An introduction to mixed Tate motives
Mixed Tate motives are central objects in the study of cohomology groups of algebraic varieties and their arithmetic invariants. They also play a crucial role in a wide variety of questions related to multiple zeta values and polylogarithms, algebraic K-theory, hyperbolic geometry, and particle phys...
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creator | Dupont, Clément |
description | Mixed Tate motives are central objects in the study of cohomology groups of
algebraic varieties and their arithmetic invariants. They also play a crucial
role in a wide variety of questions related to multiple zeta values and
polylogarithms, algebraic K-theory, hyperbolic geometry, and particle physics
among others. This survey article is an introduction to mixed Tate motives and
their many facets. It was written for the proceedings of the Summer School on
Motives and Arithmetic Groups held in Strasbourg in June 2022. |
doi_str_mv | 10.48550/arxiv.2404.03770 |
format | Article |
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algebraic varieties and their arithmetic invariants. They also play a crucial
role in a wide variety of questions related to multiple zeta values and
polylogarithms, algebraic K-theory, hyperbolic geometry, and particle physics
among others. This survey article is an introduction to mixed Tate motives and
their many facets. It was written for the proceedings of the Summer School on
Motives and Arithmetic Groups held in Strasbourg in June 2022.</description><identifier>DOI: 10.48550/arxiv.2404.03770</identifier><language>eng</language><subject>Mathematics - Algebraic Geometry ; Mathematics - K-Theory and Homology ; Mathematics - Number Theory</subject><creationdate>2024-04</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2404.03770$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2404.03770$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Dupont, Clément</creatorcontrib><title>An introduction to mixed Tate motives</title><description>Mixed Tate motives are central objects in the study of cohomology groups of
algebraic varieties and their arithmetic invariants. They also play a crucial
role in a wide variety of questions related to multiple zeta values and
polylogarithms, algebraic K-theory, hyperbolic geometry, and particle physics
among others. This survey article is an introduction to mixed Tate motives and
their many facets. It was written for the proceedings of the Summer School on
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algebraic varieties and their arithmetic invariants. They also play a crucial
role in a wide variety of questions related to multiple zeta values and
polylogarithms, algebraic K-theory, hyperbolic geometry, and particle physics
among others. This survey article is an introduction to mixed Tate motives and
their many facets. It was written for the proceedings of the Summer School on
Motives and Arithmetic Groups held in Strasbourg in June 2022.</abstract><doi>10.48550/arxiv.2404.03770</doi><oa>free_for_read</oa></addata></record> |
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subjects | Mathematics - Algebraic Geometry Mathematics - K-Theory and Homology Mathematics - Number Theory |
title | An introduction to mixed Tate motives |
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