Raman Parimala

Raman Parimala ( born 1948 ) is an Indian mathematician who deals with algebra and algebraic geometry.

Life

Parimala went to Chennai to school and studied at the Stella Maris College, University of Madras ( bachelor's degree in 1968, master's degree, 1970 ) and at the University of Mumbai, where they 1976 R. Sridharan from the Tata Institute of Fundamental Research doctorate. After that, she was for many years a professor at the Tata Institute. Since 2005 she is Asa Griggs Candler Professor at Emory University in Atlanta. She was a visiting scientist at the ETH Zurich, the University of Lausanne, the University of California, Berkeley, the University of Chicago, Ohio State University and the University of Paris in Orsay. In 2006, she was Emmy Noether visiting professor at the University of Göttingen.

Parimala deals with algebraic groups, quadratic forms and Galoiskohomologie. It was the first example 1983 of a non-trivial square space above the affinity level. With Max Albert Knusper, Manuel Ojanguren and Sridharan examined her then square rooms low rank in algebraic geometry, to the solution ( with Knusper, Sridharan ) a problem of Abraham Adrian Albert from the 1930 conditions for the decomposability of involutions in central division algebras introduced. They introduced it with a new invariant ( Pfaffian discriminant of the involution ) and proved the decomposability if this invariant vanishes.

Parimala dissolved or carried some other partially long open conjectures. So it proved in 2007 with V. Suresh that the μ - invariant (the maximum dimension of an anisotropic quadratic form over the body ) of the rational function field of an algebraic curve over the p- adic numbers is less than or equal to 10. The fact that this invariant is finite and equal to 8, had already been suggested in the 1950s. In 1995, she proved with Eva Bayer - Fluckiger a conjecture of Serre ( assumption 2) from 1962 to Galoiskohomologie algebraic groups for some classical groups.

She was invited speaker at the ICM 1994 in Zurich ( Study of quadratic spaces over algebraic varieties - revelance in algebra and geometry ) and was invited for the ICM 2010 in Hyderabad at a plenary lecture ( Arithmetic of linear algebraic groups over two dimensional fields ). She is a Fellow of the Indian Academy of Sciences (Indian Academy of Sciences ) and the Indian National Science Academy. In 1987 she was awarded the Shanti Swarup Bhatnagar Prize - and Srinivasan Ramanujan Birth Centenary 2003 Award. She became an honorary doctorate from the University of Lausanne in 1999. In 2005, she received the Mathematics Award of the Academy of Sciences of the Developing World for their work on the quadratic analogue of Serre conjecture, the triviality of homogeneous spaces of classical groups over fields of cohomological dimension 2 and the μ - invariant of p- adic function body .. 2013, it holds the Noether Lecture. She is a Fellow of the American Mathematical Society.

Writings

• With V. Suresh: The μ - invariant of the function fields of p- adic curves, 2007
• Failure of a quadratic analogue of Serre 's conjecture, Bulletin AMS, Bd.82, 1976, p 962,
• Eva Bayer - Fluckiger: Classical groups and the Hasse Principle, Annals of Mathematics, Vol 147, 1998, S.651
• Mathematicae Galois cohomology of the Classical groups over fields of cohomological dimension ≦ 2, Inventiones, Bd.122, 1995, p.195: Bayer - Fluckiger