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COMA/NAG Joint Graduate Student Seminar: "Factoriality of LSS ideals" May 17, 2024 (10:00 AM PDT - 11:00 AM PDT)
Parent Program:
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Speaker(s) Eliana Tolosa Villarreal (Università di Genova)
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Factoriality of LSS ideals


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Lovász-Saks-Schrijver ideals, LSS ideals for short, are a family of ideals associated to graphs that were introduced in the context of orthogonal representations of graphs and studied for the first time in 1989 by Lovász, Saks and Schrijver. The study of such ideals lie in the intersection between algebraic geometry, commutative algebra and combinatorics as some geometric and algebraic properties can be exhibited from combinatorial invariants of the graph and viceversa. Our goal is to study this relationship, focusing on some algebraic properties of LSS ideals such as defining a unique factorization domain.

All are welcome!

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Factoriality of LSS ideals