Estella 2099, Pomona College
610 N. College Ave., Claremont, CA, United States
Abstract: We study metrics on completely positive maps, and in particular on quantum channels, induced by seminorms from noncommutative geometry. Using an infinite-dimensional analogue of the Choi–Jamiołkowski correspondence, we construct such metrics and show that, under suitable assumptions, they satisfy stability and chaining. I will present the main ideas and explain how spectral triples and […]
Estella 2099, Pomona College
610 N. College Ave., Claremont, CA, United States
Abstract: Let C be a compact convex set (in a locally convex topological vector space). By Choquet’s theorem, every point in C is the barycenter of a probability measure supported on the extreme points. When this representing measure is unique, C is called a simplex. Simplices arise naturally in various fields of mathematics: the space […]
Estella 2099, Pomona College
610 N. College Ave., Claremont, CA, United States
Abstract: In general, the objective of algebraic topology is to classify spaces using some algebraic invariants or up to some notion of equivalence. In the area of equivariant homotopy theory, the goal is the same but now spaces equipped with a group action are considered and algebraic invariants of choice are homotopy groups. It turns […]
Estella 2099, Pomona College
610 N. College Ave., Claremont, CA, United States
We especially welcome all undergraduates and graduate students to attend topology seminar! Speaker: David Bachman (Pitzer College) Title: Learning optimal knot projections Abstract: We use techniques from Reinforcement Learning to […]
Estella 2099, Pomona College
610 N. College Ave., Claremont, CA, United States
We especially welcome all undergraduates and graduate students to attend topology seminar! Speaker: Sam Nelson (Claremont McKenna College) Title: Virtual Biquandle Cocycle Quiver Representations Abstract: We construct a quiver representation […]
Estella 2099, Pomona College
610 N. College Ave., Claremont, CA, United States
We especially welcome all undergraduates and graduate students to attend topology seminar! Speaker: Sierra Knavel (Georgia Tech) Title: Betti Numbers and Indecomposability of Genus-2 Lefschetz Fibrations Abstract: Symplectic 4-manifolds, smooth […]
Estella 2099, Pomona College
610 N. College Ave., Claremont, CA, United States
We especially welcome all undergraduates and graduate students to attend topology seminar! Speaker: Scott Taylor (Colby College) Title: Genus 1 Bridge Number of Satellite Knots in Lens Spaces Abstract: In […]
Estella 2099, Pomona College
610 N. College Ave., Claremont, CA, United States
We especially welcome all undergraduates and graduate students to attend topology seminar! Speaker: Reginald Anderson (Claremont McKenna College) Title: Kontsevich's Recursive Formula for Rational Plane Curves Abstract: Gromov-Witten theory was […]
Estella 2099, Pomona College
610 N. College Ave., Claremont, CA, United States
We especially welcome all undergraduates and graduate students to attend topology seminar! Speaker: Iris Yoon (Wesleyan University) Title: Dowker duality, profunctors, and spectral sequences Abstract: I will present three short, […]
Estella 2099, Pomona College
610 N. College Ave., Claremont, CA, United States
We especially welcome all undergraduates and graduate students to attend topology seminar! Speaker: Carrie Frizzell (Scripps College) Title: A Primer on Tropical Geometry Abstract: Max-plus and min-plus semifields—coined tropical semifields—appeared […]
Estella 2099, Pomona College
610 N. College Ave., Claremont, CA, United States
We especially welcome all undergraduates and graduate students to attend topology seminar! Speaker: Morgan Weiler (University of California, Riverside) Title: Anchored symplectic embeddings and 2-parameter persistence Abstract: Symplectic geometry is […]
Estella 2099, Pomona College
610 N. College Ave., Claremont, CA, United States
We especially welcome all undergraduates and graduate students to attend topology seminar! Speaker: Shane Rankin (University of California, Riverside) Title: Symplectic Hodge Theory on Lie Algebroids Abstract: Symplectic Hodge Theory […]
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