**Date & Time:** Wednesday, January 08, 2014, 17:15-18:30.

**Venue:** Institute Auditorium, SoM, IIT Bombay

**Speaker:** M. Ram Murty, Queen's University

**Title:** Ramanujan and the Zeta Function

**Abstract:** In the 18th century, Euler proved that the Riemann zeta function
evaluated at even arguments is always a rational multiple of a power
of $\pi$. Hence, these values are all transcendental. The values of
the zeta function at odd arguments still remain a mystery. However, in
his celebrated notebooks, Ramanujan discovered a marvelous formula
for these values that links them to the theory of modular forms.
We will give an overview of the contributions of Euler and Ramanujan
and report on some recent advances in the theory. The talk
will be accessible to a general audience.