Alessandro Sisto: Catalogue data in Spring Semester 2017
|Name||Dr. Alessandro Sisto|
Professur für Mathematik
ETH Zürich, HG J 43
|Telephone||+41 44 632 93 72|
|401-1004-17L||The 2-Sphere and the Hyperbolic Plane||2 credits||2V||A. Sisto|
|Abstract||In Euclidean geometry, given a line and a point outside of it, there exists a unique line through the given point and parallel to the given line. We will study two of the simplest examples of non-Euclidean geometry, one (the sphere) where there are no parallel lines through a given point, and one (the hyperbolic plane), where there are infinitely many.|
|Objective||Becoming familiar with the (elementary) geometry of the sphere and the hyperbolic plane, which are crucial examples and objects of study in several areas of geometry.|
|401-3140-17L||Hyperbolic Surfaces |
Number of participants limited to 13.
|4 credits||2S||A. Sisto, P. D. Nelson|
|Abstract||Any surface of genus at least 2 admits a metric locally modeled on the hyperbolic plane, and in fact it admits many such metrics. These metric structures play a fundamental roles in the study of surfaces and more in general in low-dimensional topology.|
|Objective||In the first few meetings, we will briefly review the hyperbolic plane and then construct hyperbolic metrics.|
I will then propose a few topics related to hyperbolic metrics and we will decide which one to pursue.
|401-5530-00L||Geometry Seminar||0 credits||1K||M. Burger, M. Einsiedler, A. Iozzi, U. Lang, A. Sisto, University lecturers|