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SUMMARY:On Rationally Isomorphic Quadratic Forms
DTSTART:20150428T151500
DTEND:20150428T161500
DTSTAMP:20260407T025705Z
UID:d3a7ab26a5741a033d272643021ef0a56867add16edce40da796ce5c
CATEGORIES:Conferences - Seminars
DESCRIPTION:Uriya First -  University of British Columbia\nLet $R$ be a d
 iscrete valuation ring with fraction field $F$. Two algebraic objects (say
 \, quadratic forms) defined over $R$ are said to be rationally isomorphic 
 if they become isomorphic after extending scalars to $F$. In the case of u
 nimodular quadratic forms\, it is a classical result that rational isomorp
 hism is equivalent to isomorphism. This has been recently extended to "alm
 ost unimodular" forms by Auel\, Parimala and Suresh. We will present furth
 er generalizations to hermitian forms over (certain) involutary $R$-algebr
 as and quadratic spaces equipped with a group action ("G-forms"). The resu
 lts can be regarded as versions of the Grothendieck-Serre conjecture for c
 ertain non-reductive groups.\n(Joint work with Eva Bayer-Fluckiger.)
LOCATION:MA A3 31 http://plan.epfl.ch/?lang=en&room=MA+31
STATUS:CONFIRMED
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