## On reduction steps for Leopoldt’s conjecture – Fabio Ferri (Università di Exeter)

Let $p$ be a rational prime and let $L/K$ be a Galois extension of number fields with Galois group $G$. Under some hypotheses, we show that Leopoldt’s conjecture at $p$ for certain proper intermediate fields of $L/K$ implies Leopoldt’s conjecture at…

## On the infinite dimension limit of invariant measures and solutions of Zeitlin’s 2D Euler equations – Milo Viviani (Centro de Giorgi)

In this talk we consider a finite dimensional approximation for the 2D Euler equations on the sphere, proposed by V.…

## Limit Theorems for a class of unbounded observables on the real line with an application to sampling the Lindelöf Hypothesis – Kasun Fernando (Centro De Giorgi – SNS)

We prove the Central Limit Theorem, first order Edgeworth expansion and Mixing Local Limit Theorem for the Birkhoff sums of a class of L^3 observables over Boolean-type transformations on the real line. The class of observables include the real…

## A short proof of Allard’s theorem – Carlo Gasparetto (SISSA)

Allard’s theorem roughly states that a minimal surface, that is close enough to a plane, coincides with the graph of a smooth function which enjoys suitable a priori estimates. In this talk we will show how one can prove this result by exploiting…

## Combinatorics of hopping particles and positivity in Markov chains – Lauren K. Williams (Harvard University, USA)

The asymmetric simple exclusion process (ASEP) is a model for translation in protein synthesis and traffic flow; it can be…

## Coevolution of moons and the spin axis of their host planet – Melaine Saillenfest (IMCCE, Observatoire de Paris)

Satellites alter the spin-axis precession rate of their host planet. The tidal migration of moons is therefore an efficient driver…

## Thermalization of 2D Quantum Memories – Angelo Lucia (Universidad Complutense de Madrid)

The aim of a quantum memory is to protect an encoded quantum state against errors for long periods of time.…

## On the classification problem of countable abelian groups – Martino Lupini (Università di Bologna)

I will present the framework of Borel-definable homological algebra, where classical constructions and invariants from homological algebra are enriched with additional information of descriptive set-theoretic nature. I will then explain how this…

## Some remarks on the component group of the Sato-Tate group – Victoria Cantoral Farfán (Georg-August-Universität Göttingen)

The famous Sato-Tate conjecture for elliptic curves defined over a number field (without complex multiplication) predicts the equidistribution of Frobenius…

## The Complexity of Higher Chow Groups – James Lewis (University of Alberta)

Let $X/{\mathbb C}$ be a smooth projective variety. We consider two integral invariants, one of which is the level of the Hodge cohomology algebra $H^*(X,{\mathbb C})$ and the other involving the complexity of the higher Chow groups \${\rm…

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