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SPS organises a seminar by Gaurav Bhatnagar

SPS organises a seminar by Gaurav Bhatnagar

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SPS organises a seminar by Gaurav Bhatnagar
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School of Physical Sciences

 

Title :  How to discover the Rogers-Ramanujan identities

(Part of a series Topics in Special Functions and Number Theory at SPS, JNU)

 

Speaker: Gaurav Bhatnagar, SPS  

 


Date:  11– November -2019

Time:   3:45 p.m, Monday

Venue: Seminar Room, SPS

 

Abstract : The Rogers-Ramanujan identities were sent by Ramanujan to Hardy in a letter more than a 100 years ago. In the next few years, the identities were circulated among mathematicians, but nobody, including Ramanujan, could prove them. Then one day, while riffling through old back copies of the journal, Ramanujan discovered them in an obscure paper written in 1894 by the English mathematician Rogers. Later, these identities were discovered independently by Schur in a combinatorial context, and then again in 1980 by Baxter in the context of mathematical physics.  We don’t know how Ramanujan got to them, but we examine a method to conjecture these identities which Askey has suggested may be the way Ramanujan discovered them.   

A warm welcome to the modified and updated website of the Centre for East Asian Studies. The East Asian region has been at the forefront of several path-breaking changes since 1970s beginning with the redefining the development architecture with its State-led development model besides emerging as a major region in the global politics and a key hub of the sophisticated technologies. The Centre is one of the thirteen Centres of the School of International Studies, Jawaharlal Nehru University, New Delhi that provides a holistic understanding of the region.

Initially, established as a Centre for Chinese and Japanese Studies, it subsequently grew to include Korean Studies as well. At present there are eight faculty members in the Centre. Several distinguished faculty who have now retired include the late Prof. Gargi Dutt, Prof. P.A.N. Murthy, Prof. G.P. Deshpande, Dr. Nranarayan Das, Prof. R.R. Krishnan and Prof. K.V. Kesavan. Besides, Dr. Madhu Bhalla served at the Centre in Chinese Studies Programme during 1994-2006. In addition, Ms. Kamlesh Jain and Dr. M. M. Kunju served the Centre as the Documentation Officers in Chinese and Japanese Studies respectively.

The academic curriculum covers both modern and contemporary facets of East Asia as each scholar specializes in an area of his/her interest in the region. The integrated course involves two semesters of classes at the M. Phil programme and a dissertation for the M. Phil and a thesis for Ph. D programme respectively. The central objective is to impart an interdisciplinary knowledge and understanding of history, foreign policy, government and politics, society and culture and political economy of the respective areas. Students can explore new and emerging themes such as East Asian regionalism, the evolving East Asian Community, the rise of China, resurgence of Japan and the prospects for reunification of the Korean peninsula. Additionally, the Centre lays great emphasis on the building of language skills. The background of scholars includes mostly from the social science disciplines; History, Political Science, Economics, Sociology, International Relations and language.

Several students of the centre have been recipients of prestigious research fellowships awarded by Japan Foundation, Mombusho (Ministry of Education, Government of Japan), Saburo Okita Memorial Fellowship, Nippon Foundation, Korea Foundation, Nehru Memorial Fellowship, and Fellowship from the Chinese and Taiwanese Governments. Besides, students from Japan receive fellowship from the Indian Council of Cultural Relations.