Research Seminars @ Illinois

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Tailored for undergraduate researchers, this calendar is a curated list of research seminars at the University of Illinois. Explore the diverse world of research and expand your knowledge through engaging sessions designed to inspire and enlighten.

To have your events added or removed from this calendar, please contact OUR at ugresearch@illinois.edu

Shai Keidar (U Chicago): Telescopic Picard, Brauer and Galois Groups

Event Type: Seminar/Symposium
Sponsor: UIUC Math Department
Location: Altgeld 241
Date: Nov 19, 2024 11:00 am
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Originating Calendar: Topology Seminar; Understanding the structures and symmetries in chromatic homotopy theory, such as Picard and Brauer groups, is essential for exploring the foundations of stable homotopy theory. While the K(n)-local Picard, Brauer, and Galois groups have been extensively studied, much less is known about their T(n)-local counterparts.
Addressing this gap, we construct new telescopic Picard and Brauer elements and connect these to Galois theory. Using this we lift a non-abelian Galois extension of the K(n)-local sphere to the telescopic setting.
Time permitting, we will discuss higher Galois extensions and an extended Kummer theory linking these with higher Brauer groups.

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