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Graduate Student Homotopy Theory Seminar

Event Type
Seminar/Symposium
Sponsor
Department of Mathematics
Location
Altgeld Hall 345
Date
Dec 2, 2022   3:00 pm  
Speaker
Abhra Kundu
Contact
Zachary Halladay
E-Mail
zah2@illinois.edu
Views
23

Title: Descent theory.

Abstract: In this talk, I will discuss descent in the ∞-categorical context. I will try to motivate the theory of descent and state some basic properties of descent. Along the way we will also look at some examples and applications of this theory. I will try to make the case for descent being an important tool not just for understanding complicated ∞-categories using relatively simpler ones but also as a tool for getting extra information out of particular kinds of co-simplicial rings which is not visible through Dold-Kan correspondence. Some prior knowledge of ∞-categories will be helpful but will not be assumed. I will try to give as "down to earth" description as I can of the things I will be talking about.

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