Program
Detailed daily schedule
The school combines mini-courses, invited talks and lecture series, exercises on Gromov-Hausdorff distance, and open problems sessions. Free days are kept on October 24–25.
| Date | Time | Speaker | Session |
|---|---|---|---|
| October 19, Mon | 9:45–10:00 | Zhang Jiping | School opening, welcome speech |
| 10:00–10:50 | Alexander O. Ivanov | Lecture 1. Hausdorff and Gromov–Hausdorff distances | |
| 10:50–11:10 | — | Coffee break | |
| 11:10–12:00 | Alexander O. Ivanov | Lecture 2. Properties of the Gromov–Hausdorff distance | |
| 12:00 | — | Get a lunchbox | |
| 14:00–14:50 | Boris A. Nesterov | Lecture: how to solve problems | |
| 14:50–15:10 | — | Coffee break | |
| 15:10–16:00 | — | Discussion on open problem | |
| 16:00 | — | Get a lunchbox | |
| October 20, Tue | 10:00–10:50 | Alexander O. Ivanov | Lecture 3. Compact metric spaces in GH-topology |
| 10:50–11:10 | — | Coffee break | |
| 11:10–12:00 | Alexander O. Ivanov | Lecture 4. Local and global isometries of space ℳ | |
| 12:00 | — | Get a lunchbox | |
| 14:00–14:50 | Boris A. Nesterov | Lecture: how to solve problems | |
| 14:50–15:10 | — | Coffee break | |
| 15:10–16:00 | — | Discussion on open problem | |
| 16:00 | — | Get a lunchbox | |
| October 21, Wed | 10:00–10:50 | Alexey A. Tuzhilin | Lecture 1. Applications of GH distance: MST-spectrum, Borsuk problem and combinatorial invariants |
| 10:50–11:10 | — | Coffee break | |
| 11:10–12:00 | Alexey A. Tuzhilin | Lecture 2. Ultrametrization and its applications in GH geometry | |
| 12:00 | — | Get a lunchbox | |
| 14:00–14:50 | Boris A. Nesterov | Lecture: how to solve problems | |
| 14:50–15:10 | — | Coffee break | |
| 15:10–16:00 | — | Discussion on open problem | |
| 16:00 | — | Get a lunchbox | |
| October 22, Thu | 10:00–10:50 | Alexey A. Tuzhilin | Lecture 3. Topological methods in GH-distance estimates |
| 10:50–11:10 | — | Coffee break | |
| 11:10–12:00 | Alexey A. Tuzhilin | Lecture 4. Estimation of the GH-distance to a normed space through the Jung constant | |
| 12:00 | — | Get a lunchbox | |
| 14:00–14:50 | Boris A. Nesterov | Lecture: how to solve problems | |
| 14:50–15:10 | — | Coffee break | |
| 15:10–16:00 | — | Discussion on open problem | |
| 16:00 | — | Get a lunchbox | |
| October 23, Fri | 10:00–10:50 | Zhang Huichun | Lecture 1. Introduction to Alexandrov geometry |
| 10:50–11:10 | — | Coffee break | |
| 11:10–12:00 | Zhang Huichun | Lecture 2. A brief introduction to RCD spaces | |
| 12:00 | — | Get a lunchbox | |
| 14:00–14:50 | Zhang Huichun | Lecture: how to solve problems | |
| 14:50–15:10 | — | Coffee break | |
| 15:10–16:00 | — | Discussion on open problem | |
| 16:00 | — | Get a lunchbox | |
| 19:00 | — | Banquet | |
| October 24–25 | — | — | Free days with no mandatory classes |
| October 26, Mon | 10:00–10:50 | Semeon A. Bogatyi | Invited talk. Analogues of the Gromov–Hausdorff distance |
| 10:50–11:10 | — | Coffee break | |
| 11:10–12:00 | Arsen Kh. Galstyan | Invited talk. On the existence of minimal parametric networks | |
| 12:00 | — | Get a lunchbox | |
| 14:00–14:50 | Arsen Kh. Galstyan | Lecture: how to solve problems | |
| 14:50–15:10 | — | Coffee break | |
| 15:10–16:00 | Semeon A. Bogatyi | Lecture: discussion on open problems | |
| 16:00 | — | Get a lunchbox | |
| October 27, Tue | 10:00–10:50 | Alexei G. Kushner | Invited talk. Geometric structures and second-order differential equations: results and open problems |
| 10:50–11:10 | — | Coffee break | |
| 11:10–12:00 | Li Yan | Invited talk. Gromov–Hausdorff convergence with group action | |
| 12:00 | — | Get a lunchbox | |
| 14:00–14:50 | Li Yan | Lecture: how to solve problems | |
| 14:50–15:10 | — | Coffee break | |
| 15:10–16:00 | Alexei G. Kushner | Lecture: discussion on open problems | |
| 16:00 | — | Get a lunchbox | |
| October 28, Wed | 10:00–10:50 | Zhang Huichun | Lecture 3. Bochner inequality and linear geometric analysis on Alexandrov/RCD spaces |
| 10:50–11:10 | — | Coffee break | |
| 11:10–12:00 | Jiang Wenshuai | Lecture 1. Volume comparison, segment inequality, Poincaré and Sobolev inequalities, elliptic estimates | |
| 12:00 | — | Get a lunchbox | |
| 14:00–14:50 | Zhang Huichun | Lecture: how to solve problems | |
| 14:50–15:10 | — | Coffee break | |
| 15:10–16:00 | — | Discussion on open problem | |
| 16:00 | — | Get a lunchbox | |
| October 29, Thu | 10:00–10:50 | Jiang Wenshuai | Lecture 2. GH-splitting theorem, volume convergence, almost volume cone and almost metric cone |
| 10:50–11:10 | — | Coffee break | |
| 11:10–12:00 | Jiang Wenshuai | Lecture 3. Almost volume cone, almost metric cone, and related applications | |
| 12:00 | — | Get a lunchbox | |
| 14:00–14:50 | Zhang Huichun | Lecture 4. Sobolev spaces with metric targets | |
| 14:50–15:10 | — | Coffee break | |
| 15:10–16:00 | Jiang Wenshuai | Lecture: discussion on open problems | |
| 16:00 | — | Get a lunchbox | |
| October 30, Fri | 10:00–10:50 | Jiang Wenshuai | Lecture 4. Regularity theorem and structure of Ricci limit spaces |
| 10:50–11:10 | — | Coffee break | |
| 11:10–12:00 | Jiang Wenshuai | Lecture 5. Open problems and further topics on the geometry of Ricci curvature | |
| 12:00 | — | Get a lunchbox | |
| 14:00–14:50 | Zhang Huichun | Lecture 5. Regularity of harmonic maps and heat flows into CAT(0) spaces | |
| 14:50–15:10 | — | Coffee break | |
| 15:10–16:00 | Jiang Wenshuai | Lecture: discussion on open problems | |
| 16:00 | — | Get a lunchbox |