Current Developments in Mathematics

Volume 2009

Current Developments in Mathematics, 2009

Editors: Jerison; Mazur; Mrowka; Schmid; Stanley; Yau

Contents

Survey on the fundamental lemma

Bao Châu Ngô

pp. 1-22

The Arf-Kervaire problem in algebraic topology: an introduction

Michael A. Hill, Michael J. Hopkins, and Douglas C. Ravenel

pp. 23-58

Phase transitions, minimal surfaces, and a conjecture of de Giorgi

O. Savin

pp. 59-114

Recent developments in mathematical quantum chaos

Steve Zelditch

pp. 115-204