|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 listsLeadership for Learning (LfL) Group Seminars Machine Learning @ CUED Biophysical Techniques Lecture Series 2015
Other talksData With Everything Verbal picturing and aesthetic experience in natural history, 1650–1720 'A New Kind of Wildness' - the Rite of Spring and Other Queer Journeys into the Wild Towards quantum algorithms for natural language processing Parental-origin effects and the epigenetic control of genome function Cosmology/inflation talk (title TBC)