The Noncommutativity Geometry of the Quantum Flag Manifolds: An Overview

Re Obuachalla (Mathematical Institute of Charles University)

Thursday 17th October 16:00-17:00 Maths 311B

Abstract

In this talk I will give an overview of our current understanding of the noncommutative geometry of the quantum flag manifolds, emphasising how this rich class of examples serves as a point of contact between the various approaches to noncommutative geometry. In addition to the programs of Beggs--Majid, Connes, and Rieffel, we will discuss connections to noncommutative projective algebraic geometry, Nichols algebras, and Lusztig's quantum root vectors.

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