COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

University of Cambridge > Talks.cam > Cambridge Analysts' Knowledge Exchange > Pfaffian systems and the fundamental theorem of surface theory

## Pfaffian systems and the fundamental theorem of surface theoryAdd to your list(s) Download to your calendar using vCal - Florian Litzinger, Queen Mary University of London
- Thursday 21 February 2019, 16:00-17:00
- MR14, Centre for Mathematical Sciences.
If you have a question about this talk, please contact Angeliki Menegaki. The fundamental theorem of surface theory states that there exists an immersion of a surface in three-dimensional space with prescribed first and second fundamental forms whenever the given forms satisfy the Gauß–Codazzi–Mainardi equations. The proof is based on the solution of a Pfaffian system, which is a system of first-order linear PDE , and an application of the Poincaré lemma. Consequently, the regularity of the resulting immersion crucially depends on the regularity of the solution of the corresponding Pfaffian system. This talk shall give an introduction to the classical smooth case, the existing regularity theory, and a possible extension to the optimal regularity. This talk is part of the Cambridge Analysts' Knowledge Exchange series. ## This talk is included in these lists:- All CMS events
- CMS Events
- Cambridge Analysts' Knowledge Exchange
- DAMTP info aggregator
- Interested Talks
- MR14, Centre for Mathematical Sciences
- My seminars
- bld31
Note that ex-directory lists are not shown. |
## Other listsShowing of the Film 'STAR MEN' Mental Health Life Course Lecture Series Life Sciences## Other talksConservation, Evolution and Biodiversity in Colombia Energy exchanges in open quantum systems, applied to quasi-free fermions. A Healthy Society - 'Going into the Depths' - Series of Talks Local restriction theorem and maximal Bochner-Riesz operator for the Dunkl transforms When the search for Salmonella reveals more’ Random sections of ellipsoids and the power of random information |