## On the Bloch-Kato conjecture for automorphic polarized motives

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The goal of these lectures is to present a proof towards some results predicted by the Bloch-Kato conjecture giving a link between the order of vanishing of the L-function of a motive and the rank of the corresponding Bloch-Kato-Selmer group.

## On the Bloch-Kato conjecture for automorphic polarized motives

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The goal of these lectures is to present a proof towards some results predicted by the Bloch-Kato conjecture giving a link between the order of vanishing of the L-function of a motive and the rank of the corresponding Bloch-Kato-Selmer group.

## Iwasawa theory and deformation theory of Artin representations

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TBA

## Iwasawa theory and deformation theory of Artin representations

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TBA

## Iwasawa theory and deformation theory of Artin representations

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TBA

## Iwasawa theory and deformation theory of Artin representations

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TBA

## The Yang-Baxter Equation, Braces, and Hopf-Galois Theory

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The Yang-Baxter equation first arose in the context of theoretical physics and statistical mechanics.

## Modular forms invariant under non-split Cartan subgroups

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We describe a method for computing a basis for the space of weight 2 cusp forms invariant under a non-split Cartan subgroup of prime level p.