Tata Institute of Fundamental Research, Mumbai

May 18 -- 24, 2012

Professor Peter Sarnak visited the International Centre for Theoretical Sciences of TIFR, Mumbai for a week starting on 17 May, 2012. He gave several lectures as follows:

- For the General Audience, a Ramanujan Lecture on Friday May 18th, 4:00
pm:

The Ramanujan Conjecture and some diophantine equations

- A series of 4 lectures as follows on:
**The Generalized Ramanujan Conjectures and applications:**

Lecture 1: The Generalized Ramanujan Conjectures and L-functions.

Lecture 2: Thin groups and expansion.

Lecture 3: The horocycle flow and sieving for primes.

Lecture 4: Nodal lines of Maass forms and critical percolation.