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...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
1. Verfasser: Dupont, Clément
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext bestellen
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page
container_issue
container_start_page
container_title
container_volume
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
fullrecord <record><control><sourceid>arxiv_GOX</sourceid><recordid>TN_cdi_arxiv_primary_2404_03770</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2404_03770</sourcerecordid><originalsourceid>FETCH-LOGICAL-a670-c8073b76250e3f562e257cd836000bd9dde8925d55e454d0d6af4f930529633f3</originalsourceid><addsrcrecordid>eNotzj2rwjAUgOEsDhf1B9zJLI6tx5ycpB1F1HtBcOleYk8CAdtKjaL_XvyY3u3lEeJ3CbkuiGDhhnu85UqDzgGthR8xX3Uydmno-dqk2Hcy9bKNd8-ycsnLtk_x5i8TMQrudPHTb8ei2m6q9V-2P-z-16t95oyFrCnA4tEaReAxkFFekW24QAMARy6ZfVEqYiKvSTOwcUGHEoFUaRADjsXss3076_MQWzc86pe3fnvxCcU1OO4</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>An introduction to mixed Tate motives</title><source>arXiv.org</source><creator>Dupont, Clément</creator><creatorcontrib>Dupont, Clément</creatorcontrib><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.</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 Motives and Arithmetic Groups held in Strasbourg in June 2022.</description><subject>Mathematics - Algebraic Geometry</subject><subject>Mathematics - K-Theory and Homology</subject><subject>Mathematics - Number Theory</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotzj2rwjAUgOEsDhf1B9zJLI6tx5ycpB1F1HtBcOleYk8CAdtKjaL_XvyY3u3lEeJ3CbkuiGDhhnu85UqDzgGthR8xX3Uydmno-dqk2Hcy9bKNd8-ycsnLtk_x5i8TMQrudPHTb8ei2m6q9V-2P-z-16t95oyFrCnA4tEaReAxkFFekW24QAMARy6ZfVEqYiKvSTOwcUGHEoFUaRADjsXss3076_MQWzc86pe3fnvxCcU1OO4</recordid><startdate>20240404</startdate><enddate>20240404</enddate><creator>Dupont, Clément</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20240404</creationdate><title>An introduction to mixed Tate motives</title><author>Dupont, Clément</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a670-c8073b76250e3f562e257cd836000bd9dde8925d55e454d0d6af4f930529633f3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><topic>Mathematics - Algebraic Geometry</topic><topic>Mathematics - K-Theory and Homology</topic><topic>Mathematics - Number Theory</topic><toplevel>online_resources</toplevel><creatorcontrib>Dupont, Clément</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Dupont, Clément</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>An introduction to mixed Tate motives</atitle><date>2024-04-04</date><risdate>2024</risdate><abstract>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.</abstract><doi>10.48550/arxiv.2404.03770</doi><oa>free_for_read</oa></addata></record>
fulltext fulltext_linktorsrc
identifier DOI: 10.48550/arxiv.2404.03770
ispartof
issn
language eng
recordid cdi_arxiv_primary_2404_03770
source arXiv.org
subjects Mathematics - Algebraic Geometry
Mathematics - K-Theory and Homology
Mathematics - Number Theory
title An introduction to mixed Tate motives
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-08T21%3A14%3A57IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-arxiv_GOX&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=An%20introduction%20to%20mixed%20Tate%20motives&rft.au=Dupont,%20Cl%C3%A9ment&rft.date=2024-04-04&rft_id=info:doi/10.48550/arxiv.2404.03770&rft_dat=%3Carxiv_GOX%3E2404_03770%3C/arxiv_GOX%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true