Diagonal cycles
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Cohomological interpretation of L-values
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Euler Systems – Introduction
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We will start looking at the second part of “L-functions and Euler systems: a tale in two trilogies” (available at http://www.math.mcgill.ca/darmon/pub/Articles/Research/61.Durham-ES/durham.pdf), and distributing talks.
Triple product p-adic L-functions and iterated integrals
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I will explain A.Lauder’s approach to computing special values of Rankin triple product p-adic L-functions. These have quite striking applications to the arithmetic of elliptic curves, and appear in the “Elliptic Stark Conjecture” of Darmon-Lauder-Rotger.
The Elliptic Stark Conjecture I
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Ichino formula for definite quaternion algebras
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p-adic Hodge theory
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p-adic Hodge theory (II)
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The spaces of nearly holomorphic and nearly overconvergent modular forms
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Rigid analytic modular forms
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Rigid analytic modular forms are p-adic analogues of the classical holomorphic modular forms.