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B. Greenfeld - Abstract Hilbert schemes, noncommutative rings, and Fomin-Kirillov algebras

Date
Date
Monday 16 December 2024, 11.30 - 12.00
Abstract
Point modules and their moduli spaces provide an algebraic framework for studying points on (not necessarily commutative) geometric spaces. We explore how the structure of these moduli spaces reflects deep dynamical and combinatorial phenomena of the underlying noncommutative structure. As an interesting test case, we present computations of these moduli spaces for Fomin-Kirillov algebras and their subalgebras.