We will explore some counting problems for number fields in
which the conjectures formulated first by Malle and refined by
Bhargava play a central role. In the process we will see some
standard techniques in analytic number theory.
Combinatorial discrepancy asks the following question: Given a
ground set U and a collection S of subsets of U, how do we color
each element in U red or blue so that each subset in S has almost
an equal number of each color? A straightforward idea...
In this talk, we will discuss the computation of motivic stable
homotopy groups and their applications in classical computations.
Specifically, we will discuss an example of complex motivic
applications in classical theory, the Adams spectral...
The goal of this talk is to present two problems related to
wandering domains. I will define
the participating objects, and give a
historical overview of what was done and what is left to do
to solve these problems.
