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SUMMARY:A motivic Weil height machine for curves - Ishai Dan-Cohen (Ben-Gu
 rion University)
DTSTART:20220530T110000Z
DTEND:20220530T120000Z
UID:TALK175235@talks.cam.ac.uk
DESCRIPTION:The rational points of a smooth curve over a number field map 
 to the set of augmentations of the associated motivic algebra. An expectat
 ion\, closely related to Kim's conjecture\, is that the set of augmentatio
 ns which are locally geometric is equal to the set of rational points. We 
 provide evidence for this expectation by extending aspects of the "Weil he
 ight machine" to the set of locally geometric augmentations. This is ongoi
 ng joint work with L. Alexander Betts.&nbsp\;
LOCATION:Seminar Room 2\, Newton Institute
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