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Iskovskikh Seminar
March 17, 2011 18:00, Moscow, Steklov Mathematical Institute, room 540
 


Unramified cohomology and rationality problems (following E. Peyre)

A. I. Efimov

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow

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Abstract: In this talk we will discuss the question of stable rationality of the quotient $W/G$, where $W$ is a faithful complex representation of a finite group $G$. The main goal is to construct an example of representation for which the 3-rd unramified cohomology group of the field $\mathbb{C}(W)^G$ is not trivial (hence, the quotient is not stably rational), but the 2-nd group (unramified Brauer group) is trivial.

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