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Seminar on Algebraic Geometry

Thursday, 1.12. at 10:15
Seminar room Altenbergerstrasse 50

Janka Pílniková
Splitting central simple algebras over the rational numbers.

I will present algorithms for finding an isomorphism between a given central simple algebra up to degree 4 over Q, and a full matrix algebra, provided it exists. In the talk I will focus on algebras of degree 4 and explain how can the proposed problem be reduced to solving a relative norm equation. Alternative approaches will also be mentioned.