The Ramanujan Conjecture and some diophantine equations

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.