Mohamed Elhamdadi (University of South Florida)

A survey of Yang-Baxter equation and some related algebraic structures

  • Data: 28 MAGGIO 2024  dalle 11:15 alle 13:00

  • Luogo: aula Vitali, ore 11:15

Abstract: The Yang-Baxter equation (YBE) has its origin in theoretical physics (statistical mechanics).  There has been an extraordinary amount of research on the subject for the last two decades.   In considering solutions to YBE, we will discuss some related algebraic structures with focus on quandles and their kin (racks and biquandles).  We will show also how these algebraic structures and their cohomology theories can be used to distinguish knots in the 3-space and knotted surfaces in 4-space.