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Jens Hornbostel

Real topological Hochschild homology of schemes
Monday, 18 September, 2023 - 15:30
Résumé : 

In recent years, several people studied real topological Hochschild homology THR as a C_2-equivariant refinement of THH. This is in analogy with real or hermitian K-theory refining usual complex or algebraic K-theory. We recall the definitions of THH and THR, as well as some basic facts and
computations. Then we discuss more recent results like base change and descent for the Z/2-isovariant étale topology. We also provide computations of THR for the projective line (with and without
involution) and higher dimensional projective spaces. This is joint work with Doosung Park.

Institution de l'orateur : 
Bergische Universität Wuppertal
Thème de recherche : 
Algèbre et géométries
Salle : 
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