PIMS/UBC Distinguished Colloquium: Eva Bayer (EPFL Lausanne)
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Abstract:
The study of quadratic forms is a classical and important topic of algebra and number theory. A natural example is the trace form of a finite Galois extension. This form has the additional property of being invariant under the Galois group,leading to the notion of "self-dual nornal basis", introduced by Lenstra. The aim of this talk is to give a survey of this area, and to present some recent joint results with Parimala and Serre.
Additional Information
Eva Bayer, EPFL Lausanne
Eva Bayer is a mathematician at École Polytechnique Fédérale
de Lausanne. She has worked on several topics in topology, algebra and number
theory such as: the theory of knots, lattices, quadratic forms, and Galois
cohomology. Along with Raman Parimala, she proved Serre’s conjecture II
regarding the Galois cohomology of a simply-connected semisimple algebraic
group when such a group is of classical type.