Seminar on Curves and Surfaces - Seminar über Kurven und Flächen
Wintersemester 2012/2013
Prof. Dr. Anna Wienhard, Dr. Laura Schaposnik and Dr. Gye-Seon Lee
Time and Location - Zeit und Ort
Thursday - Donnerstags 11 - 13 Uhr and INF 288, HS 5
Topic - Inhalt
Curves and surfaces appear in many aspects of daily life, from knots, DNA, and soap bubbles to the surface of your coffee cup. This seminar will discuss geometric properties of curves and surfaces within three-dimensional space.
A standard theme will be the interplay between local geometric quantities (as e.g. curvature) and global properties.
Prerequisites - Vorkenntnisse
This seminar is aimed at students interested in differential geometry, but does not require any previous knowledge of differential geometry. Students are expected to have a solid background in analysis (e.g. by having taken the entire Analysis sequences). The seminar complements the topics of the lecture course on differential geometry.
Interested students from physics are also welcome to attend. The seminar will be taught in english.
Organization - Organisation
Students who would like to sign up for the seminar should send an email to Laura Schaposnik (lauraschaposnik [at] gmail.com) and let her know what talk you would like to give. Once you picked a talk, please contact Laura or Gye-Seon (whoever is listed as advisor for your talk) to discuss the content of your talk in more detail. You should start preparing for your talk several weeks before you are scheduled to give the talk. Please let Laura and Gye-Seon help you during the preparation.
Schedule - Vortragsplan
| Date | Speaker | Title | Advisor |
| October 18 | Organizational Meeting | ||
| October 25 | - | - | - |
| November 8 | Stefan | Regular Surfaces | Gye-Seon |
| November 15 | Stefan | Tangent space and the first fundamental form | Gye-Seon |
| November 22 | Gaofeng | Gauss map, second fundamental form and curvature | Laura |
| November 26 | Gaofeng | Inner geometry - Theorema egregium | Laura |
| December 6 | Gye-Seon | Theorem of Gauss-Bonnet I | - |
| December 13 | Gye-Seon | Theorem of Gauss-Bonnet II | - |
| December 20 | - | - | - |
| January 10 | Axel | Rigidity of the sphere | Gye-Seon |
| January 17 | Axel | Rigidity of the sphere | Gye-Seon |
| January 24 | Julie | Classification of flat tori | Laura |
| January 31 | Julie | Classification of flat tori | Laura |
| February 7 | - | - | - |