Contents

pp v-vi

Preface

pp vii-viii

Introduction

pp ix-xiv

List of Conference Participants

pp xv-xvii

Frontispiece

pp xviii-xviii

PART I - HODGE THEORY AT THE BOUNDARY

pp 1-1

(I.A) PERIOD DOMAINS AND THEIR COMPACTIFICATIONS

pp 2-2

1 - Classical Period Domains

pp 3-44

2 - The singularities of the invariant metric on the Jacobi line bundle

pp 45-77

3 - Symmetries of Graded Polarized Mixed Hodge Structures

pp 78-86

(I.B) PERIOD MAPS AND ALGEBRAIC GEOMETRY

pp 87-87

4 - Deformation theory and limiting mixed Hodge structures

pp 88-133

5 - Studies of closed/open mirror symmetry for quintic threefolds through log mixed Hodge theory

pp 134-164

6 - The 14th case VHS via K3 fibrations

pp 165-228

PART II - ALGEBRAIC CYCLES AND NORMAL FUNCTIONS

pp 229-230

7 - A simple construction of regulator indecomposable higher Chow cycles in elliptic surfaces

pp 231-240

8 - A relative version of the Beilinson-Hodge conjecture

pp 241-263

9 - Normal functions and spread of zero locus

pp 264-274

10 - Fields of definition of Hodge loci

pp 275-291

11 - Tate twists of Hodge structures arising from abelian varieties

pp 292-307

12 - Some surfaces of general type for which Bloch's conjecture holds

pp 308-330

PART III - THE ARITHMETIC OF PERIODS

pp 331-331

(III.A) MOTIVES, GALOIS REPRESENTATIONS, AND AUTOMORPHIC FORMS

pp 332-332

13 - An introduction to the Langlands correspondence

pp 333-367

14 - Generalized Kuga-Satake theory and rigid local systems I: the middle convolution

pp 368-392

15 - On the fundamental periods of a motive

pp 393-412

(III.B) MODULAR FORMS AND ITERATED INTEGRALS

pp 413-413

16 - Geometric Hodge structures with prescribed Hodge numbers

pp 414-421

17 - The Hodge-de Rham Theory of Modular Groups

pp 422-514