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Algebraic Combinatorics - Li Li
2023-07-20 13:00 (America/Toronto)
TITLE: Bipartite determinantal ideals and concurrent vertex maps

SPEAKER:
Li Li

AFFILIATION:
Oakland University

LOCATION:
MC 5501

ABSTRACT: The classical determinantal ideals play an important role in
commutative algebra, algebraic geometry, representation theory and
combinatorics. They can be generalized to bipartite determinantal
ideals which are the defining ideals of Nakajima's affine graded
quiver variety. In this talk, we will introduce a combinatorial model
called concurrent vertex maps to describe the Stanley-Reisner complex
of the initial ideal of any bipartite determinantal ideal, and study
properties and applications of this model.
