Helen Wong - Quantum topology, hyperbolic geom., & the Kauffman bracket skein algebra of a surface

Helen Wong (Carleton College)

Quantum topology, Hyperbolic geometry, and the Kauffman bracket skein algebra of a surface

The end of the previous century saw radical changes to three-dimensional topology, which arose from two completely different approaches. One breakthrough came from Thurston's introduction of hyperbolic geometry into the field. The second one came from the discovery of new quantum invariants for knots and three-dimensional manifolds, and brought in insight and techniques from mathematical physics and quantum groups. It is widely believed that the two approaches are intricately related, but there are few, well-understood points of connection. In this talk, we will focus on the Kauffman bracket skein algebra of a surface, and survey results that tie it to both quantum topology and hyperbolic geometry.

Видео Helen Wong - Quantum topology, hyperbolic geom., & the Kauffman bracket skein algebra of a surface канала Temple University Graduate Student Conference