BUNTES: p-adic Hodge Theory
Spring 2024 BUNTES will cover foundations and topics in
p-adic Hodge Theory (pHT). Meetings will occur in-person at
Boston University's CDS building.
The first half of the semester will be dedicated to the motivation, formulation, and constructions in the foundations of pHT. This includes the notions of Hodge-Tate representations, formalisms of admissible representations, and the various period rings along with their additional structures. We will largely follow the first two parts of Brinon and Conrad's notes linked below.
The remainder of the semester will be dedicated to either integral pHT, the formalism of phi-Gamma modules, or almost mathematics. The decision will be made later depending on the organizer and participants' interest.
The main references will be Brinon and Conrad's notes [BrCo], though speakers may elect to lean on one of the plethora of other specialized notes available online.
Meeting Times: Thursdays 2:30 PM - 3:30 PM
Location: CDS 524
|Motivation and Hodge-Tate Representations
|BrCo Sec 1,2
|Etale phi-modules and Examples
|BrCo Sec 3
|Formalism of Admissible Representations and Examples
|BrCo Sec 5
|de Rham Period Ring and de Rham Representations
|BrCo Sec 4,6
|BrCo Sec 7
|More to come ...