Nori Motive

	Nori Motive In algebraic geometry, a Nori motive is a mixed motive constructed by Madhav Nori. Today, it is known that Nori's 1-motive coincides with that of Ayoub. The construction is based on Nori's basic lemma and his tannakian theorem.§ 4.4.4., Bruno Kahn, Algebraic K-Theory, Algebraic Cycles and Arithmetic Geometry in Handbook of K-Theory. See also * motivic sheaf References * * * A. Bruguières. On a tannakian result due to Nori, preprint of the Département de Mathématiques de l'Université Montpellier II. * Fakhruddin, Najmuddin. Notes of Nori's lectures on mixed motives. T.I.F.R., Mumbai, 2000. Further reading Reference for Nori motives* Nori motive in nLab * Caramello, Olivia. "Motivic toposes." arXiv preprint arXiv:1507.06271 (2015). * L. Barbieri-Viale, O. Caramello & L. Lafforgue: Syntactic categories for Nori motives, arXiv:1506.06113v1 ath.AG(2015). See alsAn example of incorrect behaviour of a senior mathematician towards a young mathematicianfor some background ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
	Mixed Motive (math) Mixed is the past tense of ''mix''. Mixed may refer to: * Mixed (United Kingdom ethnicity category), an ethnicity category that has been used by the United Kingdom's Office for National Statistics since the 2001 Census Music * ''Mixed'' (album), a compilation album of two avant-garde jazz sessions featuring performances by the Cecil Taylor Unit and the Roswell Rudd Sextet See also * Mix (other) * Mixed breed, an animal whose family are from different breeds or species * Mixed ethnicity The term multiracial people refers to people who are mixed with two or more races (human categorization), races and the term multi-ethnic people refers to people who are of more than one ethnicity, ethnicities. A variety of terms have been used ... , a person who is of multiracial descent * * {{disambiguation ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
	Madhav Nori Mādhava means Krishna. It may also refer to: a Sanskrit patronymic, "descendant of Madhu (a man of the Yadu tribe)". * especially of Krishna, see Madhava (Vishnu) * an icon of Krishna Madhava of Sangamagrama, fourteenth-century Indian mathematician Madhvacharya, philosopher in the Vaishnavism tradition Madhava Vidyaranya, Advaita saint and brother of Sayana Venkata Madhava, 10th to 12th century commentator of the Rigveda Madhavdeva, 16th-century proponent of Ekasarana dharma, neo-Vaishnavism of Assam relating to springtime; the first month of spring, see Chaitra Madhava or Madhava-kara, an Indian physician of the 7th or early 8th century Madhava, titular protagonist of the ancient Indian drama Mālatīmādhava by Bhavabhuti Madhava, a character in the 11th-century Indian story collection ''Shringara-manjari-katha'' See also * * Madhavan (other) Madhavi (other) Madhab (other) Madhavaram (other) * ''Madhav'' (film), 20 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
	Tannakian Theorem In mathematics, a Tannakian category is a particular kind of monoidal category ''C'', equipped with some extra structure relative to a given field ''K''. The role of such categories ''C'' is to generalise the category of linear representations of an algebraic group ''G'' defined over ''K''. A number of major applications of the theory have been made, or might be made in pursuit of some of the central conjectures of contemporary algebraic geometry and number theory. The name is taken from Tadao Tannaka and Tannaka–Krein duality, a theory about compact groups ''G'' and their representation theory. The theory was developed first in the school of Alexander Grothendieck. It was later reconsidered by Pierre Deligne, and some simplifications made. The pattern of the theory is that of Grothendieck's Galois theory, which is a theory about finite permutation representations of groups ''G'' which are profinite groups. The gist of the theory is that the fiber functor Φ of the Galois theory ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
	Motivic Sheaf In mathematics, a motivic sheaf is a motivic-cohomology counterpart of an l-adic sheaf. It was first introduced by Morel and Voevodsky and was later developed by J. Ayoub,Joseph Ayoub, A guide to (étale) motivic sheaves, Proceedings of the International Congress of Mathematicians—Seoul 2014. Vol. II, Kyung Moon Sa, Seoul, 2014, pp. 1101–1124 Deniz-Charles Cisinski, F. Déglise, F. Morel, and others. For Nori motive In algebraic geometry, a Nori motive is a mixed motive constructed by Madhav Nori. Today, it is known that Nori's 1-motive coincides with that of Ayoub. The construction is based on Nori's basic lemma and his tannakian theorem.§ 4.4.4., Bruno K ...s, the first construction is due to D. Arapura. In practice, a motivic sheaf is sometimes used instead of an l-adic sheaf because the former’s cycle-theoretic nature may be important. In the language of Ayoub,§ 1.4.1. of References Further reading * Adeel KhanMotivic sheaves on algebraic stacks* https://ma ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
	Nori+motive In algebraic geometry, a Nori motive is a mixed motive constructed by Madhav Nori. Today, it is known that Nori's 1-motive coincides with that of Ayoub. The construction is based on Nori's basic lemma and his tannakian theorem.§ 4.4.4., Bruno Kahn, Algebraic K-Theory, Algebraic Cycles and Arithmetic Geometry in Handbook of K-Theory. See also * motivic sheaf References * * * A. Bruguières. On a tannakian result due to Nori, preprint of the Département de Mathématiques de l'Université Montpellier II. * Fakhruddin, Najmuddin. Notes of Nori's lectures on mixed motives. T.I.F.R., Mumbai, 2000. Further reading Reference for Nori motives* Nori motive in nLab * Caramello, Olivia. "Motivic toposes." arXiv preprint arXiv:1507.06271 (2015). * L. Barbieri-Viale, O. Caramello & L. Lafforgue: Syntactic categories for Nori motives, arXiv:1506.06113v1 ath.AG(2015). See alsAn example of incorrect behaviour of a senior mathematician towards a young mathematicianfor some background ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]