Madhav V. Nori
Madhav Nori | |
---|---|
Nationality | Indian |
Alma mater | University of Mumbai |
Scientific career | |
Institutions | University of Chicago |
Thesis | The fundamental group-scheme (1981) |
Madhav Vithal Nori is an Indian mathematician. In 1980 he has received the INSA Medal for Young Scientists.
Career
Nori was awarded his PhD in mathematics in 1981 from the University of Mumbai.[1] 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 INSA Medal for Young Scientists in 1980 and is an elected Fellow of the Indian Academy of Sciences, Bangalore.[citation needed]
The fundamental group scheme
Under the direction of Conjeerveram S. Seshadri Nori proved the existence of the fundamental group scheme during his PhD work, using the theory of essentially finite vector bundles that he defined.[2][3] The fundamental group scheme is also known as Nori fundamental group scheme, taking the name by his creator, and often also denoted as , where stands for Nori. There is a special family of vector bundles called Nori-semistable vector bundles in Nori's honor as he had the first intuition for their existence and properties.[4] His construction has been since then further generalized, for istance 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.[5][6]
See also
- Nori motive (see https://ncatlab.org/nlab/show/Nori+motive)
References
- ^ "Madhav Vithal Nori". Indian national science academy.
- ^ Nori, Madhav V. (1976). "On the representations of the fundamental group". Compositio Mathematica. 33 (1): 29–41.
- ^ Nori, Madhav V. (1982). "The fundamental group-scheme". Proceedings Mathematical Sciences. 91 (2): 73–122. doi:10.1007/BF02967978. S2CID 121156750.
- ^ Biswas, Indranil; Hai, Phùng Hô; Dos Santos, João Pedro (2021). "On the fundamental group schemes of certain quotient varieties". Tohoku Mathematical Journal. 73 (4): 565–595. arXiv:1809.06755. doi:10.2748/tmj.20200727. S2CID 54217282.
- ^ Antei, Marco; Emsalem, Michel; Gasbarri, Carlo (2020). "Sur l'existence du schéma en groupes fondamental". Épijournal de Géométrie Algébrique. arXiv:1504.05082. doi:10.46298/epiga.2020.volume4.5436. S2CID 227029191.
- ^ Antei, Marco; Emsalem, Michel; Gasbarri, Carlo (2020). "Erratum for "Heights of vector bundles and the fundamental group scheme of a curve"". Duke Mathematical Journal. 169 (16). doi:10.1215/00127094-2020-0065. S2CID 225148904.