Boston University Number Theory Student Seminar

Boston University

Number Theory Student Seminar
Invites you to our next gathering

Time: Place:	3:30 PM on Thursday, 31 March 153MCS, BU Math Department
Title:	De Rham Cohomology of the p-adic upper half-plane
Speaker:	Jeehoon Park (Boston University)
Abstract:	The goal of the talk is to prove that the first degree De Rham cohomology of the p-adic upper half plane is isomorphic to the space of harmonic cochains on the Bruhat-Tits tree. The method is using the Mayer-Vietoris spectral sequence to glue the cohomologies of the star shaped domains and annuli in the p-adic upper half-plane, based on the acyclicity of the local system on the Bruhat-Tits tree. After reviewing the Bruhat-Tits tree and the tiling of the p-adic upper plane briefly, I will explain how one computes its cohomology.
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