Reading group on Higher Algebraic K-theory
The goal of this reading group is to introduce the theory of higher algebraic K-theory both through Waldhausen's S-dot construction and Quillen's Q-construction, and understanding the connection between these, aswell as proving some of the fundemental theorems in algebraic K-theory.
We will meet Wednesday at 2-4pm during term 2, in B.3.01. Here is an overview of the talks, and a more detailed description.
Date | Talk | Speaker | Notes |
Jan 12 | Introduction | Julie Rasmusen | Talk 1 |
Jan 19 | Waldhausen S-dot construction | Thomas Read | Talk 2 |
Jan 26 | Additivity theorem | David Tintinago Pinzon | Talk 3 |
Feb 2 | Consequences of the additivity theorem I | Daniel Marlowe | Talk 4 |
Feb 9 | Consequences of the additivity theorem II | Hannah MacDermott | Talk 5 |
Feb 16 | Quillen's Q-construction | Dhruva Divate | |
Feb 23 | Monoidal categories and localization | Daniel Marlowe | Talk 7 |
Mar 2 | A quasifibration in localization | Julie Rasmusen | Talk 8 |
Mar 9 | K-theory through localization | David Tintinago Pinzon | Talk 9 |
Mar 16 | The K-theory of stable $\infty$-categories | Julie Rasmusen | Talk 10 |