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118,56 €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.
Authors
Gary Kennedy and Mirel Caibar, Ohio State University, Mansfield, OH, USA. Ana-Maria Castravet and Emanuele Macri, Northeastern University, Boston, MA, USA.
Contents
Preface vii
The stability manifolds of P1 and local P1
Aaron Bertram, Steffen Marcus, and Jie Wang 1
Reduced limit period mappings and orbits in Mumford-Tate varieties
Mark Green and Phillip Griffiths 19
The primitive cohomology of theta divisors
Elham Izadi and Jie Wang 79
Neighborhoods of subvarieties in homogeneous spaces
Janos Koll ´ ar´ 91
Unconditional noncommutative motivic Galois groups
Matilde Marcolli and Gonc¸alo Tabuada 109
Differential equations in Hilbert-Mumford Calculus
Ziv Ran 117
Weak positivity via mixed Hodge modules
Christian Schnell 129
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