Pacific Category Theory Seminar (Online) - Friday, February 27

Pacific Category Theory Seminar (Online) - Friday, February 27

[Soichiro Fujii]

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Dear all,

Yuki Imamura will give a talk for the third session of the PCT seminar (https://pctseminar.github.io/<https://url.au.m.mimecastprotect.com/s/er-3CXLW6DiXPV682sDiKIWr53y?domain=pctseminar.github.io>) on Friday February 27 at 10am JST/12pm AED (1am UTC).

The zoom link to join the seminar is here: https://kyoto-u-edu.zoom.us/j/82401794000?pwd=VjVmzVjmlgxhkdHES4xYeQBTpMzQkS.1<https://url.au.m.mimecastprotect.com/s/Z-5uCWLVn6i5LRpMOSxh6IovSix?domain=kyoto-u-edu.zoom.us>

Title: A formal category theoretic approach to the homotopy theory of dg categories

Abstract: A dg category is a category enriched over the category of complexes of modules. Arising from the homotopy theory of complexes up to quasi-isomorphism, dg categories admit a natural homotopy theory in their own right, in which the weak equivalences are the quasi-equivalences. In this talk, I present an approach to the homotopy theory of dg categories from the viewpoint of formal category theory. Concretely, I construct a proarrow equipment in the sense of Wood that captures the homotopy theory of dg categories, and study the behavior of homotopy limits in dg categories within this framework.

We hope to see you there!

Best wishes,
Soichiro Fujii, Zeinab Galal and JS PL


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