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Isaac Newton Institute for Mathematical Sciences

Over the past few years, several remarkable links between quantum information, quantum groups, and operator algebras have been discovered. This includes in particular the study of non-local games, quantum automorphism groups, and the resolution of Connes’ Embedding problem announced by Ji, Natarajan, Vidick, Wright and Yuen in 2020. The focus of this workshop is the state of the art in this highly active area, covering the latest developments and potential future directions.

Isaac Newton Institute for Mathematical Sciences

Equivariant techniques have played a critical role in the proofs of several major results and developments in algebraic topology over the past decade. Examples include the solution of the famous Kervaire invariant one problem, computations of previously inaccessible homotopy groups of spheres based on the motivic Adams spectral sequence, and the new equivariant approach to THH, TC, and algebraic K- theory. The programme will unite experts and young researchers who apply homotopic methods in algebra (operads), algebraic topology, and algebraic geometry (motivic homotopy theory) around the common theme of equivariant methods. Though these methods have already led to significant breakthroughs, their potential is clearly far from exhausted. We foresee that this programme will incite further developments and greater synergies between equivariant homotopy theory and the themes of the programme centred around three workshops: "Operads and calculus", "Chromatic and motivic homotopy theory" and "THH, TC and algebraic K- theory".

Geometry and Topology,    Courses and Events for Math Students and Early Career Researchers

Isaac Newton Institute for Mathematical Sciences

Geometry and Topology,    Courses and Events for Math Students and Early Career Researchers

Isaac Newton Institute for Mathematical Sciences

Geometry and Topology,    Courses and Events for Math Students and Early Career Researchers

Isaac Newton Institute for Mathematical Sciences

Equivariant homotopy theory in context

Geometry and Topology,    Courses and Events for Math Students and Early Career Researchers