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Tuesday, 11 June, 2019
Grigory Mikhalkin, Johannes Rau

To every rational complex curve C \subset (\mathbf{C}^\times)^n we associate a rational tropical curve \Gamma \subset \mathbf{R}^n so that the amoeba \mathcal{A}(C) \subset \mathbf{R}^n of C is...

arXiv:1906.04500
Monday, 3 June, 2019
Giulio Ciraolo, Alessio Figalli, Alberto Roncoroni

Given n \geq 2 and 1<p<n, we consider the critical p-Laplacian equation \Delta_p u + u^{p^*-1}=0, which corresponds to critical points of the Sobolev inequality. Exploiting the moving...

arXiv:1906.00622
Thursday, 30 May, 2019
Giovanni Felder, David Kazhdan, Alexander Polishchuk

The supermeasure whose integral is the genus g vacuum amplitude of superstring theory is potentially singular on the locus in the moduli space of supercurves where the corresponding even theta-...

arXiv:1905.12805
Wednesday, 29 May, 2019
Enea Di Dio, Ruth Durrer, Giuseppe Fanizza, Giovanni Marozzi

We investigate the weak lensing corrections to the CMB polarization anisotropies. We concentrate on the effect of rotation and show that the rotation of polarisation is a true physical effect...

Phys. Rev. D 100, 043508 (2019)
Tuesday, 28 May, 2019
Artur Avila, Giovanni Forni, Davide Ravotti, Corinna Ulcigrai

We consider irrational nilflows on any nilmanifold of step at least 2. We show that there exists a dense set of smooth time-changes such that any time-change in this class which is not...

arXiv:1905.11628
Thursday, 23 May, 2019
Marcos Marino, Tomas Reis

An important non-perturbative effect in quantum physics is the energy gap of superconductors, which is exponentially small in the coupling constant. A natural question is whether this effect can...

arXiv:1905.09569
Thursday, 23 May, 2019
Marcos Marino, Tomas Reis

We present a systematic procedure to extract the perturbative series for the ground state energy density in the Lieb-Liniger and Gaudin-Yang models, starting from the Bethe ansatz solution. This...

arXiv:1905.09575
Wednesday, 22 May, 2019
Andrea Manenti, Andreas Stergiou, Alessandro Vichi

We explore consequences of the Averaged Null Energy Condition (ANEC) for scaling dimensions \Delta of operators in four-dimensional \mathcal{N}=1 superconformal field theories. We show that in...

arXiv:1905.09293
Wednesday, 22 May, 2019
Jaiyul Yoo, Ermis Mitsou, Yves Dirian, Ruth Durrer

The background photon temperature \bar T is one of the fundamental cosmological parameters. Despite its significance, \bar T has never been allowed to vary in the data analysis, owing to the...

arXiv:1905.09288
Monday, 20 May, 2019
Alessio Figalli, Federico Glaudo

Given n≥3, consider the critical elliptic equation \Delta u + u^{2^*-1}=0 in \mathbb R^n with u>0. This equation corresponds to the Euler-Lagrange equation induced by the Sobolev embedding H^...

arXiv:1905.08203
Monday, 20 May, 2019
Alberto S. Cattaneo, Nima Moshayedi

These notes give an introduction to the mathematical framework of the Batalin-Vilkovisky and Batalin-Fradkin-Vilkovisky formalisms. Some of the presented content was given as a mini course by...

arXiv:1905.08047
Monday, 20 May, 2019
Jaiyul Yoo, Ermis Mitsou, Nastassia Grimm, Ruth Durrer, Alexandre Refregier

We develop a theoretical framework to describe the cosmological observables on the past light cone such as the luminosity distance, weak lensing, galaxy clustering, and the cosmic microwave...

arXiv:1905.08262

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