Monday, 17 December 2018

Minhyong Kim
Title: Principal bundles in geometry and arithmetic - Lecture 1
Abstract:

"Number theorists spend a lot of time and energy thinking about ""Galois representations"". We will explain what is meant by this phrase; describe some examples; give an iddication of how these relate to L-functions in certain cases; and hint at the role of perturbative methods (i.e., deformation theory) in the study of these objects." 

Minhyong Kim
Title: Principal bundles in geometry and arithmetic - Lecture 2
Abstract:

"Number theorists spend a lot of time and energy thinking about ""Galois representations"". We will explain what is meant by this phrase; describe some examples; give an iddication of how these relate to L-functions in certain cases; and hint at the role of perturbative methods (i.e., deformation theory) in the study of these objects." 

Tuesday, 18 December 2018

Dipendra Prasad
Title: Class field theory for physicists - Lecture 1
Abstract:

These talks meant for audience without much prior knowledge of Algebraic Number Theory will attempt to give an exposition of Classfield Theory, starting with Galois theory.

Wednesday, 19 December 2018

Dipendra Prasad
Title: Class field theory for physicists - Lecture 2
Abstract:

These talks meant for audience without much prior knowledge of Algebraic Number Theory will attempt to give an exposition of Classfield Theory, starting with Galois theory.

Kiran Kedlaya
Title: Galois representations for physicists - Lecture 1
Abstract:

Principal bundles and their moduli spaces have been important objects of study and essential tools in the geometry and topology of manifolds for at least the last 50 years. This talk will discuss their existing applications to number theory and future possibilities.

Thursday, 20 December 2018

Dipendra Prasad
Title: Class field theory for physicists - Lecture 3
Abstract:

These talks meant for audience without much prior knowledge of Algebraic Number Theory will attempt to give an exposition of Classfield Theory, starting with Galois theory.

Kiran Kedlaya
Title: Galois representations for physicists - Lecture 2
Abstract:

Principal bundles and their moduli spaces have been important objects of study and essential tools in the geometry and topology of manifolds for at least the last 50 years. This talk will discuss their existing applications to number theory and future possibilities.