|COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring.|
Iwasawa theory for modular forms at supersingular primes
If you have a question about this talk, please contact Tom Fisher.
Let f = \sum a_n q^n be a normalised new form. If p is a supersingular prime for f, the classical p-adic L-functions have unbounded coefficients. In the case of a_p = 0, Pollack has defined plus and minus p-adic L-functions for f which have bounded coefficients. Generalising Kobayahsi’s work on elliptic curves, we will define Selmer subgroups which are cotorsion over the cyclotomic extension of Q and relate them to Pollack’s p-adic L-functions via the construction of Coleman maps. This enables us to state a version of the Iwasawa main conjecture.
This talk is part of the Number Theory Seminar series.
This talk is included in these lists:
Note that ex-directory lists are not shown.
Other listsCavendish Astrophysics Summary Electron Microscopy Group Conferences University of Pennsylvania Seminar
Other talksWilliam Courten (1642–1702) and natural history The unknowable, the new reformation, and the rationale for religious freedom: the place of religion in Spencer's philosophy Action Research as a Strategy for Teacher Development ALADDIN current progress Tunnelling Under Cities, Advances in Research and Practice Summer Cactus & Succulent Show