Wilson Poulter, Department of Pure Mathematics, University of Waterloo
"NIP II"
We finish up section 2.1 and begin section 2.2 of Simon's Guide to NIP theories.
MC 5413
Sylvie Davies, Department of Pure Mathematics, University of Waterloo
"Algebraic Approaches to State Complexity of Regular Operations"
Brett Nasserden, Department of Pure Mathematics, University of Waterloo
"The valuative tree at infinity"
To study the dynamics of a polynomial map on the complex affine plane we must be able to study the behavior of the mapping near the origin and near infinity. The study of the dynamics near a point leads to the notion of the valuative tree at the origin of the affine plane. To study the dynamics near infinity, we introduce a new but analogous object,the valuative tree at infinity, which will be the subject of this lecture.
MC 5403
Matthew Harrison-Trainor, Victoria University of Wellington
"Introcomputability"
Carlos Cabrelli, Universidad de Buenos Aires
"Recent Advances in Dynamical Sampling"
Steven Lazzaro, McMaster University
"NIP III"
We begin section 2.2 of Simon's Guide to NIP theories.
MC 5413
Fenglong You, University of Alberta
"Structures of relative Gromov-Witten theory"
Jeffrey Diller, University of Notre Dame
"A transcendental first dynamical degree"
Ertan Elma, Department of Pure Mathematics, University of Waterloo
"Discrete Mean Values of Dirichlet L-functions"
Let χ be a Dirichlet character modulo a prime number p ⩾ 3 and let \mathfrak a_χ:=(1-χ(-1))/2. Define the mean value
\begin{align*}
\mathcal{M}_{p}(s,\chi):=\frac{2}{p-1}\sum_{\substack{\psi \bmod p\\\psi(-1)=-1}}L(1,\psi)L(s,\chi\overline{\psi})
\end{align*}
for a complex number s such that s≠ 1 if \mathfrak a _χ=1.
Brett Nasserden, Department of Pure Mathematics, University of Waterloo
"Normal forms of dominant polynomial morphisms of the affine plane"