Announcements

Hello everyone,

since there have been a few questions regarding the general format of your long talk, we give you a template here. In particular, we clarify what we meant in the introductory class by "presenting rigorous material". Your talk should contain three components.

* Rigorous material: We expect you to present one or more theoretical results in full detail, that is, including the mathematical proofs so that they are fully comprehensible for the audience. Ideally, these what you consider the most central results from this topic.  We expect this part to be the main component of your long talk. In particular, it should make up at least 50% of your presentation. (The book has also non-rigorous parts, where results are stated without proofs or where heuristics without mathematical analysis are presented. These parts do not qualify for this component.)

* Sketching further results: For most topics, it will not be possible to present all the theoretical results in full detail. To cope with this, you can also outline some theoretical material meaning that you just give some key ideas of the proof or a high-level overview. A good example is that when your section contains several central theorems, but obviously, the time would not permit you to present all of them. We recommend this component of your talk to be around 20% of your presentation but this is not a strict requirement.

* In the third component, which we recommend you to keep at roughly 30% in size (again this is not strict), you talk about non-mathematical aspects of your topic. General outlook, interesting applications, stating further results without proof etc. are good examples of what can go in this component.

Note that we list the components by rigorousness and not by the order they should appear in the talk. Rather these components can be intertwined and mixed in your talk in any order you find logical. It is also not required that you present all the results in the chapter or section assigned to you. It is fine if you drop some of the sections.

Best
Joachim and Kamyar