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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, […] |
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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 […] |
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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 […] |
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