Date/Time
Date(s) - 22/10/2024
11:30 am - 12:30 pm

Location: Hamilton Hall 312

Title (Illya Kierkosz): Connections Between Type A Quiver Loci and Positroid Varieties in the Grassmannian (11:30 am – 12:00 pm)

Abstract (Illya Kierkosz): In previous work by Kinser and Rajchgot, it was shown that varieties generated by type A bipartite quivers are closely related to Schubert varieties in a partial flag variety. In my master’s research, we adapted the construction to show that these quiver varieties, called type A bipartite quiver loci, are also closely related to positroid varieties in Grassmannians. An important idea in producing this construction is a new combinatorial identification between quiver rank arrays and bounded affine permutations. In this talk, we will follow the “data” between settings in order to get a feel how this identification works.

Title (Nathan Heisz): Bounded Primes in Hypergeometric Series (12:00 -12:30 pm)

Abstract (Nathan Heisz): We are interested in when a Hypergeometric Series makes sense mod p, when the coefficients do not contain any negative exponents of p. We will discuss results on the densities of these bounded primes on both generalized Hypergeometric Series mFn with rational coefficients, and 2F1 with irrational coefficients.