Hodge Theory and Classical Algebraic Geometry

ISBN-13: 9781470409906 / Angielski

Emanuele Macri;Gary Kennedy;Mirel Caibar

Opis

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.

Spis treści

• The stability manifolds of $\mathbb^1$ and local $\mathbb^1$ 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