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: If X is a projective variety defined over a number field and M is a complex relatively compact Riemann surface contained in it, Bombieri and Pila estimate the number of rational points conta...
Abstract: The Reeb graph R(f) of a C^1-function f from M to the real numbers with isolated critical points is a quotient object by the identification of connected components of function levels which h...
Abstract: Endothelial cells in the cardiovascular system experience cyclic stretching due to pulsatile blood flow, leading to orientation changes that are crucial in vascular remodeling and related pa...
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: In joint work with Guo, Nguyen, and Sun, we extend results of Corvaja–Zannier, Turchet and Capuano-Turchet to establish cases of the Lang-Vojta Conjecture for varieties of log general type t...
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 ...
