Embedded Files
Fall 2026
Time: Thursday 1:00 pm -2:30 pm
Location: Classroom Building CL 251
The topic for our learning seminar is topological K-theory.
Zoom Link: https://uregina-ca.zoom.us/j/97896109097?pwd=RkI2UkZsMlYyZTBzejhEY1R4RCt4Zz09
September 10: Martin Frankland
September 10: Martin Frankland
Title: Introduction to topological K-theory
Abstract: Topological K-theory is an invariant of spaces based on vector bundles. We will review vector bundles and their representability by Grassmannians. We will then introduce the group K^0(X), which measures to what extent vector bundles on X can be non-trivial. Finally, Bott periodicity will allow us to extend the group K^0(X) to a cohomology theory.
September 17: Martin Frankland
September 17: Martin Frankland
Title: Introduction to topological K-theory, part 2
Abstract: In this second part, we will further discuss Stiefel manifolds and Grassmannians, as well as stabilization of vector bundles. Next, we will introduce the group K^0(X) along with its reduced version, and compute some examples. Time permitting, we will use Bott periodicity to extend the group K^0(X) to a cohomology theory.
September 24: TBA
September 24: TBA
Title: TBA
Abstract: TBA
October 1: Shubhrojyoti Dhara
October 1: Shubhrojyoti Dhara
Title: The Chern character
Abstract: TBA
October 8: Shashen Gounden
October 8: Shashen Gounden
Title: The Serre-Swan theorem
Abstract: TBA
October 15: Safarul Rasheed
October 15: Safarul Rasheed
Title: Adams operations
Abstract: TBA
October 22: TBA
October 22: TBA
Title: TBA
Abstract: TBA
October 29: TBA
October 29: TBA
Title: TBA
Abstract: TBA
November 5: TBA
November 5: TBA
Title: TBA
Abstract: TBA
November 19: TBA
November 19: TBA
Title: TBA
Abstract: TBA
November 26: TBA
November 26: TBA
Title: TBA
Abstract: TBA
December 3: TBA
December 3: TBA
Title: TBA
Abstract: TBA
We gratefully acknowledge that this seminar is supported by the Pacific Institute for the Mathematical Sciences.
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