105.721 AKWTH Seminar in Probability Theory
This course is in all assigned curricula part of the STEOP.
This course is in at least 1 assigned curriculum part of the STEOP.

2021S, SE, 2.0h, 3.0EC
Lecture TubeTUWEL

Properties

  • Semester hours: 2.0
  • Credits: 3.0
  • Type: SE Seminar
  • LectureTube course
  • Format: Distance Learning

Learning outcomes

After successful completion of the course, students are able to work by themselves with original literature in the field of probabiliy theory and to present the results and discuss them with a group of peers.

Subject of course

How long is the longest increasing subsequence in a uniformly random permutation? The solution to this easy-to-formulate probabilistic problem is highly non-trivial and will take us on a fascinating journey through some of the most interesting mathematics of the last decades. Thanks to the rich interdisciplinary nature of this topic, along the way we will also learn ideas and techniques from combinatorics (integer partitions and Robinson-Schensted algorithm), operator theory (Fredholm determinants), and random matrices (Tracy-Widom distribution), among others. The seminar course will be based on the book “The Surprising Mathematics of Longest Increasing Subsequences” by Dan Romik. 

 

Teaching methods

The lecturer will introduce the topic. The students will give the subsequent presentations after reading parts of the book.

Mode of examination

Immanent

Additional information

The schedule of the module is intended for the first week. After that, a more convenient schedule might be agreed directly with the students.

Please consider the plagiarism guidelines of TU Wien when writing your seminar paper: Directive concerning the handling of plagiarism (PDF)

Lecturers

Institute

Course dates

DayTimeDateLocationDescription
Wed09:30 - 11:0003.03.2021 - 23.06.2021 (LIVE)Termin
AKWTH Seminar in Probability Theory - Single appointments
DayDateTimeLocationDescription
Wed03.03.202109:30 - 11:00 Termin
Wed10.03.202109:30 - 11:00 Termin
Wed17.03.202109:30 - 11:00 Termin
Wed24.03.202109:30 - 11:00 Termin
Wed14.04.202109:30 - 11:00 Termin
Wed21.04.202109:30 - 11:00 Termin
Wed28.04.202109:30 - 11:00 Termin
Wed05.05.202109:30 - 11:00 Termin
Wed12.05.202109:30 - 11:00 Termin
Wed19.05.202109:30 - 11:00 Termin
Wed26.05.202109:30 - 11:00 Termin
Wed02.06.202109:30 - 11:00 Termin
Wed09.06.202109:30 - 11:00 Termin
Wed16.06.202109:30 - 11:00 Termin
Wed23.06.202109:30 - 11:00 Termin

Examination modalities

Students will be assessed based on their presentations and participation to the discussion.

Course registration

Not necessary

Curricula

Literature

No lecture notes are available.

Previous knowledge

The course will be accessible to any student with a basic knowledge of probability theory, analysis and linear algebra. Some previous knowledge in combinatorics will be also helpful but not necessary.

Language

English