This is a reading group following Denis-Charles Cisinski's book ``Higher Categories and Homotopical Algebra''. Our goals are to learn the theory of ∞-categories with an eye towards higher algebra.

We are meeting Saturdays at 16:30 UTC (09:30 PDT) 17:30 UTC (09:30 PST) (since Daylight Savings ended). Our first meeting was Saturday July 30, 2022. There is a discord server. Please email me if you would like the discord/zoom links.

(References in the table below are by last-name -- for full titles see the list under "RESOURCES" below.)

    Date    

    Speaker    

    Notes    

    References    

8/6/22

vaibhav

[video]

Cisinski, 1.1-1.3

8/13/22

Amartya

[video]
[notes]

Cisinski, 1.4-1.6

8/20/22

Logan

[video]
[notes]

Riehl-Verity, Ch.1

8/27/22

Varun

[video]
[notes]

Cisinski, 2.1-2.3

9/3/22

vaibhav

[video]
[notes]

Cisinski, 2.4-2.5
Gabriel-Zisman

9/10/22

Logan

[video]
[notes]

Riehl-Verity, Ch.2

9/17/22

Amartya

[video]
[notes]

Cisinski, 3.1-3.2
Gabriel-Zisman
Goerss-Jardine

9/24/22

Heiko

[video]
[notes]

Cisinski, 3.4

10/1/22

Amartya

[video]
[notes]

Cisinski, 3.3
"Notes on the Joyal model structure" -- Stevenson
"The Theory of Quasi-categories and its Applications" -- Joyal

10/17/22

Logan

[video]

Riehl-Verity, Ch.2

10/29/22

vaibhav

[video]
[notes]

Cisinski, 3.5-3.6

11/05/22

Amartya

[video]
[notes]

Cisinski, 3.7-3.9

11/12/22

Grigory

[video]
[notes]

Cisinski, 4.1

11/19/22

vaibhav

[video]
[talk notes]
[alternate notes]

Cisinski, 4.2-4.3
HTT
Rezk -- Intro to Quasicategories, ch.10

11/26/22

Amartya

[video]
[notes]

Quillen's theorem A, some 2-categorical things

RESOURCES / REFERENCES: