Homotopy/Homology, Model categories, Topos theory, and simPlicial, Infinity-, and dErived things Student Seminar
| Meeting Time | Fridays, 11am-12pm |
| Meeting Place | Malott 310D |
This is the webpage for HoMoToPIESS, an informal seminar for homotopically-minded graduate students at Cornell. The organizers are Chase Vogeli and Kimball Strong.
This semester’s topic is algebraic \(K\)-theory. Some references for the material we will discuss include:
- Quillen, On the cohomology and \(K\)-theory of the general linear groups over a finite field
- Weibel, The \(K\)-book: an introduction to algebraic \(K\)-theory
- Waldhausen, Algebraic \(K\)-theory of spaces
- Zakharevich, The annihilator of the Lefschetz motive
Fall 2024 Schedule
| Date | Speaker | Topic | Reference |
|---|---|---|---|
| August 30 | Organizational meeting | ||
| September 6 | Chase | Survey of \(K\)-theory | Weibel II.2, II.7, II.9, III.1 |
| September 13 | Isaac | Topological \(K\)-theory | |
| September 20 | Riccardo | Quillen’s +-construction | Weibel IV.1 |
| September 27 | Guanyu | \(K\)-theory of finite fields | Quillen, Weibel IV.1.12-13 |
| October 4 | Chase | \(K\)-theory of \(\mathbb{Z}\) | Weibel VI.10 |
| October 11 | No talk | ||
| October 18 | Thea | Waldhausen \(K\)-theory I | Waldhausen, Weibel II.9, IV.8 |
| October 25 | Kimball | Waldhausen \(K\)-theory II | Waldhausen, Weibel II.9, IV.8 |
| November 1 | Chase | Group completion | Weibel IV.4 |
| November 8 | Guanyu | Comparison of constructions | Weibel IV.7, Waldhausen 1.9 |
| November 15 | Isaac | Trace methods I | |
| November 22 | Chase | Trace methods II | |
| November 29 | Thanksgiving break | ||
| December 6 | Kimball | Universal property |