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On complexity of 3-manifolds


Academic Report

Reporter: Prof. Andrei Vesnin(Sobolev Institute of Mathematics, Novosibirsk, Russia)

Title: On complexity of 3-manifolds

Time: October 19,2017(Thursday) PM 3:00-4:00

Location: A#1101 room, Innovation Park Building

Abstract: The complexity theory of 3-manifolds, also known as the Matveev complexity theory,  is the base for the powerful approach to the problem of  classification of 3-manifolds. Tables of nundred of thousands of manifolds of small complexity were constructed by computer based methods. In the  talk we will give explicit values of complexity for few infinite families of hyperbolic 3-manifolds. We will discuss closed manifolds, manifolds with cusps, and manifolds with totally geodesic boundary.

The Brief introduction to the reporter: Prof. Andrei Vesnin is head of the Laboratory of Applied Analysis, Sobolev Institute of Mathematics, Siberian Branch of Russian Academy of Sciences and a professor of Geometry and Topology, Novosibirsk State University. He received a Candidate of Sciences in physics and mathematics is 1991 from Sobolev Institute of Mathematics for the thesis ”Discrete groups of reflections and three-dimensional manifolds”, and a Doctor of Sciences in physics in mathematics in 2005 for the thesis ”Volumes and isometries of three-dimensional hyperbolic manifolds and orbifolds”. He was a visiting professor in Seoul National University in 2002 – 2004. Prof. Vesnin's reseach interests include low-dimensional topology, knot theory, hyperbolic geometry, combinatorial group theory, graph theory and applications. Prof. Vesnin is the editor-in-chief of Siberian Electronic Mathematics Reports and a member of editorial boards of Siberian Mathematical Journal and Scientiae Mathematicae Japonicae.

    In 2008 Prof. Vesnin was elected to corresponding member of the Russian Academy of Sciences.