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SUMMARY:Math - CS Colloquium
DESCRIPTION:Dear All\, \nThe Department of Computer Science and the Department of Mathematics invites you to a joint colloquium on "The Magnificence of Brahmagupta's Bhāvanā" by Prof. Amartya Kumar Dutta\, Director\, ISI\, Kolkata. \nThe details are as follows: \nAbstract: In this talk we will try to give a historical perspective on a profound result in mathematics due to Brahmagupta (628 CE). The result is a certain ‘law of composition’ referred to in Indian mathematics by the great Sanskrit word bhāvanā. In mathematics\, a law of composition combines (i.e.\, ‘composes’) twomathematical objects of a certain type to produce a third object of the same type. For instance\, Brahmagupta’s composition law bhāvanā combines two solutions of a given equation to generate a third solution of the equation; it also combines two polynomial expressions of a particular type to yield another expression of the same type. While Brahmagupta’s bhāvanā is now a basic and useful result in modern number theory\, its real greatness lies in its manifesting the very principle of composition in mathematics. The principle of composition lies at the heart of modern Abstract Algebra and Number Theory. A subsequent major landmark in number theory is Gauss’s composition law (1801) on ‘binary quadratic forms’\, a generalisation of an aspect of Brahmagupta’s bhāvanā. Around the beginning of the present century\, Fields Medalist Manjul Bhargava stunned the world of mathematics by his discovery of new ‘composition laws’\, which simplify and provide far-reaching generalisations of Gauss’s law. \nAs a tribute to the work of Brahmagupta\, a prominent mathematics magazine which is being published from January 2017 has been named Bhāvanā. For the word bhāvanā brings to our mind a brilliant mathematical concept from a bygone era and provides a link between one of the highest peaks of ancient Indian mathematics and one of the most celebrated achievements in contemporary mathematics. \nAbout the Speaker: Prof. Amartya Kumar Dutta works in commutative algebra and affine algebraic geometry\, with additional contributions to the history of mathematics. He is currently the Director of the Indian Statistical Institute (ISI)\, Kolkata\, where he has spent nearly three decades in the Theoretical Statistics and Mathematics Unit. He obtained his Ph.D. in Mathematics from the Tata Institute of Fundamental Research in 1994 under S. M. Bhatwadekar\, and has since built a sustained research program in algebra. His work focuses on structural questions\, including affine fibrations\, polynomial ring retracts\, residual and stable coordinates\, and Noetherian algebras. Over the years\, he has also mentored and guided numerous students\, contributing significantly to the development of the subject in India. \nAlongside his research\, Prof. Dutta has maintained a long-standing engagement with the history of mathematics\, especially ancient Indian mathematical traditions. For over 25 years\, he has delivered lectures and written articles on the history of science\, and has taught courses on Indian mathematics and modern science at the Ramakrishna Mission Institute of Culture. His writings\, including a continuing series in the magazine Bhāvanā\, reflect a distinctly algebraic perspective on the evolution of mathematical ideas. He is a recipient of the INSA Teachers Award\, and the inaugural Satish C. Bhatnagar Award in History of Mathematics from the Indian Mathematical Society.  \nWe look forward to your active participation.
URL:https://www.ashoka.edu.in/event/math-cs-colloquium/
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