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(2017.9.27 16:30 N913)Kazuya Kato: Height functions for motives, Hodge analogues, and Nevanlinna analogues
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Update time: 2017-09-22
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Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:

Kazuya Kato, University of Chicago

Inviter:  
Title:
Height functions for motives, Hodge analogues, and Nevanlinna analogues
Time & Venue:
2017.9.27 16:30-17:30 N913
Abstract:
We compare height functions for
(1) points of an algebraic variety over a number field,
(2) motives over a number field,
(3) variations of Hodge structure with log degeneration on a projective smooth curve over the complex number field,
(4) horizontal maps from the complex plane C to a toroidal partial compactification of the period domain.
Usual Nevanlinna theory uses height functions for
(5) holomorphic maps f from C to a compactification of an agebraic variety V and considers how often the values of f lie outside V. Vojta compares (1) and (5). In (4), V is replaced by a period domain. The comparisons of (1)--(4) provide many new questions to study.
 

 

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