## Kato’s Euler system

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## Venerucci’s proof of the Mazur-Tate-Teitelbum conjecture in rank 1

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## Kolyvagin’s Theorem I

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## Kolyvagin’s Theorem II

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## Diagonal cycles

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## Arithmetic Okounkov bodies I

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We will review the construction of Newton-Okounkov bodies by Kaveh-Khovanskii and Lazarsfeld-Mustata, within a general framework of semigroups and cones associated to filtrations.

## Cohomological interpretation of L-values

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## Arithmetic Okounkov bodies II

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We will address the construction of arithmetic Newton-Okounkov bodies, and more generally functions on Newton-Okounkov bodies arising from filtrations, following ideas of Boucksom and collaborators.

## Hida-Rankin p-adic L-function

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Second talk of the learning seminar on the Tale on 2 trilogies.

## The Beilinson-Flach Euler system

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In this talk, I will set up the general Euler system machinery of Rubin and look at its properties and examples.