Contact Info
Pure MathematicsUniversity of Waterloo
200 University Avenue West
Waterloo, Ontario, Canada
N2L 3G1
Departmental office: MC 5304
Phone: 519 888 4567 x43484
Fax: 519 725 0160
Email: puremath@uwaterloo.ca
Tuesday, August 23, 2022 1:30 PM EDT
Catherine St-Pierre, University of Waterloo
"Borel fixed Ideals (in Krull dimension 0)"
Friday, August 19, 2022 2:30 PM EDT
Jeremy Usatine, Brown University
"Gromov-Witten theory and invariants of matroids"
Wednesday, August 17, 2022 9:30 AM EDT
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.
Tuesday, August 16, 2022 1:30 PM EDT
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.
Wednesday, August 10, 2022 9:30 AM EDT
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
Tuesday, August 9, 2022 1:30 PM EDT
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:
Monday, August 8, 2022 1:30 PM EDT
Clement Wan, Department of Pure Mathematics, University of Waterloo
"Are pseudovarieties the finite models of a set of equations?"
Friday, August 5, 2022 10:00 AM EDT
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.
Thursday, August 4, 2022 10:00 AM EDT
Nicholas Manor, Department of Pure Mathematics, University of Waterloo
"Quantum Channels, Exactness, and Noncommutative Convexity"