Real Non-Abelian Mixed Hodge Structures for Quasi-Projective Varieties

J. P. Pridham, University of Edinburgh, United Kingdom.

Introduction
Splittings for MHS on real homotopy types
Non-abelian structures
Structures on cohomology
Relative Malcev homotopy types
Structures on relative Malcev homotopy types
MHS on relative Malcev homotopy types of compact Kahler manifolds
MTS on relative Malcev homotopy types of compact Kahler manifolds
Variations of mixed Hodge and mixed twistor structures
Monodromy at the Archimedean place
Simplicial and singular varieties
Algebraic MHS/MTS for quasi-projective varieties I
Algebraic MHS/MTS for quasi-projective varieties II - non-trivial monodromy
Canonical splittings
${/rm SL}_2$ splittings of non-abelian MTS/MHS and strictification
Bibliography.