Algebraic Morava K-theory
This mini-course focuses on Quillen's approach to cobordism theories and the adaptation of these ideas in the context of algebraic geometry. We will discuss how formal group laws are related to generalized cohomology theories, stack of formal groups and Morava K-theories.
讲师
Andrei Lavrenov
日期
2023年08月28日 至 09月11日
位置
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| 周一 | 13:30 - 15:05 | A3-4-101 | ZOOM 02 | 518 868 7656 | BIMSA |
修课要求
Algebraic topology, algebraic geometry
参考资料
D. Quillen, "Elementary proofs of some results of cobordism theory using Steenrod operations", Advances in Mathematics 7:1 (1971) 29-56.
D. Ravenel, "Complex cobordism and stable homotopy groups of spheres", Academic Press Orland (1986) reprinted as: AMS Chelsea Publishing 347 (2004).
M. Levine, F. Morel, "Algebraic Cobordism", Springer Monographs in Mathematics, Springer-Verlag Berlin Heidelberg (2007).
A. Vishik, "Stable and unstable operations in algebraic cobordism", Annales Scientifiques de l'Ecole Normale Superieure 52:3 (2019) 561-630.
D. Ravenel, "Complex cobordism and stable homotopy groups of spheres", Academic Press Orland (1986) reprinted as: AMS Chelsea Publishing 347 (2004).
M. Levine, F. Morel, "Algebraic Cobordism", Springer Monographs in Mathematics, Springer-Verlag Berlin Heidelberg (2007).
A. Vishik, "Stable and unstable operations in algebraic cobordism", Annales Scientifiques de l'Ecole Normale Superieure 52:3 (2019) 561-630.
听众
Graduate
视频公开
公开
笔记公开
公开
语言
英文
讲师介绍
Andrei Lavrenov got his undergraduate education in St. Petersburg where he graduated from St. Petersburg State University. He got his PhD from Ludwig Maximilian University of Munich, where he is working now. His research interests include algebraic groups, generalized cohomology theories and motives.