https://indianpedia.org/index.php?action=history&feed=atom&title=Madhav_V._NoriMadhav V. Nori - Revision history2026-08-01T05:10:24ZRevision history for this page on the wikiMediaWiki 1.45.4https://indianpedia.org/index.php?title=Madhav_V._Nori&diff=514368&oldid=prevKrishna57edits at 22:12, 19 December 20252025-12-19T22:12:04Z<p></p>
<p><b>New page</b></p><div>{{Short description|Indian mathematician}}<br />
{{BLP sources|date=July 2022}}<br />
{{Use dmy dates|date=June 2023}}<br />
{{Use Indian English|date=June 2023}}<br />
{{Infobox scientist<br />
| name = Madhav Nori<br />
| image = <br />
| caption = <br />
| citizenship = Indian<br />
| workplaces = [[University of Chicago]]<br />
| birth_date = <br />
| alma_mater = [[University of Mumbai]]<br />
| thesis_title = The fundamental group-scheme<br />
| thesis_year = 1981<br />
| thesis_url = https://www.researchgate.net/publication/227215050_The_fundamental_group-scheme<br />
}}<br />
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'''Madhav Vithal Nori''' is an Indian mathematician. In 1980 he has received the [[Indian National Science Academy|INSA]] Medal for Young Scientists.<br />
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== Career ==<br />
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Nori was awarded his PhD in mathematics in 1981 from the [[University of Mumbai]].<ref>{{cite web |url=https://www.insaindia.res.in/detail.php?id=N88-1002 |website = Indian national science academy|title=Madhav Vithal Nori}}</ref> He studies within the fields of [[algebraic geometry]] and [[commutative algebra]]. His areas of interest in research focus on [[algebraic cycles]], [[K-theory]], [[Hodge theory]], [[Galois theory]], and their interactions. Nori received the [[Indian National Science Academy|INSA]] Medal for Young Scientists in 1980 and is an elected Fellow of the [[Indian Academy of Sciences]], [[Bangalore]].{{citation needed|date=June 2023}}<br />
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== The fundamental group scheme ==<br />
Under the direction of [[C. S. Seshadri|Conjeerveram S. Seshadri]] Nori proved the existence of the [[fundamental group scheme]] <math>\pi_1(X,x)</math> during his PhD work, using the theory of [[essentially finite vector bundle]]s that he defined.<ref name=":Nori">{{cite journal |url=http://www.numdam.org/item/?id=CM_1976__33_1_29_0| title=On the representations of the fundamental group | journal=Compositio Mathematica | year=1976 | volume=33 | issue=1 | pages=29–41 | last1=Nori | first1=Madhav V. }}</ref><ref name=":Nori 2">{{cite journal |doi=10.1007/BF02967978|title=The fundamental group-scheme |year=1982 |last1=Nori |first1=Madhav V. |journal=Proceedings Mathematical Sciences |volume=91 |issue=2 |pages=73–122 |s2cid=121156750 }}</ref> The fundamental group scheme is also known as Nori fundamental group scheme, taking the name by his creator, and often also denoted as <math>\pi^N(X,x)</math>, where <math>N</math> stands for Nori. There is a special family of [[vector bundle]]s called [[Nori-semistable]] vector bundles in Nori's honor as he had the first intuition for their existence and properties.<ref name=":Dos">{{cite journal|arxiv=1809.06755 |doi=10.2748/tmj.20200727 |title=On the fundamental group schemes of certain quotient varieties |year=2021 |last1=Biswas |first1=Indranil |last2=Hai |first2=Phùng Hô |last3=Dos Santos |first3=João Pedro |journal=Tohoku Mathematical Journal |volume=73 |issue=4 |s2cid=54217282|pages=565–595 }}</ref> His construction has been since then further generalized, for instance a proof of the existence of the fundamental group scheme for schemes defined over Dedekind schemes has been provided by [[Marco Antei]], Michel Emsalem and Carlo Gasbarri.<ref name=":Dedekind">{{cite journal |doi=10.46298/epiga.2020.volume4.5436|arxiv=1504.05082|title=Sur l'existence du schéma en groupes fondamental |year=2020 |last1=Antei |first1=Marco |last2=Emsalem |first2=Michel |last3=Gasbarri |first3=Carlo |journal=Épijournal de Géométrie Algébrique |s2cid=227029191 }}</ref><ref>{{cite journal |doi=10.1215/00127094-2020-0065|title=Erratum for "Heights of vector bundles and the fundamental group scheme of a curve" |year=2020 |last1=Antei |first1=Marco |last2=Emsalem |first2=Michel |last3=Gasbarri |first3=Carlo |journal=Duke Mathematical Journal |volume=169 |issue=16 |s2cid=225148904 }}</ref><br />
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== See also ==<br />
*[[Nori motive]] (see https://ncatlab.org/nlab/show/Nori+motive)<br />
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== References ==<br />
{{Reflist}}<br />
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{{DEFAULTSORT:Nori, Madhav V.}}<br />
[[Category:20th-century Indian mathematicians]]<br />
[[Category:21st-century Indian mathematicians]]<br />
[[Category:Living people]]<br />
[[Category:University of Mumbai alumni]]<br />
[[Category:Year of birth missing (living people)]]</div>Krishna57edits