Title: Towers and elementary embeddings in total relatively hyperbolic groups Abstract: In a remarkable series of papers, Zlil Sela classified the first-order theories of free groups and torsion-free hyperbolic groups using geometric structures he called towers. It was later proved by Chloé Perin that if H is an elementarily embedded subgroup (or elementary submodel) of […]
Title: Equality Cases of Geometric Inequalities Speaker: Igor Pak, Department of Mathematics, University of California, Los Angeles Abstract: Geometric inequalities go back to antiquity, and so do their equality cases. As everyone knows, the circle is the only case when the isoperimetric inequality is sharp. But what happens to other geometric inequalities? Apparently, as the […]
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DESCRIPTION The Department of Mathematics and Statistics is pleased to announce the next 47 Lecture. Moon Duchin, Professor of Mathematics and Senior Fellow in the Tisch College of Civic Life […]
A mathematician and all his functions: The untold story of Lucien Hibbert. Abstract: Even with his achievements in mathematics, academia, politics, and international affairs, Lucien Hibbert is nearly unknown, even in […]
Title: Recalibration of Predicted Probabilities Using the "Logit Shift": Why Does It Work, and When Can It Be Expected to Work Well? Abstract: In the context of election analysis, researchers […]
For a lattice L in the plane, we define the affiliated deep hole lattice H(L) to be spanned by a shortest vector of L and the furthest removed vector from […]
Title: Generating families on Lagrangian cobordisms Abstract: An important question in contact topology is to understand Legendrian knots and their relations given by Lagrangian cobordisms. In the contact manifold T*M […]
Title: What is a moduli space? Speaker: Javier Gonzalez Anaya, Department of Mathematics, Harvey Mudd College Abstract: A natural endeavour in mathematics is to classify objects according to their properties. For […]
Title Control algorithms for unmanned underwater vehicles: new approaches based on Hamilton-Jacobi equations and reinforcement learning. Abstract Unmanned underwater vehicles (UUVs) are defined by their ability to operate without direct […]
We explore the application of spectral graph theory to the problem of characterizing linguistically-significant classes of tree structures. We focus on various classes of syntactically-defined tree graphs, and show that the spectral properties of different matrix representations of these classes of trees provide insight into the linguistic properties that characterize these classes. More generally, our […]
Title: Cosmetic Surgeries on Knots and Heegaard Floer Homology Abstract: A common method of constructing 3-manifolds is via Dehn surgery on knots. A pair of surgeries on a knot is called purely cosmetic if the resulting 3-manifolds are homeomorphic as oriented manifolds, whereas it is said to be chirally cosmetic if they result in homeomorphic […]
