In this talk, we will first discuss the topology of the Frobenius complex, the order complex of a poset motivated by the classical Frobenius problem. Specifically, we will determine the homotopy type of the Frobenius complex in certain cases using discrete Morse theory. In the second half of the talk, we will extend the classical excedancestatistic of the symmetric group to the affine symmetric group and determine the generating function of its distribution. The proof involves enumerating lattice points in a skew version of the root polytope of type $A$.

There will be a reception for Eric at 4:00 p.m. in POT 745.