Differential Geometry II – Geometry of Submanifolds
Lecture: Mo, Mi, 12-14h, SR 404, Ernst-Zermelo-Str. 1
Tutorial: 2 hours, date to be determined
Teacher: Guofang Wang
Assistant: Xuwen Zhang
Language: in German
In the lecture, we discuss the geometry of the sub-manifolds of Euclidian spaces. Examples of such sub-manifolds are curves in the plane and surfaces in the 3-dimensional space. In the 1st part we introduce the external geometry of the sub-manifold, e.g. the second fundamental form, the mean curvature, the first variation of the area, the equations of Gauss, Codazzi and Ricci. In the 2nd part we examine tminimal hypersurfaces (minimal surfaces), the hypersurface with constant mean curvature and the geometric inequalities, the isoperimetric inequality and its generalisations.
Analysis III and "Differential Geometry" or "Curves and Surfaces"
Elective (Option Area) (2HfB21)
Compulsory Elective in Mathematics (BSc21)
Pure Mathematics (MSc14)
Mathematics (MSc14)
Concentration Module (MSc14)
Elective (MSc14)
Elective (MScData24)
Undergraduate seminar: One-Dimensional Maximum Principle
Seminar: Mi, 16-18h, SR 125, Ernst-Zermelo-Str. 1
Preliminary Meeting 05.02., 16:00, SR 125, Ernst-Zermelo-Str. 1
Preparation meetings for talks: Dates by arrangement
Teacher: Guofang Wang
Assistant: Xuwen Zhang
Language: in German
Analysis I and II
Undergraduate Seminar (2HfB21, BSc21, MEH21, MEB21)
Working group seminar: Geometrical Analysis
Di, 16-18h, SR 404, Ernst-Zermelo-Str. 1
Teacher: Ernst Kuwert, Guofang Wang
Lecture: Mo, Mi, 12-14h, HS II, Albertstr. 23b
Tutorial: 2 hours, date to be determined
Teacher: Guofang Wang
Assistant: Christine Schmidt, Xuwen Zhang
Language: in German
A large number of different problems from the natural sciences and geometry lead to partial differential equations. Consequently, there can be no talk of an all-encompassing theory. Nevertheless, there is a clear picture for linear equations, which is based on three prototypes: the potential equation \(-\Delta u = f\), the heat equation \(u_t - \Delta u = f\) and the wave equation \(u_{tt} - \Delta u = f\), which we will examine in the lecture.
Required: Analysis III \ Recommended: Complex Analysis ({\em Funktionentheorie})
Elective (Option Area) (2HfB21)
Compulsory Elective in Mathematics (BSc21)
Mathematical Concentration (MEd18, MEH21)
Pure Mathematics (MSc14)
Mathematics (MSc14)
Concentration Module (MSc14)
Elective (MSc14)
Elective (MScData24)
Seminar: Mi, 16-18h, SR 125, Ernst-Zermelo-Str. 1
Preliminary Meeting 17.07., 16:00
Preparation meetings for talks: Dates by arrangement
Teacher: Guofang Wang
Assistant: Xuwen Zhang
Language: Talk/participation possible in German and English
Minimal surfaces are surfaces in space with a “minimal” area and can be described using holomorphic functions. They occur, for example in the investigation of soap skins and the construction of stable objects (e.g. in architecture). In the investigation of minimal surfaces elegant methods from various mathematical fields such as function theory, calculus of variations, differential geometry and partial differential equations. are applied.
Required: Analysis III or knowledge about multidimensional integration and complex analysis. \ Recommended: Elementary knowledge about differential geometry.
Elective (Option Area) (2HfB21)
Mathematical Seminar (BSc21)
Compulsory Elective in Mathematics (BSc21)
Supplementary Module in Mathematics (MEd18)
Mathematical Seminar (MSc14)
Elective (MSc14)
Elective (MScData24)
Working group seminar: Geometrical Analysis
Di, 16-18h, SR 125, Ernst-Zermelo-Str. 1
Teacher: Ernst Kuwert, Guofang Wang
Language: Talk/participation possible in German and English
Lecture: Mo, Mi, 14-16h, SR 404, Ernst-Zermelo-Str. 1
Teacher: Guofang Wang
Assistant: Christine Schmidt
general:
Mi, 16-18h, SR 125, Ernst-Zermelo-Str. 1
Teacher: Guofang Wang
Assistant: Florian Johne
Compulsory Elective in Mathematics (BSc21)
Supplementary Module in Mathematics (MEd18)
Di, 16-18h, SR 125, Ernst-Zermelo-Str. 1
Teacher: Guofang Wang
Lecture: Mi, 14-16h, HS Rundbau, Albertstr. 21
04.08., 09:00-12:00
Sit-in exam (resit) 21.10., 10:00-13:00
Teacher: Sören Bartels, Guofang Wang
Assistant: Oliver Suchan
general: ,
Lecture: Di, Do, 10-12h, HS Weismann-Haus, Albertstr. 21a
03.08., 10:00-12:30
Teacher: Guofang Wang
Assistant: Christine Schmidt
general:
Mathematical Concentration (MEd18, MEH21)
Pure Mathematics (MSc14)
Compulsory Elective in Mathematics (BSc21)
Di, 14-16h, SR 127, Ernst-Zermelo-Str. 1
Teacher: Guofang Wang
Assistant: Fengrui Yang
Supplementary Module in Mathematics (MEd18)
Compulsory Elective in Mathematics (BSc21)
Di, 16-18h, SR 127, Ernst-Zermelo-Str. 1
Teacher: Ernst Kuwert, Guofang Wang
Assistant: Fengrui Yang
Lecture: Di, Do, 12-14h, HS II, Albertstr. 23b
Teacher: Guofang Wang
Assistant: Fengrui Yang
general:
Compulsory Elective in Mathematics (BSc21)
Mi, 16-18h, SR 125, Ernst-Zermelo-Str. 1
Teacher: Guofang Wang
Assistant: Christine Schmidt
Undergraduate Seminar (2HfB21, BSc21, MEH21, MEB21)
Teacher: Patrick Dondl, Sören Bartels
Assistant: Vera Jackisch, Guofang Wang
Di, 16-18h, HS II, Albertstr. 23b
Teacher: Ernst Kuwert, Guofang Wang
Assistant: Fengrui Yang
Lecture: Mi, 14-16h, HS Rundbau, Albertstr. 21
04.08., 10:00-14:00
Sit-in exam (resit) 22.10., 00:00-00:00
Teacher: Sören Bartels
Assistant: Guofang Wang
general: ,
Lecture: Mo, Mi, 8-10h, SR 404, Ernst-Zermelo-Str. 1
Teacher: Guofang Wang
Assistant: Fengrui Yang
general:
Compulsory Elective in Mathematics (BSc21)
Mo Mi, 16-18h, HS Rundbau, Albertstr. 21
Teacher: Patrick Dondl
Assistant: Guofang Wang
Teacher: Sören Bartels
Assistant: Guofang Wang
general:
Computer Exercise (2HfB21, MEH21, MEB21)
Supplementary Module in Mathematics (MEd18)
Di, 12-14h, SR 404, Ernst-Zermelo-Str. 1
Teacher: Guofang Wang
Assistant: Marius Müller
Supplementary Module in Mathematics (MEd18)
Compulsory Elective in Mathematics (BSc21)
Di, 16-18h, SR 127, Ernst-Zermelo-Str. 1
Teacher: Ernst Kuwert, Guofang Wang
Assistant: Fengrui Yang
Lecture: Mo, Mi, 14-16h, SR 125, Ernst-Zermelo-Str. 1
Teacher: Guofang Wang
Assistant: Fengrui Yang
general:
Compulsory Elective in Mathematics (BSc21)
Lecture: Mo, Mi, 16-18h, , online
Teacher: Patrick Dondl
Assistant: Guofang Wang
Mi, 16-18h, HS II, Albertstr. 23b
Teacher: Guofang Wang
Assistant: Ksenia Fedosova
Undergraduate Seminar (2HfB21, BSc21, MEH21, MEB21)
Di, 16-18h, HS II, Albertstr. 23b
Teacher: Ernst Kuwert, Guofang Wang
Teacher: Guofang Wang
Assistant: Jan Metsch
general:
Compulsory Elective in Mathematics (BSc21)
Do Mi, 8-10h, SR 125, Ernst-Zermelo-Str. 1
27.07., 14:00-17:00
Teacher: Susanne Knies
Assistant: Guofang Wang
Mi, 16-18h, , online
Teacher: Guofang Wang
Assistant: Fengrui Yang
Supplementary Module in Mathematics (MEd18)
Compulsory Elective in Mathematics (BSc21)
Di, 16-18h, -, -
Teacher: Ernst Kuwert, Guofang Wang
Assistant: Fengrui Yang
Lecture: Di, Do, 12-14h, genauere Informationen zum Ablauf durch Dozenten nach Belegung in HISinOne, -
12.02., 10:00-13:00
Teacher: Guofang Wang
Assistant: Jan Metsch, Jan Metsch
general:
Mathematical Concentration (MEd18, MEH21)
Compulsory Elective in Mathematics (BSc21)
Lecture: Mo, 14-16h, -, -, Fr, 8-10h, -, -
Teacher: Susanne Knies
Assistant: Guofang Wang
Mi, 16-18h, HS II, Albertstr. 23b
Teacher: Guofang Wang
Supplementary Module in Mathematics (MEd18)
Compulsory Elective in Mathematics (BSc21)
Di, 16-18h, , online
Teacher: Ernst Kuwert, Guofang Wang
Lecture: Mo, Mi, 14-16h, HS II, Albertstr. 23b
07.08., 10:00-13:00
Teacher: Guofang Wang
Assistant: Azahara de la Torre Pedraza
general:
Compulsory Elective in Mathematics (BSc21)
Mathematical Concentration (MEd18, MEH21)
Pure Mathematics (MSc14)
Mi, 16-18h, SR 127, Ernst-Zermelo-Str. 1
Teacher: Guofang Wang
Assistant: Lei Liu
Supplementary Module in Mathematics (MEd18)
Compulsory Elective in Mathematics (BSc21)
Di, 16-18h, SR 404, Ernst-Zermelo-Str. 1
Teacher: Ernst Kuwert, Guofang Wang
Assistant: Lothar Schiemanowski
Teacher: Guofang Wang
Assistant: Lei Liu
Lecture: Mo, Mi, 14-16h, HS II, Albertstr. 23b
Teacher: Guofang Wang
Assistant: Friederike Dittberner, Lothar Schiemanowski
general:
Compulsory Elective in Mathematics (BSc21)
Teacher: Guofang Wang
Assistant: Thomas Körber
Compulsory Elective in Mathematics (BSc21)
Di, 16-18h, SR 404, Ernst-Zermelo-Str. 1
Teacher: Guofang Wang
Assistant: Friederike Dittberner
Mo, 16-18h, SR 125, Ernst-Zermelo-Str. 1
Teacher: Guofang Wang
Lecture: Di, Do, 12-14h, SR 404, Ernst-Zermelo-Str. 1
Teacher: Guofang Wang
Assistant: Thomas Körber
general:
Compulsory Elective in Mathematics (BSc21)
Mi, 16-18h, SR 403, Ernst-Zermelo-Str. 1
Teacher: Guofang Wang
Assistant: Azahara de la Torre Pedraza
Compulsory Elective in Mathematics (BSc21)
Supplementary Module in Mathematics (MEd18)
Di, 16-18h, SR 404, Ernst-Zermelo-Str. 1
Teacher: Ernst Kuwert, Guofang Wang
Assistant: Julian Scheuer
Mo, 16-18h, SR 318, Ernst-Zermelo-Str. 1
Teacher: Guofang Wang