Hello everyone,

Today I will be speaking. We will use google meet for the meeting: https://meet.google.com/frv-bgow-byi

Here is my title, abstract, and other info:

Title: Infinitely many geometric triangulations in a cover of every cusped 3-manifold Speaker: Me Date: Aug 26, 2020 Time: 3:45 PM Room: Virtual meeting Abstract: A triangulation T of a cusped hyperbolic 3-manifold is geometric if admits a fundamental domain which decomposes into convex ideal tetrahedra with positive angles. It is an open question as to whether every hyperbolic 3–manifold admits a single geometric triangulation. A follow-up question is how many geometric triangulations can one manifold admit? Dadd and Duan showed that some manifolds admit infinitely many geometric triangulations. And Luo, Schleimer and Tillmann showed that every manifold has a cover admitting at least one geometric triangulation. We prove that every cusped hyperbolic 3– manifold has a finite cover admitting infinitely many geometric ideal triangulations. This cover is constructed in several stages, using tools developed by Gueritaud, Luo, Schleimer, and Tillmann. The geometric ideal triangulations that we produce can be organized into an infinite binary tree of Pachner moves. This is joint work with Dave Futer.

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Neil R. Hoffman Assistant Professor Department of Mathematics 523 Math Science Building Oklahoma State University Stillwater, OK 74078-1058 405-744-7791 http://math.okstate.edu/people/nhoffman