A motivic Weil height machine for curves
Duration: 60 mins
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About this item
| Description: |
Ishai Dan-Cohen (Ben-Gurion University)
30/05/2022 Programme: KAH2 SemId: 36289 |
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| Created: | 2022-06-08 11:52 |
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| Collection: |
K-theory, algebraic cycles and motivic homotopy theory
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| Publisher: | Ishai Dan-Cohen |
| Copyright: | Isaac Newton Institute |
| Language: | eng (English) |
| Distribution: |
World
(downloadable)
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| Categories: |
iTunes - Science iTunes - Mathematics - Advanced Mathematics |
| Explicit content: | No |
| Aspect Ratio: | 16:9 |
| Screencast: | No |
| Bumper: | UCS Default |
| Trailer: | UCS Default |
| Abstract: | The rational points of a smooth curve over a number field map to the set of augmentations of the associated motivic algebra. An expectation, closely related to Kim's conjecture, is that the set of augmentations which are locally geometric is equal to the set of rational points. We provide evidence for this expectation by extending aspects of the "Weil height machine" to the set of locally geometric augmentations. This is ongoing joint work with L. Alexander Betts. |
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