Kolyvagin’s conjecture and Iwasawa theory
组织者
刁晗生
, 胡悦科
, 埃马纽埃尔·勒库图里耶
,
凯撒·鲁普
演讲者
Giada Grossi
时间
2024年04月22日 10:00 至 11:00
地点
Shuangqing-B627
摘要
Let be a rational elliptic curve and be an odd prime of good ordinary reduction for . In 1991 Kolyvagin conjectured that the system of cohomology classes derived from Heegner points on the -adic Tate module of over an imaginary quadratic field is non-trivial. I will talk about joint work with A.Burungale, F.Castella, and C.Skinner, where we prove Kolyvagin's conjecture in the cases where an anticyclotomic Iwasawa Main Conjecture for is known. Moreover, our methods also yield a proof of a refinement of Kolyvagin's conjecture expressing the divisibility index of the Heegner point Kolyvagin system in terms of the Tamagawa numbers of .