Ben Webster, Department of Pure Mathematics, University of Waterloo
"Vertex algebras, arcs and loops, part 2"
I'll continue with vertex algebras, with an eye to how they arise in algebraic geometry through arc and loop spaces.
MC 5403
Ravi Mudaliar, Department of Pure Mathematics, University of Waterloo
"A Categorical Equivalence between Compact Connected Riemann Surfaces and Function Fields in 1 variable"
Sean Monahan, Department of Pure Mathematics, University of Waterloo
"Coloured fantastacks"
Rahim Moosa, Department of Pure Mathematics, University of Waterloo
"Restricted Zilber Trichotomy"
We will be reading Ben Castle's paper.
MC 5479
Francisco Villacis, Department of Pure Mathematics, University of Waterloo
"An Introduction to Schemes"
The goal of this talk is to present an overview of Section II.2 of Hartshorne. In particular, I will introduce our main objects of study for this seminar: schemes. I will define what these objects are and study some examples of schemes. If time permits, the second half of the seminar will be devoted to solving some problems from this section of Hartshorne.
MC 5403
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.