Despite the fact that the 3-body problem is an ancient conundrum
that goes back to Newton, it is remarkably poorly understood, and
is still a benchmark for modern developments. In this talk, I will
give a (very) biased account of this classical...
The honest answer to the question is that I actually do not
know. I will therefore rather talk about several famous examples
that are widely called "h-principle results" and try to explain
some of the ideas behind the ones I am most familiar with.
Given the current knowledge of complex representations of finite
simple groups, obtaining good upper bounds for their characters
values is still a difficult problem, a satisfactory solution of
which would have significant implications in a number of...
Earlier this semester we heard a fascinating talk by James Stone
describing how the equations of compressible magnetohydrodynamics
(MHD) can help us understand the Cosmos. Today we will return to
Earth and describe a mathematical model, derived from...
