Rachael Alvir, Department of Pure Mathematics, University of Waterloo
"Reverse Math I"
In this talk, we will give a preliminary introduction to reverse mathematics. We will be working from a recent book by Damir Dzhafarov and Carl Mummert.
MC 5403
J.C. Saunders, Middle Tennessee State University
"Primes and composites in the determinant Hosoya triangle"
Talk #1: Sourabhashis Das, Department of Pure Mathematics, University of Waterloo
"On the number of irreducible factors with a given multiplicity in function fields"
Dongshu Dai, Department of Pure Mathematics, University of Waterloo
"The global loop space"
We will continue with section 3 of Kapranov and Vasserot's paper.
MC 5403
Padraig Daly, Department of Pure Mathematics, University of Waterloo
"Quantum superchannels on the space of quantum channels"
Quantum channels, defined as completely-positive and trace-preserving maps on matrix algebras, are an important object in quantum information theory. In this thesis we are concerned with the space of these channels. This is motivated by the study of quantum superchannels, which are maps whose input and output are quantum channels.
David Chodounsky, Institute of Mathematics of the Czech Academy of Sciences
"Countable chromatic number of definable graphs via games"
We define games which characterize countable coloring numbers of analytic graphs on Polish spaces. These games can provide simple verification of the countable chromatic number of certain graphs. (Eg. the rational distance graph on the Euclidean plane.) Joint work with Jindrich Zapletal.
MC 5403
Francisco Villacis, Department of Pure Mathematics, University of Waterloo
"An Introduction to GIT Quotients"
Ada Chan, York University
"Complex Hadamard matrices and association schemes, Part 1"
Complex Hadamard matrices and spin models are special cases of type-II matrices. In the 1980s, Vaughan Jones used spin models to construct link invariants and representations of braid groups. The term type II was coined after the second Reidemeister move of link diagrams. In 1990s, Jaeger and Nomura discovered the surprising connection of spin models and association schemes.
Rahim Moosa, Department of Pure Mathematics, University of Waterloo
"Restricted Zilber Trichotomy"
We will be reading Ben Castle’s paper.
MC 4060
Ada Chan, York University
"Complex Hadamard matrices and association schemes, Part 2"
This will be a continuation of Wednesday's lecture. We will discuss the properties of the association schemes of Hadamard graphs and their associated spin models.
MC 5403