
Talk 1:
Title: Padic Hodge Theory, Introduction and Motivation
Abstract: We give an introduction to padic Hodge theory, including motivation both from classical nonpadic and padic theory. We introduce some techniques we will need in the next talks.
Information:
Date and Time:  Wednesday, December 10, 2014 at 10:0012:00
 Place:  Niavaran Bldg., Niavaran Square, Tehran, Iran 

Talk 2:
Title: Classes of Representations and Rings of Periods
Abstract: We discuss Fontaine's various classes of representations and how they correspond to certain "rings of periods". These are "big" algebras that try to recapture some geometric content which is otherwise hard to translate to the padic world. We try to elucidate an axiomatic approach as well as some geometric intuition. We sketch proofs for the hierarchy of representations (HodgeTate, de Rham, semistable, crystalline) and discuss the padic monodromy theorem.
Information:
Date and Time:  Wednesday, December 10, 2014 at 15:3017:00
 Place:  Niavaran Bldg., Niavaran Square, Tehran, Iran 

Talk 3:
Title: ($\varphi,$$\Gamma$)modules and Beyond
Abstract: We present Fontaine's equivalence of categories between *all* padic Galois representations and objects of semilinear algebra called ($\varphi,$$\Gamma$)modules, and give an outline of a proof. We then discuss connections to earlier theory (socalled reciprocity laws), applications and possible generalizations.
Information:
Date and Time:  Thursday, December 11, 2014 at 10:0012:00
 Place:  Niavaran Bldg., Niavaran Square, Tehran, Iran 

 
