

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 3rd unramified cohomology group of the field $\mathbb{C}(W)^G$ is not trivial (hence, the quotient is not stably rational), but the 2nd group (unramified Brauer group) is trivial.

