Recent advances in Hodge theory :
xvii, 514 pages : illustrations ; 23 cm. - (London Mathematical Society lecture note series ; 427) Content notes : pt. (I) HODGE THEORY AT THE BOUNDARY --
(I.A). PERIOD DOMAINS AND THEIR COMPACTIFICATIONS --
1. Classical Period Domains / Zheng Zhang --
2. The singularities of the invariant metric on the Jacobi line bundle / Ulf Kuhn --
3. Symmetries of Graded Polarized Mixed Hodge Structures / Aroldo Kaplan --
(I.B). PERIOD MAPS AND ALGEBRAIC GEOMETRY --
4. Deformation theory and limiting mixed Hodge structures / Phillip Griffiths --
5. Studies of closed/open mirror symmetry for quintic threefolds through log mixed Hodge theory / Sampei Usui --
6. The 14th case VHS via K3 fibrations / Alan Thompson --
pt. (II) ALGEBRAIC CYCLES AND NORMAL FUNCTIONS --
7.A simple construction of regulator indecomposable higher Chow cycles in elliptic surfaces / Masanori Asakura --
8.A relative version of the Beilinson-Hodge conjecture / Deepam Patel --
9. Normal functions and spread of zero locus / Morihiko Saito --
10. Fields of definition of Hodge loci / Christian Schnell --
11. Tate twists of Hodge structures arising from abelian varieties / Salman Abdulali --
12. Some surfaces of general type for which Bloch's conjecture holds / C. Weibel --
pt. (III) THE ARITHMETIC OF PERIODS --
(III. A). MOTIVES, GALOIS REPRESENTATIONS, AND AUTOMORPHIC FORMS --
13. An introduction to the Langlands correspondence / Wushi Goldring --
14. Generalized Kuga-Satake theory and rigid local systems I: the middle convolution / Stefan Patrikis --
15. On the fundamental periods of a motive / Hiroyuki Yoshida --
(III. B). MODULAR FORMS AND ITERATED INTEGRALS --
16. Geometric Hodge structures with prescribed Hodge numbers / Donu Arapura --
17. The Hodge-de Rham theory of modular groups / Richard Hain. Hodge theory - Congresses. Algebraic Geometry - Congresses. Differential-algebraic equations - Congresses. Pearlstein, Gregory,
