An Analogue of the Volume Conjecture for Closed Non-Hyperbolic 3-Manifolds

Explore an advanced mathematical lecture examining the extension of the volume conjecture to closed non-hyperbolic 3-manifolds, presented by Pavel Putrov at the International Conference on Braids and Surfaces 2025. Delve into sophisticated topological concepts as the speaker develops analogous theoretical frameworks for 3-manifolds that fall outside the hyperbolic category, building upon the foundational volume conjecture which traditionally connects quantum invariants to geometric properties of hyperbolic 3-manifolds. Gain insights into cutting-edge research in low-dimensional topology, quantum topology, and the intricate relationships between algebraic invariants and geometric structures in three-dimensional spaces, while examining how classical conjectures can be adapted and extended to broader classes of mathematical objects.