Mathematics

Title: Sensitivity Analysis on the Terazosin Model

Abstract: This talk will go over some preliminary investigations into the sensitivity of a competitive inhibitor stimulation model to uncertainty in its initial conditions. Global sensitivity analysis is performed using Sobol indices, with the Jansen estimators used to approximate first-order and total-order sensitivity indices. The analysis examines how uncertainty in the initial concentrations of the model's chemical species contributes to...

Topics: Number theory by machine learning

Title: Reconstruction of a Presented Tensor Action from an Extension with a Crossing

Abstract: This talk shows how a presented tensor action on an abelian category 𝒜 is reconstructed from an extension with a crossing. The extension is a short exact sequence of endofunctors 0 → T → E → Id → 0 on 𝒜, with maps ι: T → E and π: E → Id and with T an autoequivalence. The crossing is a natural isomorphism κ: ET → TE satisfying (Tπ)κ = πT, which records how E commutes with T. On the copy of T² inside ET...