Topology and geometry of manifolds

Master's seminars

Topology I 1000-113aTP1a
Topology II 1000-134TP2

Classroom
Remote learning

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.

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.

References will be given at the first meeting.

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.

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.