Department of Mathematics Calendar

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The Department of Mathematics is a bustling place full of new ideas. We host several events that occur throughout the year, including seminars, colloquium, conferences, and social events. Our seminars and colloquium are open to the public: all students, faculty, or alumni who are interested are welcome to join us for exciting talks on the leading edge of mathematics research!

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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
E-Mail
zah2@illinois.edu
Views
9

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.

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