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.