|Title: Rationally isomorphic hermitian forms and torsors of some non-reductive groups|
|Seminar: Algebra and Number Theory|
|Speaker: Eva Bayer-Fluckiger of Ecole Polytechnique Federale de Lausanne|
|Contact: Raman Parimala, email@example.com|
|Date: 2015-10-27 at 4:00PM|
This is a joint work with Uriya First. Let R be a semi-local Dedekind domain. Under certain assumptions, we show that two (not necessarily unimodular) hermitian forms over an R-algebra with involution that are rationally isometric are isometric over R. The result can be regarded as a first step towards a version of the Grothendieck-Serre conjecture for certain non-reductive group schemes over Spec R.
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