Oct 14 – 18, 2019
University of Lille
Europe/Paris timezone

The toric regulator

Oct 14, 2019, 11:00 AM
Salle de réunion (University of Lille)

Salle de réunion

University of Lille

Cité Scientifique – Bâtiment M2 59655 Villeneuve d'Ascq Cedex France


Amnon Besser (Ben-Gurion University)


I will present a map - The toric regulator, from motivic cohomology of algebraic varieties over p-adic fileds with "totally degenerate reduction", e.g., $p$-adically uniformized varieties, to "toric intermediate Jacobians" which are quotients of algebraic toruses by a discrete subgroup. The toric regulator recovers part of the $\ell$-adic etale regulator map for every prime $\ell$, and its logarithm recovers part of the log-syntomic regulator. I expect the toric regulator to be the home of "refined" Beilinson conjectures and I will present some evidence for this claim. This is joint work with Wayne Raskind from Wayne State university.

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