Surveys in Differential Geometry

Volume 17 (2012)

Algebra and Geometry: In Memory of C. C. Hsiung

Lectures given at the JDG Symposium, Lehigh University, June 2010

Editors: Cao; Yau

Contents

Boundary value problems for elliptic differential operators of first order

Werner Ballmann and Christian Bär

pp. 1-78

A geometric construction for invariant jet differentials

Gergely Berczi and Frances Kirwan

pp. 79-126

First steps towards a symplectic dynamics

B. Bramham and H. Hofer

pp. 127-178

Rigidity phenomena involving scalar curvature

Simon Brendle

pp. 179-202

Stability, birational transformations, and the Kähler-Einstein problem

S. K. Donaldson

pp. 203-228

Lagrangian Floer theory on compact toric manifolds: A survey

Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta, and Kaoru Ono

pp. 229-298

An introduction to C-infinity schemes and C-infinity algebraic geometry

Dominic Joyce

pp. 299-326

Complex Monge-Ampère equations

D. H. Phong, Jian Song, and Jacob Sturm

pp. 327-410

Some speculations on pairs-of-pants decompositions and Fukaya categories

Paul Seidel

pp. 411-426

The k-Yamabe problem

Weimin Sheng, Neil S. Trudinger, and Xu-Jia Wang

pp. 427-458

Topics on geometric analysis

Shing-Tung Yau

pp. 459-473