Attraction of the leading scientists to Russian institutions of higher learning, research organizations of the governmental academies of sciences, and governmental research centers of the Russian Federation

Laboratory for modern algebra

About Laboratory

Grant Agreement No.: 14.W03.31.0030
Project name: Group theory, algebraic geometry, representation theory, theory of motives, homological algebra.
Name of the institution of higher learning: Saint-Petersburg State University
Fields of scientific research: Mathematics

Creating in St. Petersburg a new laboratory uniting experts in several areas of modern algebra, such as group theory, algebraic geometry, representation theory, theory of motives, homological algebra.

Leading scientist

 Dipendra Prasad

Name:   Prasad Dipendra

 

Academic degree and title: Doctor of Philosophy (Ph. D.)
Job Title: Distinguished Professor, Tata Institute of Fundamental Research (India)
Field of scientific interests: mathematics, algebra, group theory, representation theory

Scientific recognition:
2002 - Shanti Swarup Bhatnagar Award in Mathematical Science, Council of Scientific and Industrial Research (India)
2005 - Ramanujan Award of the Indian Science, Congress The Indian Science Congress Association
1997 - Fellow of The National Academy of Sciences, India
1995 - Fellow, Indian Academy of Sciences founded by C. V. Raman

Scientific work of the leading scientist, his/her main scientific achievements:
Dipendra Prasad is Distinguished Professor in Tata Institute of Fundamental Research in India. His most significant results belong to the representation theory. Bright example of them is his work on trilinear forms that solves a non-trivial case of a conjecture made by Gross.
Another example is his solution of conjecture of Jacquet on distinguished representation of general linear groups. The techniques he has initiated have proved extremely useful to people working in the Langland's program. With the name of Dipendra Prasad the Gross-Prasad (later Gan-Gross-Prasad) conjectures are connected. Dipendra Prasad received Shanti Swarup Bhatnagar Prize in 2002 and Ramanujan Award of the Indian Science Congress in 2005. He was a speaker in honor of the Platinum Jubilee at the Indian Scientific Congress in 2011. He is also invited speaker in ICM 2018.

Prasad, Dipendra A refined notion of arithmetically equivalent number fields, and curves with isomorphic Jacobians 2017 ADVANCES IN MATHEMATICS

Prasad, Dipendra A CHARACTER RELATIONSHIP ON GL(n)(C) 2016 ISRAEL JOURNAL OF MATHEMATICS

Patel, Shiv Prakash; Prasad, Dipendra MULTIPLICITY FORMULA FOR RESTRICTION OF REPRESENTATIONS OF (GL(2))over-tilde(F) TO (SL(2))over-tilde(F) 2016 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

Prasad, Dipendra Half the sum of positive roots, the Coxeter element, and a theorem of Kostant 2016 FORUM MATHEMATICUM

Anandavardhanan, U. K.; Prasad, Dipendra A local-global question in automorphic forms 2013 COMPOSITIO MATHEMATICA

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