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Graduate Student Homotopy Theory Seminar

Event Type
Seminar/Symposium
Sponsor
Department of Mathematics
Location
Altgeld Hall 345
Date
Oct 21, 2022   3:00 pm  
Speaker
Langwen Hui
Contact
Zachary Halladay
E-Mail
zah2@illinois.edu
Views
25

Title:
An overview of Lubin-Tate spectra

Abstract:
In their 1966 paper, Lubin and Tate studied the deformation theory of 1-dimensional commutative formal groups. They showed that this moduli problem is representable by a certain ring with an associated "universal deformation" formal group law. It turns out that this formal group law is Landweber exact and the associated spectrum has a unique E_∞ multiplication, due to a theorem of Goerss, Hopkins and Miller. I will introduce these spectra and briefly discuss their central role in the local structure of chromatic homotopy theory.

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