| Table of Contents | |||
| Preface to the 19th Takagi Lectures (by T. Kobayashi) | i-iii (PDF) | ||
| Program | iv (PDF) | ||
| * * * | |||
| Mark Braverman | Information Complexity and Applications | 1-40 | |
| Hugo Duminil-Copin | Sharp Threshold Phenomena in Statistical Physics | 41-65 | |
| Roger E. Howe | Rank and Duality in Representation Theory | 67-100 | |
| * * * | |||
| Appendix | |||
| Program (in Japanese) | 102-103 (PDF) | ||
| Poster for the nineteenth Takagi Lectures |
104 (PDF) in English 105 (PDF) in Japanese |
||
| List of Takagi Lecturers | 106-107 (PDF) | ||
| Japanese Journal of Mathematics | 108-116 (PDF) | ||
| Advertisement for JJM | 117 (PDF) | ||
| Cover (JPG) | |||
