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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.

Ryan Clemmer and Sarah DeDecker, University of Guelph

"Designing Assessments to Encourage Problem Analysis"

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

Adina Goldberg, Department of Pure Mathematics, University of Waterloo

"Quantum Arrows"

Nolan Pyott, Department of Pure Mathematics, University of Waterloo

"Counting Primes using Seldberg's Sieve"

Spiro Karigiannis, Department of Pure Mathematics, University of Waterloo

"Metric compatible connections in dimension 3"

Ruxandra Moraru, Department of Pure Mathematics, University of Waterloo

"Divisors and line bundles, Part III"

In this week's talk, we finally describe the relationship between divisors and line bundles on complex varieties, illustrating it with some explicit examples.

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"

Nick Manor, Department of Pure Mathematics, University of Waterloo

"Nonunital operator systems and noncommutative convexity"

Ruxandra Moraru, Department of Pure Mathematics, University of Waterloo

"Divisors and line bundles, Part II"

This week, we finish the discussion we started last week on the relationship between divisors and line bundles on complex varieties. We also describe the divisor class groups and the Picard groups of toric varieties.

The seminar will meet on Zoom:

• Meeting ID: 811 2094 8164
• Passcode: 033003