(See past events)
PhD Oral Exam
Sarah Aljohani, SLU
Thursday Dec-5th , from 9:10 am, in room 314 .
Title: VARIATIONS OF PRIMENESS AND FACTORIZATION OF IDEALS IN LEAVITT PATH ALGEBRAS.
Abstract: Describe strongly irreducible ideals, strongly prime ideals and insulated prime ideals of Leavitt path algebras. characterize under which conditions a proper ideal of a Leavitt path algebra is a product of finitely many ideals of these types.
Alexander Garver, University of Michigan
Friday, December 6 at 4:00pm in Ritter 242 with refreshments beforehand in the Ritter Hall Lobby.
Title: Reverse plane partitions via quiver representations
Abstract: A reverse plane partition is an order reversing map from a poset to the nonnegative integers. We study reverse plane partitions on the so-called minuscule posets. A minuscule poset is defined by choosing a Dynkin diagram and a minuscule vertex of the Dynkin diagram. We show that there is a bijection between reverse plane partitions on a minuscule poset and representations of a Dynkin quiver of the corresponding type all of whose indecomposable summands are supported on the minuscule vertex. I will not assume any prior knowledge of quiver representations. This is joint work with Rebecca Patrias and Hugh Thomas.