I am going to talk about triangulated categories in algebra,
geometry and physics and about differential-graded (DG)
enhancements of triangulated categories. I will discuss such
properties of DG enhancements as uniqueness and existing. It can
be...
I will present a recent joint work with Ya.G. Sinai. We
investigate the ``randomness" of the classical Möbius function by
means of a statistical mechanical model for square-free numbers and
we prove some new results, including a non-standard...
Let Gamma be a non-cocompact lattice on a right-angled building
X. Examples of such X include products of trees, or Bourdon's
building I_{p,q}, which has apartments hyperbolic planes tesselated
by right-angled p-gons and all vertex...