Seminar:
Quantum Topology and Field Theory
Event time:
Thursday, April 24, 2025 - 4:30pm
Location:
KT 801
Speaker:
Thang Le
Speaker affiliation:
Georgia Tech
Event description:
The slnsln-skein algebra of a surface provides a quantization of the SLn(C)SLn(C) character variety. For surfaces with boundary, this framework extends naturally to the stated skein algebra. We demonstrate how various aspects of quantum groups admit simple and transparent geometric interpretations through the lens of stated skein algebras. In particular, we show how the Schapiro–Shrader embedding of the quantized enveloping algebra into a quantum torus algebra arises from the quantum trace map. Time permitting, we will also present a geometric realization of the dual canonical basis of Oq(sl3)Oq(sl3) using skeins.