The skein algebra as a quantized character variety

Geometry Topology Student Seminar
Wednesday, September 23, 2020 - 2:00pm for 1 hour (actually 50 minutes)
Tao Yu – Georgia Tech
Hongyi Zhou

In 1925, Heisenberg introduced non-commutativity of coordinates, now known as quantization, to explain the spectral lines of atoms. In topology, finding quantizations of (symplectic or more generally Poisson) spaces can reveal more intricate structures on them. In this talk, we will introduce the main ingredients of quantization. As a concrete example, we will discuss the SL2-character variety, which is closely related to the Teichm├╝ller space, and the skein algebra as its quantization.