Events

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.

Jeremy Usatine, Brown University

"Gromov-Witten theory and invariants of matroids"

Catherine St-Pierre, University of Waterloo

"Borel fixed Ideals (in Krull dimension 0)"

Sang-Gyun Youn, Seoul National University

"Information-theoretic analysis of covariant quantum channels"

Claude LeBrun, Stony Brook University

"Four-Manifolds, Conformal Curvature, and Differential Topology"

Kevin Hare, Department of Pure Mathematics, University of Waterloo

"Matrix based number system"

Most number systems are of the form $a_k d^k + a_{k-1} d^{k-1} + … + a_0$ where the $a_i$ are taken from a finite set of digits, and $d$ is the base of the number system.

In this talk we will discuss what happens if $d$ is taken to be a $n \times n$ Jordan block and $a_i$ are taken to be vectors.

Xingchi Ruan, Department of Pure Mathematics, University of Waterloo

"On the Solubility of Diophantine Systems"

**Note: change of meeting time - this seminar will be held from 12:30-1:30 pm.**

Michael Albanese, Department of Pure Mathematics, University of Waterloo

"The Kodaira-Enriques Classification of Surfaces"

I will give a brief overview of the classification of compact complex surfaces and mention some related results. 

This seminar will be held jointly online and in person:

• Room: MC 5403
• Zoom information: Meeting ID: 817 1030 9714; Passcode: 063438

Paul Cusson, Department of Pure Mathematics, University of Waterloo

"Infinite Flag Manifolds and Vector Bundle Filtrations"

Rachael Alvir, Department of Pure Mathematics, University of Waterloo

"Scott Complexity"