Dipendra Prasad

Dipendra Prasad (born March 22, 1960 ) is an Indian mathematician.

Prasad studied at St. Xavier College in Mumbai with a bachelor's degree in 1978, at the Indian Institute of Technology in Kanpur with a master's degree in 1980 and received his doctorate in 1989 under Benedict Gross at Harvard University (Trilinear Forms for GL2 of a Local Field and -Factors). He was a professor at the Harish-Chandra Research Institute in Allahabad (from 1994 Associate Professor and from 1997 Professor) and is Professor at the Tata Institute of Fundamental Research . There he was a fellow from 1990 to 1993 and a reader from 1993 to 1997 . ${\ displaystyle \ varepsilon}$

He deals with number theory, automorphic forms ( Langlands program ) and representation theory of p-adic groups. He investigated the branching rules when restricting the representation of groups to one of their subgroups, especially for infinitely dimensional representations of real and p-adic groups. With Benedict Gross, he showed the importance of so-called epsilon factors in branching rules. This has connections to the global theory of automorphic forms in the Langlands program.

In 2002 he received the Shanti Swarup Bhatnagar Prize . He was invited speaker at the International Congress of Mathematicians in Rio de Janeiro 2018 (Ext-analogues of branching laws). He is a Fellow of the National Academy of Sciences in Allahabad and the Indian Academy of Sciences in Bangalore.

He is the brother of math professors Gopal Prasad and Shrawan Kumar .

Fonts

Trilinear forms for representations of GL (2) and local -factors, Compositio Mathematica, Volume 75, 1990, pp. 1-46. ${\ displaystyle \ varepsilon}$
with BH Gross: Test vectors for linear forms, Math. Ann., Volume 291, 1991, pp. 343-355
with BH Gross: On the decomposition of a representation of SO (n) when restricted to SO (n - 1), Canadian Journal of Mathematics, Volume 44, 1992, pp. 974-1002.
with C. Khare : Extending local representations to global representations, Kyoto J. of Maths, Volume 36, 1996, pp. 471-480
with Jeffrey D. Adler: On certain multiplicity one theorems, Israel J. of Mathematics, Volume 153, 2006, pp. 221–245.
Relating invariant linear form and local epsilon factors via global methods, with an appendix by H. Saito, Duke Mathematical Journal, Volume 138, 2007, pp. 233-261.
with Rainer Schulze-Pillot: Generalized form of a conjecture of Jacquet, and a local consequence, J. Reine and Applied Mathematics, Volume 616, 2008, pp. 219-236
with Ramin Takloo-Bighash: Bessel models for GSp (4), J. Reine and Angewandte Math., Volume 655., 2011, pp. 189–243.
with Dinakar Ramakrishnan: On the self-dual representations of division algebras over local fields, American Journal of Mathematics, Volume. 134, 2012, pp. 749-772.
with Wee Teck Gan, BH Gross: Symplectic local root numbers, central critical L-values, and restriction problems in the representation theory of classical groups, Astérisque, No. 346, 2012, pp. 1–109
with Gan, Gross: Restriction of representations of classical groups: Examples, Astérisque, No. 346, 2012, pp. 111-170

Web links

Homepage at the Tata Institute
Indian National Science Academy website , web archive

Individual evidence

↑ Dipendra Prasad in the Mathematics Genealogy Project (English)

personal data
SURNAME	Prasad, Dipendra
BRIEF DESCRIPTION	Indian mathematician
DATE OF BIRTH	March 22, 1960

[1] Dipendra Prasad in the Mathematics Genealogy Project (English)