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SUMMARY:Pierre Martinez (Université de Bretagne Occidentale)
DTSTART:20260219T140000Z
DTEND:20260219T150000Z
DTSTAMP:20260423T005700Z
UID:Geolis/179
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Geolis/179/"
 >Bigraded cohomology for real algebraic varieties and its arithmetic varia
 nt</a>\nby Pierre Martinez (Université de Bretagne Occidentale) as part o
 f Geometria em Lisboa (IST)\n\n\nAbstract\nI will first introduce the bigr
 aded cohomology for real algebraic varieties developed by Johannes Huisman
  and Dewi Gleuher. This is a cohomology theory that refines the equivarian
 t cohomology "à la Kahn-Krasnov" of the complex points of a real variety\
 , the latter often being preferred (by the algebraic geometers) in the coh
 omological study of real algebraic varieties. Since the construction of th
 is bigraded cohomology and its associated characteristic classes relies on
  the sheaf exponential morphism\, I will explain how to produce an arithme
 tic (or algebraic) variant of these cohomology groups\, whose main advanta
 ge is toeliminate topological or transcendental conditions. I will conclud
 e by comparing these two versions of bigraded cohomology.\n
LOCATION:https://researchseminars.org/talk/Geolis/179/
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