Vikram Bhagvandas Mehta

	Vikram Bhagvandas Mehta Vikram Bhagvandas Mehta (August 15, 1946 – June 4, 2014) was an Indian mathematician who worked on algebraic geometry and vector bundles. Together with Annamalai Ramanathan he introduced the notion of Frobenius split varieties, which led to the solution of several problems about Schubert varieties. He is also known to have worked, from the 2000s onward, on the fundamental group scheme. It was precisely in the year 2002 when he and Subramanian published a proof of a conjecture by Madhav V. NoriM. V. Nori ''On the Representations of the Fundamental Group'', Compositio Mathematica, Vol. 33, Fasc. 1, (1976), p. 29-42 that brought back into the limelight the theory of an object that until then had met with little success.V. B. Mehta, S. Subramanian ''On the Fundamental Group Scheme'', Inventiones mathematicae, 148, 143-150 (2002) Awards The Council of Scientific and Industrial Research awarded him the Shanti Swarup Bhatnagar Prize for Science and Technology The Shanti S ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
	Annamalai Ramanathan Annamalai Ramanathan (29 August 1946 – 12 March 1993) was an Indian mathematician in the field of algebraic geometry, who introduced the notion of Frobenius splitting of algebraic varieties jointly with Vikram Bhagvandas Mehta in . The notion of Frobenius splitting led to the solution of many classical problems, in particular a proof of the Demazure character formula and results on the equations defining Schubert varieties in general flag manifolds. Research career Ramanathan got his B.Sc in Mathematics at Ramakrishna Mission Vivekananda College, and was recruited to attend TIFR, where he got his Ph.D. in Mathematics in 1976. His thesis on moduli for principal bundles was published in 1996 in two papers in Proc. Indian Acad. Sci. three years after his death. Ramanathan, was a Professor of Mathematics at the TIFR in Bombay, India. He has also been employed at University of Bonn, Johns Hopkins University and University of Illinois at Urbana-Champaign. Ramanathan made significa ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
	Frobenius Split In mathematics, a Frobenius splitting, introduced by , is a splitting of the injective morphism O''X''→FO''X'' from a structure sheaf O''X'' of a characteristic ''p'' > 0 variety ''X'' to its image FO''X'' under the Frobenius endomorphism F. give a detailed discussion of Frobenius splittings. A fundamental property of Frobenius-split projective schemes ''X'' is that the higher cohomology ''H''''i''(''X'',''L'') (''i'' > 0) of ample line bundle In mathematics, a distinctive feature of algebraic geometry is that some line bundles on a projective variety can be considered "positive", while others are "negative" (or a mixture of the two). The most important notion of positivity is that of an ...s ''L'' vanishes. References * External linksConferenceon Frobenius splitting in algebraic geometry, commutative algebra, and representation theory at Michigan, 2010. Algebraic geometry {{algebraic-geometry-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
	Schubert Varieties In algebraic geometry, a Schubert variety is a certain subvariety of a Grassmannian, usually with singular points. Like a Grassmannian, it is a kind of moduli space, whose points correspond to certain kinds of subspaces ''V'', specified using linear algebra, inside a fixed vector subspace ''W''. Here ''W'' may be a vector space over an arbitrary field, though most commonly over the complex numbers. A typical example is the set ''X'' whose points correspond to those 2-dimensional subspaces ''V'' of a 4-dimensional vector space ''W'', such that ''V'' non-trivially intersects a fixed (reference) 2-dimensional subspace ''W''2: :X \ =\ \. Over the real number field, this can be pictured in usual ''xyz''-space as follows. Replacing subspaces with their corresponding projective spaces, and intersecting with an affine coordinate patch of \mathbb(W), we obtain an open subset ''X''° ⊂ ''X''. This is isomorphic to the set of all lines ''L'' (not necessarily through the origin) which m ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
	Annals Of Mathematics The ''Annals of Mathematics'' is a mathematical journal published every two months by Princeton University and the Institute for Advanced Study. History The journal was established as ''The Analyst'' in 1874 and with Joel E. Hendricks as the founding editor-in-chief. It was "intended to afford a medium for the presentation and analysis of any and all questions of interest or importance in pure and applied Mathematics, embracing especially all new and interesting discoveries in theoretical and practical astronomy, mechanical philosophy, and engineering". It was published in Des Moines, Iowa, and was the earliest American mathematics journal to be published continuously for more than a year or two. This incarnation of the journal ceased publication after its tenth year, in 1883, giving as an explanation Hendricks' declining health, but Hendricks made arrangements to have it taken over by new management, and it was continued from March 1884 as the ''Annals of Mathematics''. Th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
	JSTOR JSTOR (; short for ''Journal Storage'') is a digital library founded in 1995 in New York City. Originally containing digitized back issues of academic journals, it now encompasses books and other primary sources as well as current issues of journals in the humanities and social sciences. It provides full-text searches of almost 2,000 journals. , more than 8,000 institutions in more than 160 countries had access to JSTOR. Most access is by subscription but some of the site is public domain, and open access content is available free of charge. JSTOR's revenue was $86 million in 2015. History William G. Bowen, president of Princeton University from 1972 to 1988, founded JSTOR in 1994. JSTOR was originally conceived as a solution to one of the problems faced by libraries, especially research and university libraries, due to the increasing number of academic journals in existence. Most libraries found it prohibitively expensive in terms of cost and space to maintain a compre ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
	Fundamental Group Scheme In mathematics, the fundamental group scheme is a group scheme canonically attached to a scheme over a Dedekind scheme (e.g. the spectrum of a field or the spectrum of a discrete valuation ring). It is a generalisation of the étale fundamental group. Although its existence was conjectured by Alexander Grothendieck, the first proof if its existence is due, for schemes defined over fields, to Madhav Nori. A proof of its existence for schemes defined over Dedekind schemes is due to Marco Antei, Michel Emsalem and Carlo Gasbarri. History The (topological) fundamental group associated with a topological space is the group of the equivalence classes under homotopy of the loops contained in the space. Although it is still being studied for the classification of algebraic varieties even in algebraic geometry, for many applications the fundamental group has been found to be inadequate for the classification of objects, such as schemes, that are more than just topological spaces. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
	Madhav V Mādhava means Lord Krishna an incarnation of Vishnu. 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 a name of Krishna Madhava or Madhava-kara, an Indian physician of the 7th or early 8th century See also Madhavan (other) Madhavi (other) Magha (month) Maagha (Hindi: माघ ''maagh'') is a month of the Hindu calendar. In India's national civil calendar, it's the eleventh month of the year, corresponding to January/February in the Gregor ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
picture info	Council Of Scientific And Industrial Research The Council of Scientific and Industrial Research ( IAST: ''vaigyanik tathā audyogik anusandhāna pariṣada''), abbreviated as CSIR, was established by the Government of India in September 1942 as an autonomous body that has emerged as the largest research and development organisation in India. CSIR is also among the world's largest publicly funded R&D organisation which is pioneering sustained contribution to S&T human resource development in the country. , it runs 37 laboratories/institutes, 39 outreach centres, 3 Innovation Centres and 5 units throughout the nation, with a collective staff of over 14,000, including a total of 4,600 scientists and 8,000 technical and support personnel. Although it is mainly funded by the Ministry of Science and Technology, it operates as an autonomous body through the Societies Registration Act, 1860. The research and development activities of CSIR include aerospace engineering, structural engineering, ocean sciences, life sciences and ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
	Shanti Swarup Bhatnagar Prize For Science And Technology The Shanti Swarup Bhatnagar Prize for Science and Technology (SSB) is a science award in India given annually by the Council of Scientific and Industrial Research (CSIR) for notable and outstanding research, applied or fundamental, in biology, chemistry, environmental science, engineering, mathematics, medicine, and physics. The prize recognizes outstanding Indian work (according to the view of CSIR awarding committee) in science and technology Technology is the application of knowledge to reach practical goals in a specifiable and reproducible way. The word ''technology'' may also mean the product of such an endeavor. The use of technology is widely prevalent in medicine, scie .... It is the most coveted award in multidisciplinary science in India. The award is named after the founder Director of the Council of Scientific & Industrial Research, Shanti Swarup Bhatnagar. It was first awarded in 1958. Any citizen of India engaged in research in any field of scienc ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
	Living People Related categories * :Year of birth missing (living people) / :Year of birth unknown * :Date of birth missing (living people) / :Date of birth unknown * :Place of birth missing (living people) / :Place of birth unknown * :Year of death missing / :Year of death unknown * :Date of death missing / :Date of death unknown * :Place of death missing / :Place of death unknown * :Missing middle or first names See also * :Dead people * :Template:L, which generates this category or death years, and birth year and sort keys. : {{DEFAULTSORT:Living people 21st-century people People by status ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
picture info	1946 Births Events January * January 6 - The first general election ever in Vietnam is held. * January 7 – The Allies recognize the Austrian republic with its 1937 borders, and divide the country into four occupation zones. * January 10 The first meeting of the United Nations is held, at Methodist Central Hall Westminster in London. ''Project Diana'' bounces radar waves off the Moon, measuring the exact distance between the Earth and the Moon, and proves that communication is possible between Earth and outer space, effectively opening the Space Age. * January 11 - Enver Hoxha declares the People's Republic of Albania, with himself as prime minister. * January 16 – Charles de Gaulle resigns as head of the French provisional government. * January 17 - The United Nations Security Council holds its first session, at Church House, Westminster in London. * January 19 The Bell XS-1 is test flown for the first time (unpowered), with Bell's chief test pilot Jack Woolams at the c ... [...More Info...] [...Related Items...] OR:** [Wikipedia] [Google] [Baidu]