Geometry and Topology

Faculty members involved

Adam Clay (link). The fundamental group of a 3-manifold is known to carry a considerable amount of geometric information, see for example this survey . In particular, actions of the fundamental group on ordered sets are known to be connected to foliations of the manifold, which are in turn connected to Heegaard-Floer homology, though neither connection is entirely understood. My work focuses on clarifying the former, namely the relationship between actions of the fundamental group on the real line or the circle, and foliations of the underlying manifold.

Derek Krepski's (link) research considers aspects of symplectic geometry that relate to geometric quantization, a construction that relates the mathematical formulations of classical and quantum mechanics. He is also interested in (smooth) groupoids and stacks and their use in studying topological questions about orbifolds, notably (symplectic) toric orbifolds, or other singular spaces.

News

MathCamp 2017 information is online.

Manitoba Workshop on Mathematical Imaging Science Friday, May 5, all day, Robert Schultz Lecture Theatre, details.

In an effort to help students, the Math department has put together the LevelUp program. See details here. Video explaining registration process is here.

Events

Thursday, May 4th, 2017 at 15:30, 418 Machray Hall
Tommy Kucera
Fibonacci and The Liber Abaci
(Seminar series : Colloquium)

Friday, May 12th, 2017 at 15:30, 418 Machray Hall
John Dallon
Modeling Amoeboidal Cell Motion -- Force vs Speed
(Seminar series : Colloquium)

Friday, August 4th, 2017 at 15:30, 418 Machray Hall
Jose Aguayo
TBA
(Seminar series : Colloquium)