Martijn Caspers, Utrecht University
“Absence of Cartan subalgebras for right angled Hecke von Neumann algebras.”
Ben Webster, University of Virginia
“Representation theory of symplectic singularities”
Karen Yeats, Combinatorics and Optimization, University of Waterloo
“An arithmetic graph invariant with applications in quantum field theory.”
Shubham Dwivedi, Pure Mathematics, University of Waterloo
"Minimal Varieties in Riemannian Manifolds - Part I"
Mohammad Mahmoud, Pure Mathematics, University of Waterloo
"Existentially-atomic models"
We will talk about "Existentially atomic" and "Existentially algebraic" structures. We will give some examples and will show that being existentially algebraic implies being existentially atomic. As a particular example, we will prove a necessary and sufficient condition for a linear ordering to be existentially atomic.
Shubham Dwivedi, Pure Mathematics, University of Waterloo
"Minimal Varieties in Riemannian Manifolds - Part II"
Anthony McCormick, Pure Mathematics, University of Waterloo
"Algebraic Groups"
Ghaith Hiary, Ohio State University
“Computing quadratic Dirichlet L-functions”
An algorithm to compute Dirichlet L-functions for many quadratic characters is derived. The algorithm is optimal (up to logarithmic factors) provided that the conductors of the characters under consideration span a dyadic window.
Hongdi Huang, Pure Mathematics, University of Waterloo
"On *-clean group algebras"
A ring $R$ is called a $*$-ring (or a ring with involution $*$) if there exists an operation $*$: $R \rightarrow R$ such that $(x+y)^*=x^*+y^*, \,\ (xy)^*=y^*x^* \,\ $ and $(x^*)^*=x$,
for all $x, y\in R$. An element in a ring $R$ is called $*$-clean if it is the sum of a unit and a projection ($*$-invariant idempotent). A $*$-ring is called $*$-clean if each of its elements is the sum of a unit and a projection.
Tyrone Ghaswala, Department of Pure Mathematics, University of Waterloo
"Mapping class groups, coverings, braids and groupoids"
Suppose you are handed a finite sheeted (possibly branched) covering space between closed 2-manifolds by an eccentric mathematician. A natural question to ask is what is the relationship between the mapping class group of the covering surface and the mapping class group of the base surface?