Abstract:The concept of vector spaces and linear maps between vector spaces are used in all branches of mathematics. In this talk, we try to explain the concept of vector bundles and mapping between vector bundles, which is a natural generalization of vector spaces and linear mapping between vector spaces. The concept of vector bundles and mapping between them is very useful tools in several advanced branches of mathematics.
Speaker: Prof. D S Nagaraj is a renowned Indian Mathematician. He did his Ph.D. from the Tata Institute of Fundamental Research (TIFR), Mumbai and he was a professor at the Institute of Mathematical Science (IMSc), Chennai, one of the premier research institutes in India. After his retirement in 2018 from IMSc, he joined as a professor at IISER, Tirupati and currently is the head of the mathematics department there. A conference on the occasion of his sixtieth birthday was held at IMSc in 2018 to celebrate his works. His areas of interest include algebraic geometry, commutative algebra, and Number theory. Many young scholars who later went on to become well-established mathematicians were influenced by his deep scholarship of the subject. He is extremely generous and approachable to young students who would try to learn algebraic geometry for the first time. All in all, he has made a great impact as a researcher and a great teacher on a generation of mathematicians. He was elected as a fellow of Indian academy of sciences in 2010 and 2017.