Adam Humeniuk, Department of Pure Mathematics, University of Waterloo
"Dilation methods in semigroup dynamics and noncommutative convexity"
Austin Sun, Department of Pure Mathematics, University of Waterloo
"On the Dynamical Wilf-Zeilberger Problem"
Changho Han, Department of Pure Mathematics, University of Waterloo
"Compact Moduli of K3 surfaces with a given nonsymplectic cyclic action"
Nicholas Manor, Department of Pure Mathematics, University of Waterloo
"Quantum Channels, Exactness, and Noncommutative Convexity"
Nicholas Manor, Department of Pure Mathematics, University of Waterloo
"Nonunital Operator Systems and Noncommutative Convexity"
The recent work on nc (noncommutative) convex sets of Davidson-Kennedy and Kennedy-Shamovich show that there is a rich duality between the category of operator systems and the category of compact nc convex sets, leading to new insights even in the case of C*-algebras.
Clement Wan, Department of Pure Mathematics, University of Waterloo
"Are pseudovarieties the finite models of a set of equations?"
Eric Boulter, Department of Pure Mathematics, University of Waterloo
"The Spectral Construction for Vector Bundles on Elliptic Surfaces"
In general, we have a much better understanding of vector bundles on curves than on surfaces. In this talk we will look at a particular type of surface where the problem of classifying vector bundles can be partially reduced to the case of curves.
This seminar will be held jointly online and in person:
Talk #1 (9:30am - 10:45am): Amanda Petcu, Department of Pure Mathematics, University of Waterloo
“Isometric Immersion part 4”
This talk will bring an end to our series on isometric immersions. We will define a totally geodesic immersion and a minimal submanifold. To finish we will introduce and prove the three fundamental equations: Gauss' equation, Ricci's equation, and Codazzi's equation.
Talk #2 (11:00am - 12:15pm): Spiro Karigiannis, Department of Pure Mathematics, University of Waterloo
Sean Monahan, Department of Pure Mathematics, University of Waterloo
"A GIT construction for horospherical varieties"
David Cox developed a way of writing a given toric variety as a good quotient of a quasiaffine toric variety by a diagonalizable group. This construction has a very nice interpretation using the combinatorics of the toric varieties, i.e. their fans. I will give an outline of this construction through an example, and we will see how it can be generalized to horospherical varieties.
Talk #1 (9:30am-10:45am): Paul Mcauley, Department of Pure Mathematics, University of Waterloo
"Vertical and Horizontal Spaces"
For a given Riemannian manifold (M,g), a vector bundle E over M, we can define the vertical space VE which is a submanifold of TE. Given a connection on E we can then define the horizontal space HE which is a submanifold of TE. These spaces give us a fibre metric on TE and then we can look at the Levi-Civita connection in terms of these vertical and horizontal spaces.