Hodge theory and classical algebraic geometry : conference on Hodge theory and classical algebraic geometry, May 13-15, 2013, the Ohio State University, Columbus, Ohio

Bibliographic Information

Hodge theory and classical algebraic geometry : conference on Hodge theory and classical algebraic geometry, May 13-15, 2013, the Ohio State University, Columbus, Ohio

Gary Kennedy ... [et al.], editors

(Contemporary mathematics, 647)

American Mathematical Society, c2015

Other Title

Hodge theory and classical algebraic geometry

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Other editors: Mirel Caibăr, Ana-Maria Castravet, Emanuele Macrì

Includes bibliographical references

Description and Table of Contents

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.

Table of 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

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