Modular eigenforms of finite p-slope are p-adically interpolated by the rigid analytic eigencurve, an object that admits a precise interpretation in terms of a Galois deformation space. No such construction is available for eigenforms of infinite p-slope. I use techniques from Galois deformation theory to study whether the Galois representations attached to such forms can be p-adically interpolated, with the goal of showing that this is possible only in some exceptional cases.
Deforming Galois representations attached to eigenforms of infinite slope
23.11.2021 13:15 - 14:45
Organiser:
H. Grobner, A. Minguez-Espallargas, A. Mellit
Location:
Zoom-Meeting ID: 431 655 310, Passcode: 0cnL5d