PIRSA:18050053

MPIM/PI teleseminar on categorified knot invariants - Skew Howe duality and categorified knot invariants

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}}
          }

Joel Kamnitzer

University of Toronto

Talk number
PIRSA:18050053
Collection
Talk Type
Subject
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.