SLn skein algebra and quantum matrices

Series
Geometry Topology Student Seminar
Time
Wednesday, October 13, 2021 - 2:00pm for 1 hour (actually 50 minutes)
Location
Skiles 006 (also in BlueJeans)
Speaker
Tao Yu – Georgia Tech
Organizer
Roberta Shapiro and Weizhe Shen

Please Note: BlueJeans link: https://bluejeans.com/248767326/2767

Since Jones introduced his knot polynomial using representation theory, there has been a wide variety of invariants defined this way, e.g., HOMFLY-PT and Reshetikhin-Turaev. Recently, through the work of Bonahon-Wong and Constantino-Le, some of these invariants are reinterpreted as quantum matrices. In this talk, we will review the history of these representation theoretical knot invariants. Then we will discuss one particular connection to the quantum special linear group.