Infosys-ICTS Ramanujan Lectures
Srinivasa Ramanujan’s extraordinary contributions to mathematical analysis, number theory, infinite series, and continued fractions are unparalleled. The Infosys-ICTS Ramanujan Lectures are delivered by renowned mathematicians on important developments in their area of speciality. The first lecture in the series is aimed at a general audience while the rest are for mathematicians.
Past Lectures
Exploring Moduli
Carlos Simpson (Université Nice-Sophia Antipolis, France)
10 February 2020 to 14 February 2020
Ramanujan Lecture Hall, ICTS Campus
Lecture 1: Exploring Moduli: basic constructions and examples - 4 PM, 10 February 2020 Abstract: The objective of this lecture series is to discuss the techniques and results that can be used to explore the classification of objects such as vector bundles in algebraic geometry and beyond. In the...more
Some open questions about scaling limits in probability theory
Sourav Chatterjee (Stanford University, California, USA)
14 January 2019 to 18 January 2019
Madhava Lecture Hall, ICTS campus
img.a { vertical-align: baseline; } Lecture 1: Yang-Mills for mathematicians Date & Time: Monday, 14 January 2019, 16:00 Abstract: Making sense of quantum field theories is one of the most important open problems of modern mathematics. It is not very well known in the mathematics community that...more
Some new results on rationality
Claire Voisin (College de France)
01 October 2018, 16:00
Madhava Lecture Hall, ICTS campus
Lecture 1: Some new results on rationality Date & Time: Monday, 1 October 2018, 04:00 PM Abstract: An algebraic variety is rational if it is birational to the projective space or affine space of the same dimension. In dimension 1 and 2 and over the complex numbers, smooth projective rational...more
Understanding non-equilibrium: some recent advances and a challenge for the future
Giovanni Jona-Lasinio (Sapienza University, Rome)
03 November 2015, 16:00 to 17:00
Ramanujan Lecture Hall, ICTS campus
Far from equilibrium behavior is ubiquitous.Indeed most of the processes that characterize energy flow occur far from equilibrium. These range from very large systems, such as weather patterns or ocean currents that remain far from equilibrium owing to an influx of energy, to biological structures...more
Automorphic forms and Galois representations
Chandrashekhar Khare (University of California Los Angeles)
03 November 2014, 11:30 to 12:30
AG 66, TIFR, Mumbai
Modular forms are holomorphic functions on the upper half plane which have a high degree of symmetry. Galois theory studies permutation symmetries of roots of polynomial equations defined over the rationals. There is a close and occult connection between these two completely different symmetries...more
Locally symmetric spaces, and Galois representations
Peter Scholze (The University of Bonn, Germany)
25 March 2014, 11:30 to 12:30
AG 66, TIFR, Mumbai
One of the most studied objects in mathematics is the modular curve, given as the locally symmetric space which is the quotient of 2-dimensional hyperbolic space by congruence subgroups of SL_2(Z). In particular, it is naturally the home of modular forms. It also has an algebraic structure as the...more
Mathematical Perspectives on Clouds, Climate, and Tropical Meteorology
Andrew J. Majda (Morse Professor of Arts and Science Dept. of Maths and Courant Institute, New York University, USA)
22 January 2013, 16:00 to 17:00
ICTS-TIFR, IISc, Bangalore
Lecture 1: Climate Science, Waves, and PDE’s for the Tropics: Observations, Theory, and Numerics Abstract: Geophysical flows are a rich source of novel problems for applied mathematics and the contemporary theory of partial differential equations. The reason for this is that many physically...more
The Generalized Ramanujan Conjectures and Applications
Peter Sarnak (Princeton University, USA)
21 May 2012, 11:30 to 12:30
AG 66, TIFR, Mumbai
Lecture 1: The Generalized Ramanujan Conjectures Abstract: One of the central problems in the modern theory of automorphic forms is the Generalized Ramanujan Conjecture.We review the development and formulation of these conjectures as well as recent progress. While the general Conjecture is not...more