Reductions of Galois Representations of Small Slopes

<strong>Mathematics Seminar of the School of Physical Sciences</strong> <strong>---------------------------------------------------------</strong> Title: <strong>Reductions of Galois Representations of Small Slopes</strong> Speaker: <strong>Eknath Ghate</strong> (Tata Institute of Fundamental Research, Mumbai) Date: <strong>January 27, 2016 </strong> <strong>Abstract: </strong>This will be blackboard talk about a fundamental concept in modern number theory called Galois Representation and its reduction modulo primes. Special efforts will be made to make the talk accessible to beginning graduate students in mathematics. Knowledge about basic number theory and galois theory will help.