ICTS

Calabi-Yau manifolds play an important role in physics owing to the part they play in passing from a 10-dimensional string theory vacuum to the observed world of four dimensions. The process of calculating the four - dimensional quantities usually involves a calculation of certain period integrals...more

In this talk we propose a new definition of science based on the distinction between the activity of scientists and the product of that activity: the former is denoted (lower-case) science and the latter (upper-case) Science. These definitions are intended to clarify the nature of scientific...more

The theory of holomorphic vector bundles on a compact Riemann surface is a vast "non-abelian" generalisation of the classical theory of the Jacobian variety. The Jacobian, a complex torus, arose in the work of Abel, Jacobi and Riemann on abelian integrals on compact Riemann surfaces. The non-...more

The GR session has been planned to commemorate and celebrate 100 years of Einstein's General Theory of Relativity on the afternoon of Friday, 26th June, 2015 at the Faculty Hall, Indian Institute of Science Campus, Bengaluru. This special session will be chaired by Prof. Gary Horowitz, University...more

Everywhere we turn these days, we find that networks can be used to describe relevant interactions.In the high tech world, we see the Internet, the World Wide Web, mobile phone networks, and a variety of online social networks.In economics, we are increasingly experiencing both the positive and...more

Understanding whether (and how often) a mathematical expression takes a square value is a problem that has fascinated mathematicians since antiquity. In this lecture a survey of this problem, starting from its independent origins in many cultures in ancient times to some of the major advances of...more

It is known for long time that the Universe went through the hot Big Bang stage, with extraordinarily high temperatures of matter and extremely rapid expansion of space. It is less known that existing observational data strongly suggest that the hot Big Bang stage was not the first one, but was...more

Holography relates a quantum theory of gravity in certain space – times known as anti de Sitter spaces, to an ordinary quantum field theory in one less dimensions. In this talk we shall discuss how such correspondences are discovered and how they are tested, giving special emphasis to testing those...more