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Explore applications of guts in 3-manifolds through this conference talk by Yue Zhang from UC Berkeley. Delve into two key topics: the minimal volume of orientable hyperbolic manifolds with three cusps and the control of Euler characteristics in sufficiently long Dehn fillings. Learn how guts in sutured and pared manifolds are used to establish a lower volume bound of 6 Catalan's constant for certain 3-cusped orientable hyperbolic manifolds. Discover a novel method for bounding the Euler characteristic of surfaces in long Dehn fillings, with implications for links and 3-manifolds. Gain insights into this joint work with Ian Agol, presented as part of the Low Dimensional Topology & Circle-valued Morse Functions conference.
