CIMPA-ICTP Course: Recent Advances in the Spherical Cap Conjecture, Feb. 9-12 at 14:00

ICTP Math Section math at ictp.it
Thu Jan 29 15:12:12 CET 2026


*CIMPA-ICTP Course: Recent Advances in the Spherical Cap Conjecture *

*Flávio Franca Cruz (URCA)*

_*Venue and Timetable:*_

ICTP Leonardo Building - Luigi Stasi Seminar Room

Monday 9 February: 14:00 - 16:00
Tuesday 10 February: 14:00 - 16:00
Wednesday 11 February: 14:00 - 16:00
Thursday 12 February: 14:00 - 16:00

_*Course Overview:*_
The Spherical Cap Conjecture posits that a compact embedded (non-zero) 
CMC surface in R3 bounded by a circle is a spherical cap. This course 
will trace the conjecture’s historical development, present key results 
(e.g., Jellet’s and Koyso’s theorems), and explore recent advances, 
including our work on starshaped surfaces. The first two lectures ensure 
accessibility for Master’s students by introducing CMC surfaces, their 
physical relevance (e.g., soap bubbles), and fundamental geometric and 
analytical tools. The latter two lectures introduce advanced PDE 
techniques and open problems, suitable for doctoral students. The course 
is prepared with great care to serve as a model for students globally, 
with clear explanations, visual aids, and references to resources.

For more details: https://indico.ictp.it/event/11277

Please note: the CIMPA-ICTP Courses will be recorded and broadcasted.




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