Algebraic K-theory Reading Seminar
This is a reading group meeting with Professor Jeremiah Heller weekly.
| Fall 2023 | |||
|---|---|---|---|
| Date | Speaker | Topic | Reference |
| Aug. 29 | N/A | Organizational meeting | N/A |
| Sept. 5 | Introductory reading of K-theory | Weibel, The K-book, Ch. 1-2. | |
| Sept. 12 | |||
| Sept. 26 | |||
| Oct. 3 | Juhan Kim | The space $F\psi^q$ | Quillen, "On the Cohomology and K-Theory of the General Linear Groups Over a Finite Field" (1972) Mitchell, Notes on the K-theory of Finite Fields |
| Oct. 10 | Jiantong Liu | The Brauer lift | |
| Oct. 17 | Haoran Yin | Vanishing of the rational and mod-$p$ homology of $\textbf{BGL}\mathbb F_q$ | |
| Oct. 24 | Juhan Kim | Mod-$l$ homology | |
| Oct. 31 | Haoran Yin | Graded algebras and indecomposable elements | |
| Nov. 7 | Jiantong Liu | Quillen's detection theorem | |
| Nov. 14 | Juhan Kim | Mod-$2$ cohomology of $\textbf{GL}_2\mathbb F_q$ | |
| Nov. 24 | Haoran Yin | Quillen's theorem A and B | Quillen, Higher Algebraic K-theory: I (1972) |
| Nov. 26 | Jiantong Liu | Quillen's devissage theorem and localization theorem | |
| Nov. 28 | Suslin's rigidity theorem | Suslin, On the K-theory of Algebraically Closed Fields (1983) | |
| Dec. 5 | |||
| Spring 2024 | |||
| Date | Speaker | Topic | Reference |
| Jan. 26 | N/A | Organizational meeting | N/A |
| Feb. 2 | Jiantong Liu | $+=Q$ theorem | Grayson, Higher Algebraic K-theory: II (1976) |
| Feb. 9 | |||
| Feb. 16 | Haoran Yin | Waldhausen S-construction | Waldhausen, Algebraic K-theory of Spaces (1983) |
| Feb. 23 | Waldhausen additivity | ||
| Mar. 1 | |||
| Mar. 8 | Juhan Kim | Chow group and Bloch's formula | Quillen, Higher Algebraic K-theory: I (1972) |
| Mar. 29 | Levi Poon | Spectral categories and stable $\infty$-categories | Blumberg, Gepner, and Tabuada, A Universal Characterization of Higher Algebraic K-theory (2013) |
| Apr. 5 | Symmetric monoidal structure and dualizable objects | ||
| Apr. 12 | Timmy Feng | Morita theory | |
| Apr. 19 | Exact sequences, additivity | ||
| Apr. 26 | Levi Poon | Connective and non-connective K-theory | |