left-arrowleft-arrowright-arrowleft-arrowAsset 9
'

Cellular resolutions of the diagonal and exceptional collections for toric D-M stacks (Reginald Anderson, CMC)

Roberts North 102, CMC

Beilinson gave a resolution of the diagonal for complex projective space, which gives a strong, full exceptional collection of line bundles as a generating set for the derived category of coherent sheaves. Bayer-Popescu-Sturmfels generalized Beilinson's resolution of the diagonal by giving a cellular resolution of the diagonal for a proper subclass of smooth toric varieties […]

Claremont Topology Seminar: Julian Chaidez (USC)

Fletcher 110, Pitzer College 1050 N Mills Ave, Claremont, CA, United States

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 […]

Thinking Inside the Box: A combinatorial approach to Schubert Calculus (Sami H. Assaf, USC)

Argue Auditorium, Pomona College 610 N. College Ave., Claremont, CA, United States

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 […]

GEMS October 7th Session

Shanahan 1480, Harvey Mudd College 301 Platt Blvd., Claremont, CA, United States

Applied Math Seminar: Dan Pirjol (Stevens Institute of Technology)

Estella 1021 (Emmy Noether Room), Pomona College Claremont, CA, United States

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 […]

Claremont Topology Seminar: Christopher Perez (Loyola University New Orleans)

Fletcher 110, Pitzer College 1050 N Mills Ave, Claremont, CA, United States

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 […]

Equality Cases of Geometric Inequalities (Igor Pak, UCLA)

Argue Auditorium, Pomona College 610 N. College Ave., Claremont, CA, United States

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 […]

47 Lecture: Moon Duchin on “Rethinking Representation”

Argue Auditorium, Pomona College 610 N. College Ave., Claremont, CA, United States

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 at Tufts University, will give a talk titled "Rethinking Representation.”  Dr. Duchin runs the MGGG Redistricting Lab, an interdisciplinary group of researchers working on the […]

History and Philosophy of Mathematics Seminar: Louis Beaugris (Kean University)

Fletcher 110, Pitzer College 1050 N Mills Ave, Claremont, CA, United States

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 his native land of Haiti. Our aim is to present a biography of him that includes his family ties, his education, his PhD thesis, and […]

Applied Math Seminar: Evan Rosenman (CMC)

Estella 1021 (Emmy Noether Room), Pomona College Claremont, CA, United States

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 frequently face the "recalibration problem." That is: they must reconcile individual-level vote probabilities, modeled prior to the election, with vote totals observed in each precinct […]

Deep hole lattices and isogenies of elliptic curves (Lenny Fukshansky, CMC)

Roberts North 102, CMC

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 the lattice contained in the triangle with sides corresponding to the shortest basis vectors. We study the geometric and arithmetic properties of deep hole lattices, […]