Morningside Center of Mathematics
Chinese Academy of Sciences
Morningside Center of Mathematics
Chinese Academy of Sciences
Title: | Selmer groups and congruence ideals of symmetric powers of modular forms |
Speaker: | Dr. Xiaoyu Zhang (Paris 13) |
Time: | 2017-11-28, 14:00-15:30 |
Place: | N818 |
Abstract: | Congruence ideals are often used in Iwasawa theory, especially in proving the divisibility of p-adic L-functions by the characteristic elements of Selmer groups. Let f be a non-CM elliptic modular form ordinary at a fixed odd prime p satisfying some technical conditions. In this talk, we will concentrate on the twisted even symmetric powers r of the p-adic Galois representation associated to f. I will describe a formula relating the characteristic power series of the Selmer group of r and the congruence ideal given by certain Langlands functorialities for each layer in the p-cyclotomic extension of Q. |
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