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	9:00–9:45	—	Registration of participants
	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	Alexander O. Ivanov, Alexey A. Tuzhilin	Discussion on open problem
	16:00	—	Get a dinnerbox
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	Alexander O. Ivanov, Alexey A. Tuzhilin	Discussion on open problem
	16:00	—	Get a dinnerbox
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	Alexander O. Ivanov, Alexey A. Tuzhilin	Discussion on open problem
	16:00	—	Get a dinnerbox
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	Alexander O. Ivanov, Alexey A. Tuzhilin	Discussion on open problem
	16:00	—	Get a dinnerbox
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	Zhang Huichun	Lecture: discussion on open problems
	16:00	—	Get a dinnerbox
	19:00	—	Banquet — Nongyuan building (农园), 3rd floor · venue and address
October 24–25	—	—	Free days with no mandatory classes
October 26, Mon	10:00–10:50	Alexei G. Kushner	Invited talk. Geometric structures and second-order differential equations: results and open problems · Slides (PDF) · Lecture text (PDF)
	10:50–11:10	—	Coffee break
	11:10–12:00	Arsen Kh. Galstyan	Invited talk. On the existence of minimal parametric networks · Slides (PDF)
	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	Alexei G. Kushner	Lecture: discussion on open problems
	16:00	—	Get a dinnerbox
October 27, Tue	10:00–10:50	Semeon A. Bogatyi	Invited talk. Analogues of the Gromov–Hausdorff distance · Slides (PDF)
	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	Semeon A. Bogatyi	Lecture: discussion on open problems
	16:00	—	Get a dinnerbox
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 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 dinnerbox
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	Yu-Sheng Wang	Invited talk. A proof of the globalization theorem in Alexandrov geometry
	14:50–15:10	—	Coffee break
	15:10–16:00	Jiang Wenshuai	Lecture: discussion on open problems
	16:00	—	Get a dinnerbox
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, Danish Ali, Samad Wali	Lecture: discussion on open problems
	16:00	—	Get a dinnerbox

Banquet — Nongyuan building (农园), 3rd floor

Friday, October 23, 2026, at 19:00. The banquet will be held in the Nongyuan building (农园), 3rd floor, Peking University. All participants of the School are warmly welcome!

Venue, address and map

Download program PDF Download program DOCX

After the School

Share your impressions and ideas

The School took place on 19–28 October 2026. Reviews of what worked and suggestions for the next edition — topics, speakers, formats, logistics — are welcome from participants, lecturers and online viewers.

Write a review or suggestion