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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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Math 211A: Algebra Seminar
Professor Dan Rogalski
UC San Diego
Closed subschemes of noncommutative schemes
Abstract:
The properties of a commutative scheme are strongly reflected in its category of quasi-coherent sheaves. One approach to noncommutative geometry is to consider arbitrary categories with similar properties (e.g. Grothendieck categories) as geometric objects in their own right. We discuss how one might to define an analog of closed subscheme in this context and give lots of examples of how the definition behaves in both reasonable and non-intuitive ways.
Host: Alireza Golsefidy
May 12, 2025
3:00 PM
APM 7321
Research Areas
Algebra****************************
