Energy conditions in quantum theory and gravity
Classical energy conditions were introduced as a means of codifying generic properties of matter in general relativity. They play key roles in the singularity theorems of Hawking and Penrose and in many other results of mathematical relativity. However, not all models of classical matter obey the pointwise energy conditions, and quantum fields cannot obey any of them.
Workshop on Diophantine approximation and related fields: York 2017
The aim of this workshop is to create a fruitful environment for collaboration and exchange of ideas between researchers working in Diophantine approximation and various related fields, in particular, homogeneous dynamics, the geometry of numbers, analytic and additive number theory and geometric measure theory. The workshop will be held at the University of York (UK) during the week 26 to 30 June 2017.