Morningside Center of Mathematics
Chinese Academy of Sciences
Morningside Center of Mathematics
Chinese Academy of Sciences
| Title: | Variation of anticyclotomic Iwasawa invariants in Hida families |
| Speaker: | Dr. Francesc Castella (UCLA) |
| Time: | 2016-3-25, 16:00-17:30 |
| Place: | 610 |
| Abstract: | In this talk, we will explain how certain anticyclotomic Iwasawa invariants are behaved under congruences between p-ordinary modular forms. Our main result is proved following an anticyclotomic analogue of the techniques introduced by Emerton-Pollack-Weston in the cyclotomic setting, and has the following consequence: the anticyclotomic Iwasawa main conjecture in weight 2 (as proven by the combined works of Bertolini-Darmon, Pollack-Weston, and Skinner-Urban) implies the main conjecture for higher weights. (Joint work with Chan-Ho Kim and Matteo Longo.) |
| Attachment: |
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