PIRSA:18050053 Scientific Series Mathematical physics

DOI10.48660/18050053

Series: Mathematical Physics

Kamnitzer, J. (2018). MPIM/PI teleseminar on categorified knot invariants - Skew Howe duality and categorified knot invariants . Perimeter Institute. https://pirsa.org/18050053

Kamnitzer, Joel. MPIM/PI teleseminar on categorified knot invariants - Skew Howe duality and categorified knot invariants . Perimeter Institute, May. 17, 2018, https://pirsa.org/18050053 

@misc{ pirsa_PIRSA:18050053,
  doi = {10.48660/18050053},
  url = {https://pirsa.org/18050053},
  author = {Kamnitzer, Joel},
  keywords = {Mathematical physics},
  language = {en},
  title = {MPIM/PI teleseminar on categorified knot invariants - Skew Howe duality and categorified knot invariants },
  publisher = {Perimeter Institute},
  year = {2018},
  month = {may},
  note = {PIRSA:18050053 see, \url{https://pirsa.org}}
}

Abstract

Skew Howe duality is based on a very simple observation: the set of n by m matrices has commuting action of SL_n and SL_m.  We can use this observation to study morphisms of GL_m representations using GL_n.  This perspective has proven very useful in recent years for studying quantum knot invariants and their categorifications.  I will survey work in this direction from the last 10 years, including more recent developments concerning annular skew Howe duality and annular knot invariants.

Resources

Next talk

Related Talks