Friday, 06 December, 2019
The Math Colloquium will host Alexander Garver, Ph.D., of the University of Michigan, at 4 p.m. on Friday, Dec. 6, in Room 242, Ritter Hall. Refreshments will be before the talk in the Ritter Hall Lobby.
Garver will present, “Reverse plane partitions via quiver representations.”
Talk 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.