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
Jul. 21 From congruences between modular forms to eigenvarieties Haoran pdf
Jul. 29 Adic Spaces I Lichang pdf
Aug. 04 Adic Spaces II Julia pdf
Aug. 11 Digression: perfectoid spaces Ho Leung pdf
Aug. 27 The eigenvariety machine I: toolkit from functional analysis. Zhenghang pdf
Sep. 03 Adic Spaces III Julia pdf
Sep. 10 The eigenvariety machine II: construction and geometric properties Haoran pdf
Sep. 18 The Coleman--Mazur eigencurve I: automorphic side Haoran pdf
Sep. 18 The Coleman--Mazur eigencurve I: automorphic side Haoran pdf
Sep. 29 The Coleman--Mazur eigencurve II: Galois side Yicheng On request
Oct. 12 Eigencurves for definite quaternion algebras Benchao On request