TATA INSTITUTE OF FUNDAMENTAL RESEARCH Homi Bhabha Road, Mumbai 400 005
CITATION
Representation theory of Lie Groups, a deep and central area of Mathematics is essentially the creation of Harish-Chandra. Dr. Raghuram's Ph.D. thesis is an excellent recent contribution to this theory. Dr. Raghuram's thesis takes the first steps towards our understanding of representations of the p-adic group GL(2,D), where D is a finite dimensional central division algebra over a p-adic field. The central theme is the development of a Kirillov theory for these groups along the lines of Jaquet and Langlands for GL (2) over the p-adic field.
The thesis contains many interesting new results and ideas and the back-ground information used is very impressive. Many of the results in the thesis have recently appeared in the prestigious Duke Mathematics Journal in a joint paper with D. Prasad.
PROFILE