Nicolle Gonzalez, UC Berkeley
Catalan numbers are among the most ubiquitous objects in mathematics, arising naturally in combinatorics, representation theory, geometry, and many other areas. Although there are various polynomial generalizations of these numbers, particularly fruitful are the so-called (q,t)-Catalan polynomials.…
Xialong Li, Wichita State University
In 1986, Nishikawa conjectured that a closed Riemannian manifold with positive (or nonnegative) curvature operator of the second kind is diffeomorphic to a spherical space form (or a Riemannian locally symmetric space, respectively). In this talk, I will begin with an overview of sphere…