On Euler systems for motives and Heegner points

Elliptic curves over global fields (11G05) Arithmetic aspects of modular and Shimura varieties (11G18) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Zeta functions and (L)-functions of number fields (11R42) Iwasawa theory (11R23)

Cites Work

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Refined class number formulas for $\mathbb{G}_m$
On zeta elements for $\mathbb G_m$
Euler systems for Rankin-Selberg convolutions of modular forms
On $p$-adic analogues of the conjectures of Birch and Swinnerton-Dyer
Heegner points and derivatives of $L$-series
A refined conjecture of Mazur-Tate type for Heegner points
$p$-adic $L$-functions of an elliptic curve and rational points
On the equivariant Tamagawa number conjecture for Tate motives
Mazur's conjecture on higher Heegner points.
Iwasawa theory for elliptic curves over imaginary quadratic fields
A Stark conjecture ``over ${\mathbb{Z}}$ for abelian $L$-functions with multiple zeros
Heegner point Kolyvagin system and Iwasawa main conjecture
Equivariant Iwasawa theory for elliptic curves
Stark systems and equivariant main conjectures
A proof of Perrin-Riou's Heegner point main conjecture
Selmer groups and the indivisibility of Heegner points
On Euler systems for the multiplicative group over general number fields
On the parity of ranks of Selmer groups II
Refined abelian Stark conjectures and the equivariant leading term conjecture of Burns
On Euler systems of rank $r$ and their Kolyvagin systems
Bipartite Euler systems
Stark units and the main conjectures for totally real fields
Fonctions $L$ $p$-adiques, théorie d'Iwasawa et points de Heegner
The Heegner point Kolyvagin system
Euler Systems
p-adic heights of Heegner points and Beilinson-Flach classes
A higher rank Euler system for Gm over a totally real field
Tamagawa numbers for motives with (non-commutative) coefficients
Heegner points on Mumford-Tate curves

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