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Daniel Tubbenhauer (Universität Bonn)
Thursday 29 June 2017, 13:30-14:30
Some webs and q-Howe dualities in types BCD
- 👤 Speaker: Daniel Tubbenhauer (Universität Bonn)
- 📅 Date & Time: Thursday 29 June 2017, 13:30 - 14:30
- 📍 Venue: Seminar Room 1, Newton Institute
Abstract
Co-author: Antonio Sartori (University of Freiburg)
In seminal work, Cautis-Kamnitzer-Morrison gave a diagrammatic presentation, via a so-called web calculus, of the category of quantum gln modules tensor generated by the exterior powers. Their novel observation was that a classical tool from representation and invariant theory, known as skew Howe duality, can be quantized and used to construct the corresponding diagrammatic presentation.
The work of Cautis-Kamnitzer-Morrison was then extended to various other instance (and even categorified), but all of these have in common that they stay in type A.
In this talk I will describe the first steps towards generalizing Cautis-Kamnitzer-Morrison's results to other types, where several new features (or flaws?) appear.
Series This talk is part of the Isaac Newton Institute Seminar Series series.
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