1. Kansas State University
  2. »Division of Communications and Marketing
  3. »K-State Today
  4. »Mathematics Colloquium Lecture April 6

K-State Today

April 6, 2017

Mathematics Colloquium Lecture April 6

Submitted by Reta McDermott

Thomas Kerler, Ohio State University, will present "Hopf Algebra Bundles and Links on Surfaces" as part of the Mathematics Department Colloquium Lecture series at 2:30 p.m. Thursday, April 6, in 122 Cardwell Hall.

The abstract for the lecture is: (Based on joint work with and dissertation of Alex Borland). Hopf algebras with additional structures have been successfully used to combinatorially construct strong invariants of knots, links, and tangles — represented by diagrams in the plane — using only Hopf algebra operations. They dominate many of the modern knot polynomials. We explain and extend the Hopf algebraic construction to link diagrams on surfaces which use fibers of a flat ribbon Hopf algebra bundle over the surface for local assignments rather than a single fixed Hopf algebra. Our construction is motivated by and encompasses Turaev's version of the Jones polynomial with an additional parameter that provides an invariant for his knotoids.

In this issue

From the president
Updates from leadership
News and research
Events
Human resources and benefits
Kudos, publications and presentations