Prof. Guerzhoy's web page for participants
June 15 – July 10, 2009
UHM Math. Dept.
Abstract: Many advances on the algebraic side of number theory in the last 15 years (such as the solutions of the Shimura-Taniyama conjecture, Sato-Tate conjecture and Serre’s conjecture, as well as decisive progress on the Fontaine-Mazur conjecture and Main Conjectures for modular forms) have relied in an essential way on improvements in the theory of Galois representations.
The aim of the three main courses is to present an overview of many of these ideas and applications, aimed at advanced graduate students and postdocs with a strong background in number theory, Galois cohomology, and basic algebraic geometry.