### About

This year, the International Workshop on Algebraic Topology (IWoAT) resumes with a
summer school on equivariant homotopy theory.
This two week event will take place in Shanghai, China from July 19 to July 30, 2021.
It will be in hybrid form, with both in-person meetings and online components.
The planned events for IWoAT 2020
have been postponed due to the COVID-19 pandemic.

### Schedule (updated July 16, 2021)

### Lecturers

Meng Guo, Perimeter Institute for Theoretical Physics & University of Toronto
Hana Jia Kong, University of Chicago (Lead)
Ang Li, University of Kentucky
Guchuan Li, University of Michigan
Weinan Lin, University of Chicago
Yunze Lu, University of Michigan
XiaoLin Danny Shi, University of Chicago
Mingcong Zeng, Utrecht University
Ningchuan Zhang, University of Pennsylvania
Foling Zou, University of Michigan
### Scientific Committee

Lars Hesselholt, Nagoya University & University of Copenhagen
Peter May, University of Chicago
### Lecture notes

Lecture 1 & Lecture 2: Homotopy theory review
Lecture 5 & Lecture 6: Basics of spectra
Lecture 9 & Lecture 10: Equivariant spaces, Typed notes
Lecture 11 & Lecture 12: Presheaves on orbit category
Lecture 13: Axiomatic Equivariant homology and Smith theory, Lecture 14: Duality
Lecture 15 & Lecture 16: Equivariant spheres
Lecture 17 & Lecture 18: Equivariant stable homotopy theory, Typed notes
Lecture 19 & Lecture 20: Equivariant spectra as presheaves
Lecture 21 & Lecture 22: Orthogonal spectra
Lecture 23 & Lecture 24: Applications
Lecture 25 & Lecture 26: Equivariant K-theory
Lecture 27 & Lecture 28: Equivariant cobordism
Lecture 31 & Lecture 32: Homotopy of HZ
Lecture 35 & Lecture 36: Generators of BP^{((G))}
Lecture 39 & Lecture 40: The Detection Theorem
### Organizers

Agnès Beaudry, University of Colorado Boulder
Mark Behrens, University of Notre Dame
Daniel Isaksen, Wayne State University
Hana Jia Kong, University of Chicago
Zhi Lü, Fudan University
XiaoLin Danny Shi, University of Chicago
Guozhen Wang, Fudan University
Zhouli Xu, University of California, San Diego
Yifei Zhu, Southern University of Science and Technology

Assistant: Jiao Liu, Fudan University
### Registration

All are welcome. However, due to space restrictions, we kindly need you to register. Some financial support is available.
For in-person meetings, **here** is a registration form for domestic participants.
Please register by **June 10, 2021**.
If you have any questions, please write to Ms. Jiao Liu (刘娇，liujiao@fudan.edu.cn).