Geo II SS 2010

 

TU LV-Nr: 3236 L 223 BMS Advanced Course: Discrete Differential Geometry Lectures: Tue 12-14, Thu 10-12 in room MA 313 Tutorial: Thu 12-14 in room MA 313 Professor: John M. Sullivan, MA 318, tel 314-29279 sullivan@math.tu-berlin.de Office hours: TBA Assistant: Matteo Petrera Office hours: TBA Prerequisites: Geometry I; Diff.Geo I recommended

WWW: Course information is online at www.math.tu-berlin.de/~sullivan/L/10S/Geo2/ News: There will be no tutorial on 15 July. Please turn in the final homework to Matteo Petrera (or leave it in his mailbox in MA 701) by Friday 16 July. There will be no lecture on 8 July. The tutorial that day will be held in the BMS lecture room, MA 212. There will be no lectures on 25 May and 27 May. (The tutorial on 27 May will take place.) Because of the holiday on 13 May, the homework is due in lecture on 11 May. Course work: Weekly homework assignments: due 29 Apr due 6 May due 11 May due 27 May due 24 June due 15 July Literature: Two papers from Discrete Differential Geometry, Birkäuser, 2008: Curvatures of Smooth and Discrete Surfaces Curves of finite total curvature Bobenko and Suris, Discrete Differential Geometry: Integrable Structure, GSM 98, Amer. Math. Soc., 2008 Computing Discrete Minimal Surfaces and Their Conjugates, U. Pinkall, K. Polthier A Conformal Energy for Simplicial Surfaces, A.I. Bobenko Outline: Curvatures of smooth and discrete curves Curvatures of smooth and discrete surfaces Special discretizations of surfaces Connections to integrable systems