Title: Quantum 4-Manifold Invariants Via Trisections Abstract: I will describe a new family of potentially non-semisimple invariants for compact a 4-manifold whose boundary is equipped with an open book. The invariant is computed using a trisection, along with some additional combing data, and a piece of algebraic data called a Hopf triple. The relationship with […]
Title: Thinking Inside the Box: A combinatorial approach to Schubert Calculus Speaker: Sami H. Assaf, Department of Mathematics, University of Southern California Abstract: Given 2 lines in the plane, how many points lie on both? If we rule out the case where the two lines are the same, and we work in projective space so […]
Title: The Hartman-Watson distribution: numerical evaluation and applications in mathematical finance Abstract: The Hartman-Watson distribution appears in several problems of applied probability and financial mathematics. Most notably, it determines the joint distribution of the time-integral of a geometric Brownian motion and its terminal value. A classical result by Yor (1981) expresses it as a one-dimensional […]
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 […]
Stay tuned for more details about this special event!
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 […]
