electronic Computational Homotopy TheoryThe goal of the research seminar reading group is to make the eCHT research seminars more accessible for participants at all career stages and research backgrounds. Participants read suggested material and have an opportunity to meet and discuss the material before the formal seminar.
The reading group is organized by Hassan Abdallah (Wayne State University), Scotty Tilton (UCSD), and Dan Isaksen (Wayne State University).
The meeting information is
wayne-edu.zoom.us/j/9486065385?pwd=UU1tTno5c0FvaGZvVm1lTjVtWU41UT09
Meeting ID: 948 606 5385
Passcode: eCHT
eCHT research seminar full schedule
8 October 2024, 11:00 am-12:00 pm (eastern time)
In preparation for Liz Tatum’s talk on 10 October, the suggested readings are:
- Sections 2 and 3.1 of Behrens-Ormsby-Stapleton-Stojanoska, On the ring of cooperations for 2-primary connective topological modular forms
- Pages 1-3 of Mahowald, bo-resolutions
- Section 1 of Gonzalez, A vanishing line in the BP<1>-Adams Spectral Sequence
10 September 2024, 11:00 am-12:00 pm (eastern time)
In preparation for Lennart Meier’s talk on 12 September, the suggested readings are:
- Dan Edidin, What is a stack?
- Section 1.3 of Jacob Lurie, A survey of elliptic cohomology
- Section 2 of Chi-Kwong Fok, A stroll in equivariant K-theory
24 April 2024, 2:30-3:30pm (eastern time)
In preparation for Ben Antieau’s talk on 25 April, the suggested readings are:
- The introduction to Mandell, E_\infty-algebras and p-adic homotopy theory
- The theorems and definitions (avoiding proofs to just get the main ideas) of Sections 4.1 and 4.2 in Raksit, Hochschild cohomology and the derived de Rham complex revisiited
- Section 2.1 of Mondal-Reinecke, Unipotent homotopy theory of schemes
27 March 2024, 2:30-3:30pm (eastern time)
In preparation for Andrew Senger’s talk on 28 March, the suggested readings are:
- Hesselholt-Nikolaus: Topological cyclic homology Beginning through section 1.1.2 in the arXiv version. (General background on trace methods, syntomic cohomology.)
- Antieau-Krause-Nikolaus: On the K-theory of Z/p^n — announcement Sections 1-3. (Background on the problem) Take a look at the tables!
28 February 2024, 2:30-3:30pm (eastern time)
In preparation for Mark Behrens’s talk on 29 February, the suggested readings are:
Section 2 of Behrens, Ormsby, Stapleton, Stojanoska, On the ring of cooperations for 2-primary connective topological modular forms
Sections 1 and 5 of Mark Mahowald, bo-resolutions
31 January 2024, 2:30-3:30pm (eastern time)
In preparation for Morgan Opie’s talk on 1 February, the suggested readings are:
The introduction of Morgan Opie, A classification of rank 3 bundles on complex projective 4-space (about vector bundle classification problems)
Sections 1 and 2 of Yang Hu, Metastable complex vector bundles over complex projective spaces (about applications of Weiss calculus to enumerating bundles with vanishing Chern data)
The introduction of Prasit Bhattacharya and Hood Chatham, On the EO-orientability of vector bundles (about higher real K-theories EO_{p-1} at the prime p and EO_{p-1}-orientability of bundles on projective spaces)
The introduction of Hood Chatham, An orientation map for height p-1 real E-theory (also about higher real K-theories EO_{p-1} at the prime p and EO_{p-1}-orientability of bundles on projective spaces)