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. He studies within the fields of
algebraic geometry
Algebraic geometry is a branch of mathematics, classically studying zeros of multivariate polynomials. Modern algebraic geometry is based on the use of abstract algebraic techniques, mainly from commutative algebra, for solving geometrical ...
and
commutative algebra. His areas of interest in research focus on
algebraic cycles,
K-theory,
Hodge theory
In mathematics, Hodge theory, named after W. V. D. Hodge, is a method for studying the cohomology groups of a smooth manifold ''M'' using partial differential equations. The key observation is that, given a Riemannian metric on ''M'', every cohom ...
,
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.
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 bundle In mathematics, an essentially finite vector bundle is a particular type of vector bundle defined by Madhav V. Nori, as the main tool in the construction of the fundamental group scheme. Even if the definition is not intuitive there is a nice char ...
s that he defined.
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
In mathematics, a Nori semistable vector bundle is a particular type of vector bundle whose first definition has been first implicitly suggested by Madhav V. Nori, as one of the main ingredients for the construction of the fundamental group scheme ...
vector bundles in Nori's honor as he had the first intuition for their existence and properties.
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
Marco may refer to:
People
* Marco (given name), people with the given name Marco
* Marco (actor) (born 1977), South Korean model and actor
* Georg Marco (1863–1923), Romanian chess player of German origin
* Tomás Marco (born 1942), Spanish co ...
, Michel Emsalem and Carlo Gasbarri.
See also
*
Nori motive (see https://ncatlab.org/nlab/show/Nori+motive)
References
{{DEFAULTSORT:Nori, Madhav V.
20th-century Indian mathematicians
21st-century Indian mathematicians
Living people
University of Mumbai alumni
Year of birth missing (living people)