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Texas A&M University
Mathematics

Events for 04/20/2022 from all calendars

Committee P&T and I&T Meeting

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Time: 4:00PM - 5:00PM

Location: BLOC 117


Topology Seminar

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Time: 4:00PM - 5:00PM

Location: BLOC 628

Speaker: Ka Ho Wong, Texas A&M University

Title: Adjoint twisted Reidemeister torsion for closed hyperbolic 3-manifolds

Abstract: The adjoint twisted Reidemeister torsion of a 3-manifold $M$ is a non-zero complex-valued invariant associated with the representation of $\pi_1(M)$ into $SL(2, C)$. There is a well-known formula relating the torsion of a link complement and that of the manifold obtained by doing hyperbolic Dehn-filling on the boundary components. Moreover, every closed oriented 3-manifolds can be obtained by doing a Dehn surgery on the boundaries of a suitable fundamental shadow link complements, which have truncated tetrahedra as their building blocks. In this talk, we will discuss how the adjoint twisted Reidemeister torsion of fundamental shadow link complements is related to the Gram matrix function associated with the building blocks of the link complements. As an application, we find a new explicit formula for the adjoint twisted Reidemeister torsion for most closed hyperbolic 3-manifolds. This is a joint work with Tian Yang.