Given a path-connected topological space X, a differential
graded (DG) local system (or derived local system) is a module over
the DGA of chains on the based loop space of X. I will explain how
to define in the symplectically aspherical case...
Superradiant instabilities may create clouds of ultralight
bosons around rotating black holes, forming so-called
"gravitational atoms". In this talk, I will review a series of
papers that study the effects of a binary companion’s presence.
The...
In the third talk, I will concentrate on inequalities for linear
extensionsof finite posets. I will start with several
inequalities which do have a combinatorial proof. I will then
turn to Stanley's inequality and outline the proof why its
defect...
The Arithmetic Quantum Unique Ergodicity (AQUE) conjecture
predicts that the L2 mass of Hecke-Maass cusp forms on an
arithmetic hyperbolic manifold becomes equidistributed as the
Laplace eigenvalue grows. If the underlying manifold is
non-compact...
In the second talk, I will concentrate on polynomial
inequalities and whether the defect (the difference of two sides)
has a combinatorial interpretation. For example, does the
inequality x2+y2≥2xy