ACC Seminar: Different Approaches to the Burau Representation
Department of Mathematical Sciences
Location: Marth Bayard Stevens Hall, Room 203 and Zoom (Passcode: ACC)
Speaker: Anzor Beridze, Professor, Batumi Shota Rustaveli State University
ABSTRACT
In this talk, we use Hecke algebras to demonstrate a connection between the Jones hypothesis (that the Jones polynomial detects the unknot) and the faithfulness problem of the Burau representation for $n=4$. Moreover, Garside-theoretic analysis, as well as algebraic and computer-assisted methods that could be employed in this study, will be discussed.
BIOGRAPHY
Anzor Beridze is Professor of Mathematics at Batumi Shota Rustaveli State University in Georgia and is also affiliated with Razmadze Mathematical Institute of Tbilisi State University. His mathematical interests include Algebraic Topology, Linear Algebra, and Topology.
Attendance: This is a technical talk open to all.
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