K-theory of finite fields

The goal of this seminar is to study Quillen's computation of the algebraic K-theory of finite fields. This makes use of various topological and algebraic tools from homological algebra, simplicial homotopy theory, topological K-theory and group cohomology. These tools will be reviewed in as much detail as possible and depending on the audience's prior knowledge.

• Organizers: Giacomo Bertizzolo and George Raptis.
• When: Thursday 10-12, Summer Semester 2024.
• Where: PHY 9.1.09 (Physics Department).
• Zoom: If there is a request, and the speakers agree, the seminar can be streamed on zoom.

The schedule is finally available here and on Grips. Please write me an e-mail if you are planning to attend the seminar or have any questions.

Prerequisites: Basic background knowledge of algebraic topology and homological algebra will be assumed. While no prior knowledge of algebraic K-theory or group cohomology is required, some basic familiarity with these areas, perhaps gained from courses in the recent winter semester, would be desirable.

Literature:

• Quillen - On the Cohomology and K-Theory of the General Linear Groups Over a Finite Field
• Quillen - Higher Algebraic K-theory: I
• Srinivas - Algebraic K-theory
• Weibel - The K-book
• Mitchell - Notes on the K-theory of finite fields
• Hebestreit - Notes for Algebraic and Hermitian K-Theory

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