Shapes

Welcome to Pure Mathematics

We are home to 30 faculty, four staff, approximately 60 graduate students, several research visitors, and numerous undergraduate students. We offer exciting and challenging programs leading to BMath, MMath and PhD degrees. We nurture a very active research environment and are intensely devoted to both ground-breaking research and excellent teaching.


News

Events

Thursday, May 15, 2025 1:00 pm - 2:15 pm EDT (GMT -04:00)

Differential Geometry Working Seminar

Justin Fus, University of À¶Ý®ÊÓÆµ

The KKS Form and Symplectic Geometry of Coadjoint Orbits

A compact Lie group acts on its Lie algebra dual via the coadjoint representation. In this talk, we will explore how the coadjoint orbits of this representation carry a natural symplectic structure called the Kirillov-Kostant-Souriau (KKS) form. The KKS form is preserved by the action. If time permits, we will show that there is a moment map for the action that coincides with the inclusion map of the orbit. A worked example for SU(2) will be performed.

MC 5403

Thursday, May 15, 2025 2:30 pm - 3:45 pm EDT (GMT -04:00)

Differential Geometry Working Seminar

Facundo Camano, University of À¶Ý®ÊÓÆµ

Convergence Results for Taub-NUT and Eguchi-Hanson spaces

We define multi-Taub-NUT and multi-Eguchi-Hanson spaces and look at Gromov-Hausdorff convergences involving these spaces.

MC 5403

Friday, May 16, 2025 11:00 am - 12:00 pm EDT (GMT -04:00)

Algebraic geometry working seminar

Jiahui Huang, University of À¶Ý®ÊÓÆµ

Motivic integration for schemes, DM stacks, and Artin stacks.

We give an overview of motivic integration and its generalization to stacks. Early motivations for motivic integration involve singularity theory and the monodromy conjecture. We will explain how the change of variable formula works, and how it generalizes to the stack case. Motivic integration for stacks will use twisted or warped arcs, and we shall give a summary of the construction of the twisted arc space for DM stacks.

MC 5403