Undergraduate seminar: One-Dimensional Maximum Principle
Lecturer: Guofang Wang
Assistant: Xuwen Zhang
Language: in German
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
Analysis I and II
Undergraduate Seminar
Lecturer: Susanne Knies
Assistant: Vivien Vogelmann
Language: in German
Seminar: Do, 14-16h, SR 404, Ernst-Zermelo-Str. 1
Preregistration: until 30.01. to Vivien Vogelmann
Preliminary Meeting 04.02., 12:00, SR 318, Ernst-Zermelo-Str. 1
Preparation meetings for talks: Dates by arrangement
The seminar deals with statements that are known from finite-dimensional vector spaces but no longer apply in the infinite-dimensional case. What are the consequences of this? What applies instead? With which additional conditions can one possibly save oneself?
For more detailed information see the webpage!
Analysis I, II and Linear Algebra I, II
Undergraduate Seminar
Undergraduate seminar: Lattice Theory
Lecturer: Markus Junker
Language: in German
Seminar: Mo, 14-16h, SR 127, Ernst-Zermelo-Str. 1
Preregistration: until 31.01. to Markus Junker
Preliminary Meeting 07.02., 11:15, SR 318, Ernst-Zermelo-Str. 1
Preparation meetings for talks: Dates by arrangement
Lattices are similarly basic mathematical structures as orderings or groups. A lattice is a set with two associative and commutative operations \(\cap\) and \(\cup\) that satisfy the absorption laws \(a \cap (a \cup b) = a\) and \(a \cup (a \cap b) = a\). For example, the subsets of a fixed set form a lattice; or the sub vector spaces of a fixed vector space if \(\cup\) is interpreted as the sub vector space generated by the set-theoretic union . Lattices with special additional properties are, for example, Boolean algebras,
In this seminar, we will look at what can be said about arbitrary lattices and then at some results about more specialised lattices.
Linear Algebra I and II, Analysis I
Undergraduate Seminar
Undergraduate seminar: Counter-Examples in Probability Theory
Lecturer: David Criens
Assistant: Andreas Demleitner
It is not only theorems, proofs or illustrative examples, but also counterexamples that show the depth and beauty of a theory. Natural questions are: (a) are the requirements of a theorem necessary and not only sufficient; (b) are the requirements sufficient and not just necessary; (c) is an implication an equivalence, i.e. does the implication in the other direction also hold.
In this undergraduate seminar we deal with counter-examples from probability theory. Possible topics range from classic questions such as measurability, independence of random variables, expectations or conditional probabilities, to more advanced topics such as limit value rates, martingals or Markov processes. A suitable topic can be found for any interested student.
Elementary Probability Theory I (topics from probability theory I–III can also be assigned)
Undergraduate Seminar