MATH Seminar

Title: Degree 3 cohomological invariants and quadratic splitting of hermitian forms
Seminar: Algebra
Speaker: Jean-Pierre Tignol of Université Catholique de Louvain
Contact: David Zureick-Brown, dzb@mathcs.emory.edu
Date: 2013-11-26 at 4:00PM
Venue: W306
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Abstract:
Using variations on the Rost invariant of Spin groups, we define an invariant with values in $H^3(F,\mu_2)$ for hermitian forms with vanishing lower-degree invariants, and discuss the relation between this invariant and the existence of quadratic extensions of the base field that make the hermitian form split hyperbolic. (Joint work in progress with Anne Qu\'eguiner-Mathieu)

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