Lectures on Mirror Symmetry and Topological String Theory&Murad Alim 1
Introduction to Generalized Geometry and T-Duality&David Baraglia 45
Theta Functions,Old and New&Arnaud Beauville 99
Structure-Preserving Doubling Algorithms&Eric King-wah Chu,Wen-Wei Lin 133
Platonic Solids,Binary Polyhedral Groups Kleinian Singularities and Lie Algebras of Type ADE&Joris van Hoboken 195
Open Problems on Discrete Subgroups of Lie Groups&Lizhen Ji 237
Motives—Grothendieck's Dream&James S. Milne 325
Representations are Everywhere&Nanhua Xi 343
A Note on The Distribution of Critical Points of Eigenfunctions&Shing-Tung Yau 379
Sobolev Inequality for Measure Space&Shing-Tung Yau 383
Open Problems in Differential Geometry&Shing-Tung Yau,Hui Ma,Chung-Jun Tsai,Mu-Tao Wang,En-Tao Zhao 397