Graduate Student Homotopy Theory Seminar
- Event Type
- Seminar/Symposium
- Sponsor
- Department of Mathematics
- Location
- Altgeld Hall 345
- Date
- Sep 23, 2022 3:00 pm
- Speaker
- Yigal Kamel
- Contact
- Zachary Halladay
- zah2@illinois.edu
- Views
- 25
Power operations in K-theory
Cohomology theories are invariants of spaces that are relatively computable while retaining much of the structure of a space. When a ring structure is present, some topological information is detected via the multiplication operation alone. Power operations are additional algebraic structures that a cohomology theory might have, and they have a particularly neat description in K-theory through an equivariant perspective. After a brief overview of cohomology operations and power operations in general, I will introduce equivariant K-theory, and use it to describe the power operations in K-theory. If there is time, I will try to address relationships with operations in other cohomology theories, as well as the relationship between power operations and spectra.