Title: Galois representations and modular forms
<p>Speaker:  Chandrashekhar Khare, University of Utah
<p>
Abstract: The absolute Galois group of Q is an object that contains a wealth of
number-theoretic information. The study of its representations
has been an intense focus of attention of algebraic number theorists.
There are well-known so-called reciprocity conjectures about these
representations attached to the names of Artin, Langlands, Serre, Fontaine and
Mazur. I will try to explain some of these conjectures, and recent progress on
them.