La scuola 12TH SEMANTIC WEB SUMMER SCHOOL – SSSW 2016 si terrà a Bertinoro (Bologna) dal 17 al 23 luglio 2016. Maggiori informazioni in questa pagina web.
Prof. Sebastian Heller (University of Tubingen)
November 17-18, 16-18 hr., Palazzo delle Scienze
Contact Stefano Montaldo for more information.
Abstract:
In these lectures I will talk about constant mean curvature (CMC) surfaces of higher genus in space forms from the integrable systems point of view. CMC surfaces are characterized by the harmonicity of their Gauss map and hence deliver an associated family of CMC surfaces (with periods). After recalling the general gauge theoretic description of CMC surfaces and their associated families, I will explain the recent spectral curve approach to CMC surfaces of higher genus. I will introduce a flow on the spectral data which turns out to be a powerful tool for a detailed study of the moduli space of CMC surfaces. Finally, I will report about numerical experiments and about the visualization of CMC surfaces. These lectures are partially based on joint work with Lynn Heller and Nicholas Schmitt.
Plan of the course
- Lezione 1 (martedì 5 maggio 17-19) Strutture complesse e forme simplettiche.
- Lezione 2 (mercoledì 6 maggio 17-19) Metriche a curvature costante su varietà reali e superfici di Riemann.
- Lezione 3 (giovedì 7 maggio 17-19) Varieta’ Kahleriane: coomologia, fibrati lineari, classi di Chern e curvatura.
- Lezione 4 (venerdì 8 maggio 17-19) Varieta’ Kahleriane di Einstein. ddbar-Lemma e Congeture di Calabi. Teorema di Yau (con cenni di dimostrazione).
The course will be held on May 5, 7, 19, 21. Contact Matteo Sommacal or Francesco Demontis for more information.
The course will be held on May 4, 6, 8, 11, 13, 15. Contact Antonio Iannizzotto for more information.
The schedule of the course has been further modified:
- February 10, 11, 12, 13, hr. 10.00-12.00
- March 11, 12, 13, 23, 24, 25 hr. 17.00-19.00
The lectures will take place at the Palazzo delle Scienze. in room B.
The course will start on March 17. Information about the program and the scheduling of the course can be found in the program.
The program and schedule of the course is available.
The lectures of the course will be given at the Aula Magna of the Teatro di Anatomia, Via Ospedale 121, Cagliari. The schedule is the following
- Monday, April 7, 9:00-13.30
- Tuesday, April 8, 9:00-13.30
- Thursday, April 10, 9:00-13.30
- Friday, April 11, 9:00-13.30
Registration to this course is mandatory. To register, complete the application form.
Slides:
The workshop will take place in Cagliari on March 21-22, 2014, at the Department of Mathematics and Computer Science, Via Ospedale 72, Cagliari.