Similarity factors of hermitian forms over number fields
Speaker: Dr. Amit Kulshrestha (Louvain-la-Neuve)
Date: Wed 29th November 2006
Location: Mathematical Sciences Seminar Room
Undoubtedly, number fields exhibit many nice properties. Some of these properties can be expressed in terms of Galois cohomology or quadratic forms over fields (e.g. strong approximation property, torsion-free third power of the fundamental ideal of Witt ring, etc.). In this talk we discuss the group of similarity factors of hermitian forms over some special fields (number fields always being typical examples of those fields) and compare the group of similarities with "Hyp" group and "certain norm" groups. The results mentioned in the talk are a part of my PhD Thesis submitted last year.
(This talk is part of the K-Theory, Quadratic Forms and Number Theory series.)