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 ...
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...
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...
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...
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...
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...
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 ...
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...
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...
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...