Geometry and Topology Seminar: Length bounds for hyperbolic Heegaard splittings

报告人： Gabriele Viaggi (University of Rome)

摘要： In theory, by Mostow rigidity, the geometry of a hyperbolic 3-manifold is a function of its topology, but how to predict explicitly geometric features from a combinatorial presentation of the 3-manifold? By groundbreaking work of Minsky and Brock, Canary, and Minsky such a formula exists for the class of hyperbolic 3-manifolds fibering over the circle. Their model allows to understand explicitly quantities such as volume, length spectrum, and Laplace spectrum directly from topological data. It is desirable to develop a similar picture for Heegaard splittings as it would apply to all 3-manifolds. In this talk, I will present some joint work with Alessandro SIsto and Peter Feller where we develop an explicit purely topological formula for the length of a (short) geodesic in a hyperbolic Heegaard splitting.

时间： Friday 4pm, Dec. 13, 2024

Zoom会议号： 283 044 9723 (Passcode: tUd1sA)