Nonabelian Jacobian of Projective Surfaces

From the reviews: "The book is well written, listing the main ideas in sections, and giving the successive results as they appear. The idea of a Jacobian on surfaces is new and important, and this book is the initiation of the study of this interesting object." (Arvid Siqveland, Mathematical Reviews, November, 2013)

• 1 Introduction.- 2 Nonabelian Jacobian J(X; L; d): main properties.- 3 Some properties of the filtration H.- 4 The sheaf of Lie algebras G.- 5 Period maps and Torelli problems.- 6 sl2-structures on F.- 7 sl2-structures on G.- 8 Involution on G.- 9 Stratification of T.- 10 Configurations and theirs equations.- 11 Representation theoretic constructions.- 12 J(X; L; d) and the Langlands Duality.