Contents:

• Three Topics in Additive Prime Number Theory (Ben Green)
• Finite Generation of a Canonical Ring (Yujiro Kawamata)
• Recent Progress in GW-Invariants of Calabi-Yau Threefolds (Jun Li)
• Lectures on Stability and Constant Scalar Curvature (D.H. Phong and Jacob Sturm)
• Techniques for the Analytic Proof of the Finite Generation of the Canonical Ring (Yum-Tong Siu)
• Notes on the Seiberg-Witten Equations, the Weinstein Conjecture and Embedded Contact Homology (Clifford Henry Taubes)

Description:

This volume contains fifteen articles presented at the International Conference on Algebra and Related Areas held at Tsinghua University, Beijing, in August 2007. Some are surveys and others are research papers on topics including: algebraic geometry, combinatorics, coding theory, Lie algebras, representation theory of finite groups and algebraic groups, and vertex operator algebras, with their applications. This volume is intended for researchers and graduate students in algebra and related areas.

Description:

This handbook of geometric analysis—the first of the two to be published in the ALM series—presents introductions and survey papers treating important topics in geometric analysis, with their applications to related fields. It can be used as a reference by graduate students and by researchers in related areas.

Description:

This much-anticipated revised second edition of Christopher Sogge’s 1995 work provides a self-contained account of the basic facts concerning the linear wave equation and the methods from harmonic analysis that are necessary when studying nonlinear hyperbolic differential equations.

Description:

This twelfth volume of the annual Surveys in Differential Geometry examines recent developments on a number of geometric flows and related subjects, such as Hamilton’s Ricci flow, formation of singularities in the mean curvature flow, the Kähler-Ricci flow, and Yau’s uniformization conjecture.