Department of

September 2014 October 2014 November 2014 Su Mo Tu We Th Fr Sa Su Mo Tu We Th Fr Sa Su Mo Tu We Th Fr Sa 1 2 3 4 5 6 1 2 3 4 1 7 8 9 10 11 12 13 5 6 7 8 9 10 11 2 3 4 5 6 7 8 14 15 16 17 18 19 20 12 13 14 15 16 17 18 9 10 11 12 13 14 15 21 22 23 24 25 26 27 19 20 21 22 23 24 25 16 17 18 19 20 21 22 28 29 30 26 27 28 29 30 31 23 24 25 26 27 28 29 30

Wednesday, October 29, 2014

**Abstract:** A quiver is a finite directed graph. We will look at quiver representations, an assignment of a vector space to each vertex and a linear map to each arrow. A natural question is to study isomorphism classes of quiver representations. Equivalently, we may look at orbits of a group action on some associated affine space. Taking orbit closures, we obtain varieties called quiver loci. We will discuss the Zelevinsky map, which realizes each equioriented type A quiver locus as an open affine piece of a Schubert variety.