Topology and geometry of manifolds 1000-1D97TA
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.
Type of course
Mode
Classroom
Prerequisites
Course coordinators
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 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.
Bibliography
References will be given at the first meeting.
Additional information
Information on level of this course, year of study and semester when the course unit is delivered, types and amount of class hours - can be found in course structure diagrams of apropriate study programmes. This course is related to the following study programmes:
Additional information (registration calendar, class conductors, localization and schedules of classes), might be available in the USOSweb system: