Universität Wien
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250077 VO Optimal Transport (2022S)

5.00 ECTS (3.00 SWS), SPL 25 - Mathematik
Moodle

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Details

Language: English

Examination dates

Lecturers

Classes (iCal) - next class is marked with N

  • Tuesday 01.03. 15:00 - 16:30 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 07.03. 17:45 - 18:30 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 08.03. 15:00 - 16:30 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 14.03. 17:45 - 18:30 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 15.03. 15:00 - 16:30 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 21.03. 17:45 - 18:30 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 22.03. 15:00 - 16:30 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 28.03. 17:45 - 18:30 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 29.03. 15:00 - 16:30 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 04.04. 17:45 - 18:30 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 05.04. 15:00 - 16:30 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 25.04. 17:45 - 18:30 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 26.04. 15:00 - 16:30 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 02.05. 17:45 - 18:30 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 03.05. 15:00 - 16:30 Hörsaal 15 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 09.05. 17:45 - 18:30 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 10.05. 15:00 - 16:30 Hörsaal 17 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 16.05. 17:45 - 18:30 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 17.05. 15:00 - 16:30 Hörsaal 17 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 23.05. 17:45 - 18:30 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 24.05. 15:00 - 16:30 Hörsaal 17 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 30.05. 17:45 - 18:30 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 31.05. 15:00 - 16:30 Hörsaal 17 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 13.06. 17:45 - 18:30 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 14.06. 15:00 - 16:30 Hörsaal 17 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 20.06. 17:45 - 18:30 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 21.06. 15:00 - 16:30 Hörsaal 17 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 27.06. 17:45 - 18:30 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 28.06. 15:00 - 16:30 Hörsaal 17 Oskar-Morgenstern-Platz 1 2.Stock

Information

Aims, contents and method of the course

The aim of the lecture is to give an introduction to optimal transport. We develop the required foundations of measure theory and analysis on (polish) metric spaces. Then we show existence and stability of optimal couplings, the characterization via cyclical monotonicity and the equivalent formulation of the optimal transport problem via Kantorovich duality.

Assessment and permitted materials

Oral exam.

Minimum requirements and assessment criteria

Working knowledge of the course material.

Examination topics

Content of the lecture.

Reading list

Lecture notes.
Cedric Villani. Optimal transport, volume 338 of Grundlehren der Mathematischen Wissenschaften. Springer-Verlag, Berlin, 2009

Association in the course directory

MANV

Last modified: Tu 08.11.2022 11:50