Higher Category Lecture Series: A friendly introduction to ∞-categories by Yuki Maehara (Kyushu U)

[Yoshihiro Maruyama <Yoshihiro.Maruyama@anu.edu.au>]

Dear all,

A series of introductory lectures on higher categories will be given
online by Yuki Maehara, starting on 31 Jan (Mon), then every Mon and
Thu, and finishing on 17 Feb (Thu), as per below.

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Title: A friendly introduction to ∞-categories

Lecturer: Yuki Maehara (Kyushu U)

Abstract: ∞-categories are to spaces what ordinary categories are to
sets. This nicely summarises the basic idea of ∞-categories, but there
is a large gap between this intuition and the definition(s) of
∞-category one finds in the literature. The aim of these lectures is
to fill this gap by answering the following question: What do we
really mean by "spaces", and what sort of things do we want to do with
them?

Lecture 1: Homotopy groups and Whitehead's theorem
Lecture 2: Kan complexes
Lecture 3: Model categories
Lecture 4: Homotopy commutative vs homotopy coherent
Lecture 5: Quasi-categories via spines
Lecture 6: Quasi-categories via inner horns

Schedule:
31 Jan (Mon) 4-5pm (AEDT/GMT+11)
3 Feb (Thu) 4-5pm (AEDT/GMT+11)
7 Feb (Mon) 4-5pm (AEDT/GMT+11)
10 Feb (Thu) 4-5pm (AEDT/GMT+11)
14 Feb (Mon) 4-5pm (AEDT/GMT+11)
17 Feb (Thu) 4-5pm (AEDT/GMT+11)

Held online via zoom at:
https://anu.zoom.us/j/87221396938?pwd=azgxQmJWWWhtTUFHUGdpcXE2MGp6QT09

No registration required.

Webpage (with the same information as above):
https://sites.google.com/view/higher-category/home

Thanks and best regards,
Yoshihiro

--
Yoshihiro Maruyama
Senior Lecturer, School of Computing,
CECS, The Australian National University
Canberra, ACT, 2601, Australia
Contact: yoshihiro.maruyama@anu.edu.au


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