100, rue des maths 38610 Gières / GPS : 45.193055, 5.772076 / Directeur : Louis Funar

Christopher Lazda

Comparisons between overconvergent isocrystals and arithmetic D-modules
Jeudi, 23 Mars, 2023 - 10:30
Résumé : 
According to a philosophy of Grothendieck, every good cohomology theory should have a six functor formalism. Arithmetic D-modules were introduced by Berthelot to provide the theory of rigid cohomology with exactly such a formalism. However, it is not clear that cohomology groups computed via the theory of arithmetic D-modules coincide with the analogous rigid cohomology groups. In this talk I will describe an 'overconvergent Riemann-Hilbert correspondence' that can be used to settle this question


Institution de l'orateur : 
University of Exeter
Thème de recherche : 
Théorie des nombres
Salle : 
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