The 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

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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

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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!

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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

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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)