In the solar system as elsewhere, we learn most from the
unexpected. I will describe three recent observational projects
challenging existing ideas about solar system objects, and
provoking new ones. The freaks are an interstellar object
(‘Oumuamua)...
For a weighted homogeneous polynomial and a choice of a diagonal
symmetry group, we define a new Fukaya category based on wrapped
Fukaya category of its Milnor fiber together with monodromy
information. It is analogous to the variation operator in...
In conformal field theory, in contrast to gapped theories, S-matrix
is not well-defined. Similarly, various inclusive observables which
make sense in a gapped theory, such as "energy squared"
calorimeters, suffer from IR divergences in CFTs. Using...
Turbulence is ubiquitous in astrophysical media and plays an
essential role in a variety of fundamental astrophysical processes.
The turbulent power-law spectra have been observed in the solar
wind, the interstellar medium, the intracluster medium...
In this second talk about Broué’s Abelian Defect Group Conjecture,
we will explain its geometric version in the case of finite groups
of Lie type: the equivalence should be induced by the cohomology
complex of Deligne-Lusztig varieties. This was...
