Events and Activities

In quantum complexity theory, QMA and QCMA represent two different generalizations of NP. Both are defined as sets of languages whose Yes instances can be efficiently checked by a quantum verifier that is given a witness. With QMA the witness can be...

Abstract: The detection of Gravitational Waves (GWs) from binary black hole coalescences offers a powerful tool for exploring the strong-field regime of General Relativity (GR). To ensure the reliability of these tests, it is essential to identify...

We travel the years in order to understand the relationship between Nilpotency and Riemannian geometry: including Gromov's almost flat theorem for manifolds with bounded curvature and Fukaya-Yamaguchi's almost nilpotency of spaces with lower...

Abstract: String theory offers a unique perspective on concrete questions about the nature of quantum gravity. I will review how such questions can be formulated in terms of the string theory S-matrix at high energies. Attempts to sharpen the S...

An evolving surface is a mean curvature flow if the normal component of its velocity field is given by the mean curvature. First introduced in the physics literature in the 1950s, the mean curvature flow equation has been studied intensely by...

New results on quantum tunneling between deep potential wells, in the presence of a strong constant magnetic field are presented. This includes a family of double well potentials containing examples for which the low-energy eigenvalue splitting...

A d-dimensional framework is a pair $(G, \vec{p})$ consisting of a finite simple graph $G$ and an embedding $\vec{p}$ of its vertices in $\mathbb{R}^d$. A framework is called rigid if every continuous motion of the vertices in ${\mathbb R}^d$ that...