LVA's von Andreas Kriegl im Wintersemester 2017

2018.01.11 On special request I added diagrams to the script which illustrate the arguments in the proof of (7.30).
2017.12.14 I added the animation for the Hopf fibration and for cutting a torus with a plane along two intersecting circles.
2017.11.13 A counter-example concerning representative subsets of group actions has been put online. See also a nice Animation written by Tobias Beran.
2017.10.31 For the next PS the exercises 1.16 - 2.2 are planned.
2017.10.25 For the next PS the exercises 1.13 - 1.17 are planned.
2017.10.10 For the next PS the exercises 1.5 - 1.9 are planned.
2017.10.05 I will frequently update a list of what happend so far in the lecture course.
2017.10.03 For the next PS the exercises 1.1, 1.2, 1.4, 1.5, and 1.6 are planned.

LV-Nr: 250155
Titel: Algebraic Topology
LV-Typ: VO
ECTS: 6
Starts at 2017.10.02
Dates: Mo.-Do. 10:00-10:45, SR 10
Content: In der algebraischen Topologie geht es darum, mittels algebraischer Methoden topologische Räume zu analysieren und insbesonders die Frage nach der Isomorphie solcher Räumen aufzugreifen.
In algebraic topology one analyzes topological spaces with algebraic methods and takes up the question of isomorphy of such spaces.
Assessment and permitted materials: Oral exam.
Reading list: I will follow to a huge extend [R. Stöcker, H. Zieschang: Algebraische Topologie, Teubner (1988) Stuttgart]. An english script for this course is 2017WS.pdf

LV-Nr: 250153
Titel: PS Algebraic Topology
LV-Typ: PS
ECTS: 2
Starts at 2017.10.03
Dates: Di. 11:00-11:45, SR 10
Content: Begleitendes Proseminar zur VO.
Introductory seminar associated to the lecture course
Assessment and permitted materials: Short talks.
Minimum requirements and assessment criteria: 50 percent solved
Literatur: The assignments 2017WS-PS.pdf will be available on this link at the beginning of the semester.

LV-Nr: 250093
Titel: Seminar (Analysis)
LV-Typ: SE
ECTS: 4
Erstmals am 2017.10.05
Termine: Do. 13:45-15:15, SR 10
Inhalt: Dies ist unser gemeinsames Forschungsseminar welches sich zur Zeit primär mit Funktionen deren Ableitung Wachstumsbedingungen erfüllen beschäftigt.
Ziele: Auseinandersetzung mit aktueller Originalliteratur.
Aims, contents and method of the course: This is our joint research seminar. Currently it centers around functions whose derivatives satisfy certain growth conditions.
Assessment and permitted materials: Talks and participation in the discussion
Minimum requirements and assessment criteria: Active participation