Jacob Campbell, Department of Pure Mathematics, University of Waterloo
Jake Zimmermann Simmons, Department of Pure Mathematics, University of Waterloo
"The First Steps in Universal Algebra; A Generalization of Objects That We Take For Granted"
This talk will be an introduction to some basic concepts in universal algebra, including congruences, general homomorphisms, lattices, and the congruence lattice of an algebra. We will start with the general definition of an algebra and explore some examples. Given time, we will discuss products and subdirect embeddings, which are among the most important ideas in universal algebra.
Parham Hamidi, Department of Pure Mathematics, University of Waterloo
"A whole new dimension!"
So far we have explored various aspects of schemes (through space-time!) without talking about some of the most fundamental notions in algebraic geometry. As we approach the end of our seminar ("cries"), we discuss what we mean by dimension of schemes. Even though the definition may seem a subtle one, we will see that it agrees with and generalizes our intuition from the classical algebraic geometry.
MC 5417
Jitendra Prakash, Pure Mathematics, University of Waterloo
"Tsirelson's problems and entanglement breaking rank"
Satish Pandey, Pure Mathematics, University of Waterloo
"Symmetrically-Normed Ideals and Characterizations of Absolutely Norming Operators"
Justin Toth, Combinatorics and Optimization
"Using Linear Algebra to do Matching Theory"
Boyu Li, Pure Mathematics, University of Waterloo
"Regular Dilation on Semigroups"
Adam Humeniuk, Pure Mathematics, University of Waterloo
"Existence of the C*-envelope"
In 1969, Arveson defined the C*-envelope of an operator algebra or operator system as a universal quotient amongst all C*-algebras which contain it. He left the existence of the C*-envelope as an open problem. In a whirlwind tour of my Master's research paper, I'll discuss the diverse tools used to prove its existence in the intervening decades.
Jeremy Nicholson, Pure Mathematics, University of Waterloo
"The Frobenius Problem and Combinatorics on Words"
Dan Ursu, Pure Mathematics, University of Waterloo
"C*-simplicity of discrete groups"