Abstract: Rings containing a finite field mathbb{F}_p (such as the ring of polynomials with coefficients in mathbb{F}_p) admit a map called the Frobenius homomorphism which sends every element to its p-th power. This operation encodes delicate information about the geometry of the zero sets of polynomial equations in prime characteristic, such as whether they are […]
Abstract: In this talk, we study the optimal timing of selling a risky asset within the distribution builder framework. Instead of specifying a utility function or risk-aversion parameter, this approach allows an investor to express preferences directly through a desired distribution of the selling price. Mathematically, the problem is closely related to the Skorokhod embedding […]
Abstract: Stable Khovanov homology Kh(T(n, \infty)) is an algebraic limit of the Khovanov homology groups of torus links T(n, k) on a fixed number of strands n, when more and more full twists are added as k \to \infty. Stable Khovanov homology is intimately related to the Jones polynomial because it categorifies the Jones-Wenzl projector, […]
Flyer for Kim's talk. Abstract: The logistic map is one of the most famous examples in dynamical systems. Originally introduced as a simple model of population growth, it exhibits a surprisingly rich range of behavior: as a single parameter varies, stable equilibria give way to periodic orbits and eventually to chaos. But in real populations, […]
Abstract: Edge ideals of graphs provide a fertile ground for uncovering combinatorial expressions for algebraic invariants of squarefree monomial ideals. Many algebraic invariants of these edge ideals directly reflect combinatorial properties […]
