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Full 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.
Contents
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
