MPIM/PI teleseminar on categorified knot invariants  4 Speaker(s): Joel Kamnitzer
Abstract:
Date: 18/05/2018  11:30 am
Series: Mathematical Physics

MPIM/PI teleseminar on categorified knot invariants  Skew Howe duality and categorified knot invariants Speaker(s): Joel Kamnitzer
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 quant... read more
Date: 17/05/2018  11:30 am
Series: Mathematical Physics

Representations of truncated shifted Yangians and symplectic duality Speaker(s): Joel Kamnitzer
Abstract: We study the representation theory of truncated shifted Yangians. These algebras arise as quantizations of slices to Schubert varieties in the affine Grassmannian. We will describe the combinatorics of their highest weights, which is encoded in Nakajima's monomial crystal. We also prove Hikita's con... read more
Date: 29/10/2015  1:30 pm
Series: Mathematical Physics

Categorical Lie algebra actions and braid group actions Speaker(s): Joel Kamnitzer
Abstract: We will discuss the notion of categorical Lie algebra actions, as introduced by Rouquier and KhovanovLauda. In particular, we will give examples of categorical Lie algebra actions on derived categories of coherent sheaves. We will show that such categorical Lie algebra actions lead to actions of br... read more
Date: 07/05/2010  1:45 pm
Collection: Connections in Geometry and Physics 2010
