Universität Wien
Warning! The directory is not yet complete and will be amended until the beginning of the term.

250076 VO Algebra versus Analysis (2021S)

3.00 ECTS (2.00 SWS), SPL 25 - Mathematik

Registration/Deregistration

Note: The time of your registration within the registration period has no effect on the allocation of places (no first come, first served).
Register/Deregister for this course

Details

Language: English

Examination dates

Lecturers

Classes (iCal) - next class is marked with N

  • Tuesday 02.03. 16:45 - 18:15 Digital
    Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 09.03. 16:45 - 18:15 Digital
    Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 16.03. 16:45 - 18:15 Digital
    Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 23.03. 16:45 - 18:15 Digital
    Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 13.04. 16:45 - 18:15 Digital
    Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 20.04. 16:45 - 18:15 Digital
    Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 27.04. 16:45 - 18:15 Digital
    Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 04.05. 16:45 - 18:15 Digital
    Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 11.05. 16:45 - 18:15 Digital
    Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 18.05. 16:45 - 18:15 Digital
    Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 01.06. 16:45 - 18:15 Digital
    Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 08.06. 16:45 - 18:15 Digital
    Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 15.06. 16:45 - 18:15 Digital
    Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 22.06. 16:45 - 18:15 Digital
    Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 29.06. 16:45 - 18:15 Digital
    Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock

Information

Aims, contents and method of the course

This Master's course aims at applying algebraic methods to (complex) analytic problems and analytic methods to algebraic problems. As such it will pick up famous problems and theories and look at them from both perspectives. Prospective topics are:

* The algebraic closure of the field C(x) of complex rational functions via Puiseux series

* Algebraic solutions of ordinary complex differential equations with polynomial coefficients and Fuchsian equations

* Differential Galois theory and the algebraic closure of differential fields

* Integrality of solutions of linear recurrences with polynomial coefficients

* Hypergeometric equations and hypergeometric series

* Differential equations and modular forms

* Bernstein-Sato polynomials and D-modules

* Algebraic power series define holomorphic functions

* The Riemann extension theorem and the integral closure of rings of holomorphic functions

The course shall serve in particular as an introduction to Master's thesis topics.

Assessment and permitted materials

Oral exam.

Minimum requirements and assessment criteria

Examination topics

Reading list

Association in the course directory

MALV; MANV;

Last modified: Fr 12.05.2023 00:21