Topology and geometry of manifolds
General data
Course ID: | 1000-1D97TA |
Erasmus code / ISCED: |
11.164
|
Course title: | Topology and geometry of manifolds |
Name in Polish: | Topologia i geometria rozmaitości |
Organizational unit: | Faculty of Mathematics, Informatics, and Mechanics |
Course groups: |
Master seminars for Mathematics |
ECTS credit allocation (and other scores): |
6.00
|
Language: | English |
Type of course: | Master's seminars |
Prerequisites: | Topology I 1000-113aTP1a |
Mode: | Classroom |
Short description: |
Geometric and topological properties of manifolds and related spaces studied using a broad spectrum of mathematical disciplines, including category theory, algebra, algebraic geometry, algebraic topology, differential geometry and global analysis. |
Full description: |
Geometric and topological properties of manifolds and related spaces studied using a broad spectrum of mathematical disciplines, including category theory, algebra, algebraic geometry, algebraic topology, differential geometry and global analysis. Prerequisites: Topology I and II, Differential Geometry I. |
Bibliography: |
References will be given at the first meeting. |
Learning outcomes: |
1. They can present their own research results. 2. They can study and understand research publications on algebraic geometry and algebraic topology. 3. They can refer research papers and fragments of books on algebraic geometry and algebraic topology. 4. They can answer attandees' questions related to their talks. |
Assessment methods and assessment criteria: |
Credit is based on lectures preseted by the student. Depending on the number of participants, each student should lecture at least $lfloor m/p rfloor$ times, where m is the number of meetings in the year, and p is the number of participants. Each lecture should be well prepared oral presentation including some form of written content (for instance, on the blackboard, or on a shared online whiteboard, or as a slide show). Each lecture should last between 1h and 1h30min. In addition, students should briefly present their own research results, or describe their mathematical interests, for instrance, by presenting their BSc thesis, MSc thesis, or other research project. Depending on the number of participants, such brief presentation should take place once or twice a year and take between 10 to 20min. It is also expected that the students will: actively participate in the seminar meetings, ask questions, and follow the series of lectures. |
Classes in period "Academic year 2023/24" (in progress)
Time span: | 2023-10-01 - 2024-06-16 |
Navigate to timetable
MO TU W TH SEM-MGR
FR |
Type of class: |
Second cycle diploma seminar, 60 hours
|
|
Coordinators: | Maria Donten-Bury, Krzysztof Ziemiański | |
Group instructors: | Maria Donten-Bury, Krzysztof Ziemiański | |
Students list: | (inaccessible to you) | |
Examination: |
Course -
Pass/fail
Second cycle diploma seminar - Pass/fail |
Classes in period "Academic year 2024/25" (future)
Time span: | 2024-10-01 - 2025-06-08 |
Navigate to timetable
MO TU W TH FR |
Type of class: |
Second cycle diploma seminar, 60 hours
|
|
Coordinators: | Maria Donten-Bury, Krzysztof Ziemiański | |
Group instructors: | Maria Donten-Bury, Krzysztof Ziemiański | |
Students list: | (inaccessible to you) | |
Examination: |
Course -
Pass/fail
Second cycle diploma seminar - Pass/fail |
Copyright by University of Warsaw.