieties by M. Green and P. Griffiths
The primitive cohomology of theta divisors by E. Izadi and J. Wang
Neighborhoods of subvarieties in homogeneous spaces by J. Kollar
Unconditional noncommutative motivic Galois groups by M. Marcolli and G. Tabuada
Differential equations in Hilbert-Mumford calculus by Z. Ran
Weak positivity via mixed Hodge modules by C. Schnell