Notes

Notes from my talks can be found under talks. Other notes:

• Simplicial complexes and simplicial homology 

A quick introduction to simplicial complexes (both geometric and abstract) up to the definition of simplicial homology. No prior knowledge is assumed.

• Talbot 2023 talk 15: Vanishing results for the η-inverted Sphere 

This is Viktor's talk from Talbot 2023: Computations in motivic stable homotopy theory, which I teXed and complemented. It is rather deep into the computation of the first motivic stable stem of the sphere and thus requires quite some prerequisites from stable motivic homotopy theory. The main result presented here is that the first and second motivic stable stems of the η-inverted sphere vanish.

• The Witt group of the rational numbers

This note from a talk I once gave in a student seminar explains the computation of the Witt group of quadratic forms over the rational numbers by Milnor and Tate (as for example also found in Lam's book "Introduction to quadratic forms over fields"). The basic theory of quadratic forms and Witt groups/rings is assumed. Further-more assumes that the reader is comfortable enough with discrete valuations and surrounding objects like uniformizers, residue fields etc.

• Where to find Milnor-Witt K-theory

Is a very short note explaining why you (the reader) might be interested in Milnor-Witt K-theory. No prior knowledge is assumed. Just lists various appearances with short background stories without even defining what Milnor-Witt K-theory is. Does hence not get into any technicalities.