Events

Ross Willard, Department of Pure Mathematics, University of Waterloo

"An introduction to finite basis problems"

To get us started this term, I will describe some known instances of the finite basis problem in universal algebra, and one unknown instance that is currently bugging me: “Murskii + L'vov.”  This will be an elementary lecture, intended as a warm-up for Justin’s lectures later this month.

MC 5413

Ajneet Dhillon, University of Western Ontario

"Tamagawa numbers and connected components of stacks"

Let X be a smooth projective curve over a finite field and $G$ a semisimple algebraic group over its function field. Let $\mathcal{G}$ be a smooth group scheme over X with generic fiber $G$. The Tamagawa number of $G$ is an arithmetic invariant obtained from a Haar measure on the adelic points of $G$. A conjecture of Harder relates this number to the number of components of the moduli stack of $\mathcal{G}$-bundles.

Ping Zhong, Department of Pure Mathematics, University of Waterloo

"Estimates for compression norms and additivity violation in quantum information"

Rekha Biswal, Université Laval

"Demazure flags, Chebyshev polynomials and mock theta functions"

Sascha Troscheit, Department of Pure Mathematics, University of Waterloo

"Branching Processes, Martingales, Kingman’s Subadditive Ergodic Theorem, and some applications, Part II: The almost sure number of descendants and finer information, such as expected deviations from the average behaviour and `immigration'"

Andrei Krokhin, Durham University

"The complexity of valued constraint satisfaction problems"

Karen Yeats, Department of Combinatorics & Optimization, University of Waterloo

"Chord diagram expansions in quantum field theory"

Over the last few years we have been able to re-expand certain series in perturbative quantum field theory using chord diagrams.  These new expansions have nice mathematical structure.  I will give an overview on them and how they can be useful.

MC 5501

Diana Castaneda Santos, Department of Pure Mathematics, University of Waterloo

"Review (Episode 3)"

We will continue our review of schemes. We will mention some examples of schemes that are not affine schemes. We will review the proj construction, and more topological properties of schemes. If time permits we'll define morphisms of schemes.

MC 5413

Levon Haykazyan, Department of Pure Mathematics, University of Waterloo

"Introduction to Positive Logic"