Abstract: Aim of this short course is to introduce the main concepts and ideas that lead to the definition of Alexandrov spaces. More in detail, we will:
• introduce the definition of metric space, focusing our attention on examples and first properties of these spaces;
• study the length structures induced by metrics;
• quantify the distance between two metric spaces, introducing the so-called Gromov-Hausdorff distance;
• find a way to speak about lower bounds on the curvature of metric spaces and present the definition of Alexandrov spaces.
Time table:
Tuesday, March 29, 9.45 to 11.15 am; SR 15; Oskar-Morgenstern-Platz 1 (OMP1)
Thursday, March 31, 9.45 to 11.15 am, SR 15, OMP1
Friday, April 1, 1.15 to 2.45 pm, SR 15, OMP1
Tuesday, April 5, 9.45 to 11.15 am, SR 10, OMP1
Thursday, April 7, 9.45 to 11.15 am, SR 10, OMP1