Representations of the Classical, Virtual, and Welded Braid Groups

Representations of the Classical, Virtual, and Welded Braid Groups

Explore the fascinating world of braid group representations in this 46-minute lecture by Nancy Scherich from the Institute for Computational and Experimental Research in Mathematics. Delve into the classical braid group and its generalizations, including virtual and welded braid groups, which introduce new types of crossings and relations. Examine various constructions of classical braid group representations and discover how they can be extended to represent virtual and welded braid groups. Gain insights into the mathematical structures and relationships between these different braid group types, enhancing your understanding of this intriguing area of mathematics.