December 5, 2019
1:50PM - 3:00PM
Cockins Hall 240
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2019-12-05 14:50:00
2019-12-05 16:00:00
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
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
public
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.