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Q Symmetry & Reps Theory Seminar - Matthew Harper

Matthew Harper
August 5, 2025
2:00 pm - 3:00 pm
Math Tower (MW) 154

Matthew Harper

Michigan State University

Title
Coincidences of Links-Gould and other quantum invariants

Abstract
I will survey several recent results on the Links-Gould polynomial, invariants of Garoufalidis-Kashaev, and the quantum invariant associated to Uq(sl3) at a fourth root of unity. This includes the affirmation of a conjecture of GK which proves their invariants recover the Links-Gould and sl3 invariants. We also prove a conjecture of Geer and Patureau-Mirand that the Links-Gould invariant admits a specialization to ADO3 (Uq(sl2) at a sixth root of unity). Finally, we'll discuss some cabling results for Links-Gould and other non-semisimple quantum invariants. These results are joint with subsets of Stavros Garoufalidis, Rinat Kashaev, Ben-Michael Kohli, Jiebo Song, Guillame Tahar, and Emmanuel Wagner.

Events Filters:

Seminar - Quantum Symmetry
Seminar - Reps