The new term has begun! And with it a new academic year in Freiburg.

In the past I used to put extensive notes online, for any talks I gave (mostly in local seminars at my university). I have changed this to posting blog posts instead, but sometimes I also have some teXed talk notes. The quality of the teXed notes is usually bad, as I didn't intend to publish them. This is a compilation of talk notes from the last academic year.

Goal for the next year: focus :-)

• Seminar on Systolic Geometry: Aspherical Manifolds and Essential Manifolds.
• Seminar on Perverse Sheaves: Introduction to 6 functor formalism. I also blogged some stuff even more elementary about 4 functors before.
• Seminar on Geometric Langlands: From Langlands for Function Fields to Geometric Langlands; I have blogged an introduction and also some of the talk on Geometric Langlands here.
• Seminar on Cobordism: Bordism, Cobordism and Spectra (there's a blog post). There are also slides on the cobordism spectrum, though I remember it was definitely on a blackboard.
• Seminar on Mapping Class Groups: Spectra and Infinite Loop Spaces (these notes are actually not that bad).
• Seminar on Galois Representations: Grothendieck's Monodromy Theorem. I have written a small note on supernatural numbers, which appear in Tate's proof. There are also (bad, uncorrected) talk notes on Weil-Deligne representations in german.
• Seminar on Multiple Zeta Values: Upper bounds on periods (link goes to full lecture notes, which are quite good now).
• Student's conference of the german math society: 20 minutes on A¹-fundamental groups of isotropic groups.