Eigenvarieties Study Group

Program: see here (ps: we added one more talk on adic spaces). The modular symbol approach, as well as the last part on Emerton’s completed cohomology, has been postponed. We hope to resume soon.

Main reference: [HLV24] E. Hellmann, J. Ludwig, and O. Venjakob, ed., Non-Archimedean Geometry and Eigenvarieties . EMS Press, 2024.

Time Content Speaker Notes
21 Jul From congruences between modular forms to eigenvarieties Haoran pdf
29 Jul Adic Spaces I Lichang pdf
04 Aug Adic Spaces II Julia pdf
11 Aug Digression: perfectoid spaces Ho Leung pdf
27 Aug The eigenvariety machine I: toolkit from functional analysis. Zhenghang pdf
03 Sep Adic Spaces III Julia pdf
10 Sep The eigenvariety machine II: construction and geometric properties Haoran pdf
18 Sep The Coleman--Mazur eigencurve I: automorphic side Haoran pdf
29 Sep The Coleman--Mazur eigencurve II: Galois side Yicheng On request
21 Oct Eigencurves for definite quaternion algebras Benchao On request