Events - July 2021

Padraig Daly, Department of Pure Mathematics, University of Waterloo

"Quantum Superchannels"

Max Chemtov, Department of Pure Mathematics, University of Waterloo

"Subalgebras of so(7) Induced by the Coassociative 4-Form on R^7"

Consider the 2-forms on R^7 resulting from evaluating the coassociative 4-form on two vectors. It turns out that, when such vectors are restricted to an associative 3-plane P, these 2-forms along with those in Λ^2(P) give a subalgebra of so(7) isomorphic to so(3) ♁ so(3). After giving some brief context, we will discuss this fact and characterize the intersections of such subalgebras for different choices of P.

Adina Goldberg, Department of Pure Mathematics, University of Waterloo

"Quantum Arrows"

Spiro Karigiannis, Department of Pure Mathematics, University of Waterloo

"Metric compatible connections in dimension 3"

Sean Monahan, Department of Pure Mathematics, University of Waterloo

"Divisors on toric varieties"

I will continue from the last few talks on divisors by highlighting some important features of the toric case. The focus will be on torus invariant divisors and tools for computing the class group and Picard group of toric varieties.

Zoom meeting:

• Meeting ID: 811 2094 8164
• Passcode: 033003

Daren Cheng, Department of Pure Mathematics, University of Waterloo

"The second variation of area of minimal surfaces in four-manifolds"

Daniel Perales Anaya, Department of Pure Mathematics, University of Waterloo

"On the anti-commutator of two free random variables"

Spencer Gao, Department of Pure Mathematics, University of Waterloo

"Representation of General Linear Group over Finite Field"

This talk aims at discussing the techniques used in finding all the irreducible representations of general linear groups over finite fields. A brief overview of representation theory is also provided, but no such overview is provided for group theory and field theory.