Event time:
Friday, February 18, 2011 - 8:00am to 9:00am
Location:
431DL
Speaker:
Ivan Ip
Speaker affiliation:
Yale University
Event description:
The Yang Baxter Equation, first introduced in statistical mechanics from physics
in the 70’s, is becoming very important in various context in mathematics,
especially in the representation theory of quantum groups. Given a linear
operator R acting on V (x) V, the equation reads R12 R13 R23 = R23 R13 R12,
which is highly nonlinear to solve. Important solutions were founded by hard
work and luck in the 80’s, until Drinfeld introduced the Quantum Double
Construction in 1988, which provides a unified way to construct many solutions
to the Yang Baxter Equation, and an explanation using Braided Monoidal Category.