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Allen Yuan (Topology seminar): Strict units of group rings

Event Type
Seminar/Symposium
Sponsor
Vesna Stojanoska
Location
Altgeld Hall 243
Date
May 2, 2023   11:00 am  
Speaker
Allen Yuan
Views
70
Originating Calendar
Topology Seminar

Strict units of group rings

Abstract: Just as an ordinary commutative ring has a group of units, one can associate to any commutative ring spectrum R a topological abelian group of ``strict units’’.  These strict units are a basic invariant of R, for instance controlling the types of roots one can adjoint to R.  Despite this, there have not been many calculations of strict unit groups.  I will survey some results in the area and report on work in progress, joint with Shachar Carmeli and Thomas Nikolaus, on calculating strict units of group rings.  

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