Top-level heading

Phase-field approximation of sharp-interface energies accounting for lattice symmetry

The talk concerns a phase field approximation for sharp interface energies, defined on partitions, as appropriate for modeling grain boundaries in polycrystals. The label takes value in O(d)/G, where ...

Shedding light on black holes

Abstract: Black holes are the most striking predictions of General Relativity and are by now understood to be fundamental objects in our universe. In this talk, I will provide an overview of their mat...

An explicit class of Lagrangian surfaces

Abstract: Given a 2n-dimensional smooth complex variety equipped with a non-degenerate holomorphic 2-form, an n-dimensional subvariety is called Lagrangian if the form vanishes identically on it. Lagr...

Structure, cohomology and deformations of local homogeneous Poisson brackets of arbitrary degree

Abstract: Dubrovin and Novikov initiated the study of local homogeneous differential-geometric Poisson brackets of arbitrary degree k in their seminal 1984 paper. Despite many efforts, and several res...

Chaos and integrability in open and driven quantum many-body systems

Abstract: The course will be on recent developments in open quantum many-body systems and dynamics of driven (Floquet) lattice systems and it will be divided into four lectures. Fourth lecture. I will...

Rigidity results for the capillary overdetermined problem

Abstract: In this talk we will discuss some rigidity results for bounded positive solutions of the general capillary overdetermined problem: div(∇u√1+|∇u|2)+f(u)=0div(∇u1+|∇u|2)+f(u)=0 in ΩΩ, u=0u=0 o...

Chaos and integrability in open and driven quantum many-body systems

Abstract: The course will be on recent developments in open quantum many-body systems and dynamics of driven (Floquet) lattice systems and it will be divided into four lectures. Third lecture. I will ...

The R-matrix for affine Yangians

Abstract: The theory of Yangians was introduced by Drinfeld in the 1980s as a systematic approach to solving the Yang-Baxter equation: every irreducible finite-dimensional representation is equipped w...

Chaos and integrability in open and driven quantum many-body systems

Abstract: The course will be on recent developments in open quantum many-body systems and dynamics of driven (Floquet) lattice systems and it will be divided into four lectures. Second lecture. I will...

Logarithmically correlated fields from non-Hermitian random matrices

Abstract: We study the Brownian evolution of large non-Hermitian matrices and show that their log-determinant converges to a 2+1 dimensional Gaussian field in the Edwards-Wilkinson regularity class, i...
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