This is the calendar of the Illinois' Math Department Topology Seminar. Talks are generally on Tuesdays at 11am, followed by an (optional) lunch with the speaker.
In Fall 2024, the seminar room is Altgeld Hall 241 (unless specified otherwise).
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.
Department of Mathematics
College of Liberal Arts & Sciences
273 Altgeld Hall
1409 W. Green Street (MC-382)
Urbana, IL 61801
Telephone: 217-333-3350
Email: math@illinois.edu