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Madhav Vithal Nori is an Indian mathematician. In 1980 he has received the INSA Medal for Young Scientists.

Contents

• Career
• The fundamental group scheme
• See also
• References

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 ${\displaystyle \pi _{1}(X,x)}$ 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 ${\displaystyle \pi ^{N}(X,x)}$, where ${\displaystyle N}$ 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 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. ^{[5] [6]}

See also

• Nori motive (see https://ncatlab.org/nlab/show/Nori+motive)

References