Eigenvarieties Study Group

Programme: download the outline (we added an extra talk on adic spaces). The modular-symbol approach and the final part on Emerton’s completed cohomology have been postponed. We hope to resume soon.

Main reference: [HLV24] E. Hellmann, J. Ludwig, and O. Venjakob, eds., 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