BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Dionne Ibarra (Monash University) DTSTART:20250917T090000Z DTEND:20250917T100000Z DTSTAMP:20260423T040009Z UID:TQFT/149 DESCRIPTION:Title: O ctahedral fully augmented links and the TV volume conjecture\nby Dionn e Ibarra (Monash University) as part of Topological Quantum Field Theory C lub (IST\, Lisbon)\n\n\nAbstract\nTuraev–Viro (TV) invariants are 3-mani fold invariants\, defined for a given fixed integer $r$ and $2r$-th root o f unity. Chen and Yang extended the definition of TV-invariants to pseudo 3-manifolds and introduced a volume conjecture for TV-invariants which sta tes that for the case of $r$-th roots of unity where $r$ is odd and $M$ is hyperbolic\, the TV invariants of $M$ grow exponentially and determine th e volume of $M$.\n\nThe Witten–Reshetikhin–Turaev (WRT) 3-manifold inv ariants (also known as the Chern–Simons 3-manifold invariants)\, are def ined for a given fixed integer $r$\, and a $2r$-th root of unity. The exis tence of such invariants were predicted by Witten in his work on Chern–S imons gauge theory and topological quantum field theory. They were constru cted by Reshetikhin and Turaev by using representation theory and Kirby ca lculus. Later\, Lickorish gave a skein theoretic definition. These invaria nts were also originally defined for closed orientable 3-manifolds\, but w ere recently extended to link complements. Furthermore\, Belletti\, Detche rry\, Kalfagianni\, and Yang provided an explicit formula relating the TV invariant to the WRT invariant of link complements in a closed orientable 3-manifold and used this formula to prove the TV volume conjecture for oct ahedral link complements in the connected sums of $S^2 \\times S^1$ called fundamental shadow links.\n\nIn contrast\, fully augmented links are link s in $S^3$ whose complements have nice geometric properties. For instance\ , Agol and Thurston showed that fully augmented links can be decomposed in to totally geodesic\, right-angled ideal polyhedra. In this talk\, we will present a geometric description of the relationship between octahedral fu lly augmented links and fundamental shadow links and we will outline an al ternative proof\, using the colored Jones polynomial\, to prove the TV vol ume conjecture for octahedral fully augmented links with no half-twists. T his is joint work with Emma McQuire and Jessica Purcell.\n LOCATION:https://researchseminars.org/talk/TQFT/149/ END:VEVENT END:VCALENDAR