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Graduate Student Homotopy Theory Seminar: Calculus for Algebraic Topologists

Event Type
Seminar/Symposium
Sponsor
n/a
Location
341 Altgeld Hall
Date
May 6, 2022   3:00 pm  
Speaker
Johnson Tan
Contact
Doron Grossman-Naples
E-Mail
doronlg2@illinois.edu
Views
12

Early on in our mathematical studies, we learn that instead of studying a problem directly it is useful to study a linearization of the problem. For example, to understand a smooth map between manifolds we can look at the resulting linear map between the tangent spaces at a point. In this talk we will be looking at a categorification of this idea through the lens of Goodwillie Calculus. In particular, given a map between sufficiently nice infinity categories we will define what it means for such a map to be "linear" and furthermore how one can approximate by such maps. Time permitting, we will explore further generalizations of this idea.

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