This volume contains the proceedings of the international colloquium organized by the Tata Institute of Fundamental Research in January 2016, one of a series of colloquia going back to 1956.The talks at the colloquium covered a wide spectrum of mathematics, ranging over algebraic geometry, topology, algebraic $K$-theory and number theory. Algebraic theory, $\mathbb{A}^1$-homotopy theory and topological $K$-theory formed important sub-streams in this colloquium. Several branches of $K$-theory, like algebraic cycles, triangulated categories of motives, motivic cohomology, motivic homotopy theory, Chow groups of varieties, Euler class theory, equivariant $K$-theory as well as classical $K$-theory have developed considerably in recent years, giving rise to newer directions to the subject as well as proving results of ``classical'' interest. The colloquium brought together experts in these various branches and their talks covered this wide spectrum, highlighting the interconnections and giving a better perspective of the whole subject area.This volume contains refereed articles by leading experts in these fields and includes original results as well as expository materials in these areas.

"From one of India's senior Civil Servants, a brilliant analysis of the critical moments in India's economic history and the future of multilateralism in the International Monetary Fund that could decide the future of global crisis resolution.V. Srinivas – distinguished Additional Secretary to Government of India, former Advisor to the Executive Director International Monetary Fund and Private Secretary to Finance Minister of India, a widely acclaimed administrator and academician – provides a comprehensive analysis of several big events that stand out in India's relations with the International Monetary Fund based on 17 months of research and interviews.India's Relations with the International Monetary Fund 1991-2016 provides insights into India's role as a Founding Member of the IMF, India's IMF programs of 1966, 1981 and 1991, India's gold purchases from the IMF in 2010, the rise of G20 and India's emergence as the fastest growing major economy in the world. V. Srinivas highlights the role of the IMF as the lender of last resort, the IMF as an institution of asymmetric power in dealing with member countries, the enhanced role of the IMF post-2008 Global Financial Crisis and the Rise of China in the International Monetary System.“India's relations with International Monetary Fund 1991-2016: 25 years in perspective” is the first comprehensive study on the subject that offers deep insights into an Institution that has influenced the global economy in a significant way. "

From one of India's senior Civil Servants, a brilliant analysis of the critical moments in India's economic history and the future of multilateralism in the International Monetary Fund that could decide the future of global crisis resolution.V. Srinivas – distinguished Additional Secretary to Government of India, former Advisor to the Executive Director International Monetary Fund and Private Secretary to Finance Minister of India, a widely acclaimed administrator and academician – provides a comprehensive analysis of several big events that stand out in India's relations with the International Monetary Fund based on 17 months of research and interviews.India's Relations with the International Monetary Fund 1991-2016 provides insights into India's role as a Founding Member of the IMF, India's IMF programs of 1966, 1981 and 1991, India's gold purchases from the IMF in 2010, the rise of G20 and India's emergence as the fastest growing major economy in the world. V. Srinivas highlights the role of the IMF as the lender of last resort, the IMF as an institution of asymmetric power in dealing with member countries, the enhanced role of the IMF post-2008 Global Financial Crisis and the Rise of China in the International Monetary System.“India's relations with International Monetary Fund 1991-2016: 25 years in perspective” is the first comprehensive study on the subject that offers deep insights into an Institution that has influenced the global economy in a significant way.

This volume contains the proceedings of the international colloquium organized by the Tata Institute of Fundamental Research in January 2016, one of a series of colloquia going back to 1956.The talks at the colloquium covered a wide spectrum of mathematics, ranging over algebraic geometry, topology, algebraic $K$-theory and number theory. Algebraic theory, $\mathbb{A}^1$-homotopy theory and topological $K$-theory formed important sub-streams in this colloquium. Several branches of $K$-theory, like algebraic cycles, triangulated categories of motives, motivic cohomology, motivic homotopy theory, Chow groups of varieties, Euler class theory, equivariant $K$-theory as well as classical $K$-theory have developed considerably in recent years, giving rise to newer directions to the subject as well as proving results of ``classical'' interest. The colloquium brought together experts in these various branches and their talks covered this wide spectrum, highlighting the interconnections and giving a better perspective of the whole subject area.This volume contains refereed articles by leading experts in these fields and includes original results as well as expository materials in these areas.

"From one of India's senior Civil Servants, a brilliant analysis of the critical moments in India's economic history and the future of multilateralism in the International Monetary Fund that could decide the future of global crisis resolution.V. Srinivas – distinguished Additional Secretary to Government of India, former Advisor to the Executive Director International Monetary Fund and Private Secretary to Finance Minister of India, a widely acclaimed administrator and academician – provides a comprehensive analysis of several big events that stand out in India's relations with the International Monetary Fund based on 17 months of research and interviews.India's Relations with the International Monetary Fund 1991-2016 provides insights into India's role as a Founding Member of the IMF, India's IMF programs of 1966, 1981 and 1991, India's gold purchases from the IMF in 2010, the rise of G20 and India's emergence as the fastest growing major economy in the world. V. Srinivas highlights the role of the IMF as the lender of last resort, the IMF as an institution of asymmetric power in dealing with member countries, the enhanced role of the IMF post-2008 Global Financial Crisis and the Rise of China in the International Monetary System.“India's relations with International Monetary Fund 1991-2016: 25 years in perspective” is the first comprehensive study on the subject that offers deep insights into an Institution that has influenced the global economy in a significant way. "

From one of India's senior Civil Servants, a brilliant analysis of the critical moments in India's economic history and the future of multilateralism in the International Monetary Fund that could decide the future of global crisis resolution.V. Srinivas – distinguished Additional Secretary to Government of India, former Advisor to the Executive Director International Monetary Fund and Private Secretary to Finance Minister of India, a widely acclaimed administrator and academician – provides a comprehensive analysis of several big events that stand out in India's relations with the International Monetary Fund based on 17 months of research and interviews.India's Relations with the International Monetary Fund 1991-2016 provides insights into India's role as a Founding Member of the IMF, India's IMF programs of 1966, 1981 and 1991, India's gold purchases from the IMF in 2010, the rise of G20 and India's emergence as the fastest growing major economy in the world. V. Srinivas highlights the role of the IMF as the lender of last resort, the IMF as an institution of asymmetric power in dealing with member countries, the enhanced role of the IMF post-2008 Global Financial Crisis and the Rise of China in the International Monetary System.“India's relations with International Monetary Fund 1991-2016: 25 years in perspective” is the first comprehensive study on the subject that offers deep insights into an Institution that has influenced the global economy in a significant way.