9–14 Jan 2022
Les Diablerets
Europe/Zurich timezone

Weronika Czerniawska (UNIGE) - Selective Integration on Adelic Spaces and the Riemann-Roch theorem

12 Jan 2022, 10:15
25m
Les Diablerets

Les Diablerets

Description

One cannot directly integrate over 2-dimensional geometric adeles associated to arithmetic and geometric surfaces, since they are are not locally compact spaces. Nevertheless it is still possible to conduct selective integration by choosing locally compact subquotient spaces. This leads to new integral representations of various geometric and arithmetic invariants and to new proofs of the arithmetic Riemann-Roch theorem in dimension two.

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