Ohio State nav bar

Quantum Algebra/Quantum Topology Seminar - Matthew Harper

Quantum Algebra & Quantum Topology Seminar
December 5, 2019
1:50PM - 3:00PM
Cockins Hall 240

Date Range
Add to Calendar 2019-12-05 13:50:00 2019-12-05 15:00:00 Quantum Algebra/Quantum Topology Seminar - Matthew Harper Title: Knot Invariants from Unrolled Quantum $\mathfrak{sl}_3$ Speaker: Matthew Harper -The Ohio State University Abstract: In this talk, we discuss knot invariants from unrolled $\mathfrak{sl}_3$ and compare them with other polynomial invariants. We use unrolled $\mathfrak{sl}_2$ as a starting point to motivate the higher rank case. Unrolled quantum groups admit natural Borel induced representations, which are reducible at some degenerate points. Time permitting, we will sketch a proof that the two-variable $\mathfrak{sl}_3$ invariant coincides with the $\mathfrak{sl}_2$ invariant for knots precisely when evaluated at degenerate points. Seminar Link Cockins Hall 240 Department of Mathematics math@osu.edu America/New_York public

Title: Knot Invariants from Unrolled Quantum $\mathfrak{sl}_3$

Speaker: Matthew Harper -The Ohio State University

Abstract: In this talk, we discuss knot invariants from unrolled $\mathfrak{sl}_3$ and compare them with other polynomial invariants. We use unrolled $\mathfrak{sl}_2$ as a starting point to motivate the higher rank case. Unrolled quantum groups admit natural Borel induced representations, which are reducible at some degenerate points. Time permitting, we will sketch a proof that the two-variable $\mathfrak{sl}_3$ invariant coincides with the $\mathfrak{sl}_2$ invariant for knots precisely when evaluated at degenerate points.

Seminar Link

Events Filters: