Workshop on Recent Developments in Hodge Theory and O-minimality
Definable Norms on Riemann-Zariski Spaces
Abstract: I will talk about a joint work with Antoine Sedillot. We study sup-norms of sections of metrized line bundles for families of arithmetic varieties. Using Riemann-Zariski spaces we obtain formulas that imply new definability results in the context of globally valued fields. I will outline our setup and motivations.
Date & Time
March 12, 2026 | 2:30pm – 3:30pm
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03/12/2026 14:30
03/12/2026 15:30
Workshop on Recent Developments in Hodge Theory and O-minimality
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Topic: Definable Norms on Riemann-Zariski Spaces
Speakers: Michal Szachniewicz, Institute for Advanced Study
More: https://www.ias.edu/events/workshop-recent-developments-hodge-theory-and-o-minimality-13
Abstract: I will talk about a joint work with Antoine Sedillot. We
study sup-norms of sections of metrized line bundles for families of
arithmetic varieties. Using Riemann-Zariski spaces we obtain formulas
that imply new definability results in the context of globally valued
fields. I will outline our setup and motivations.
Simonyi Hall 101
a7a99c3d46944b65a08073518d638c23
Location
Simonyi Hall 101Speakers
Michal Szachniewicz, Institute for Advanced Study