Journal
JAPANESE JOURNAL OF MATHEMATICS
Volume 5, Issue 2, Pages 153-181Publisher
SPRINGER
DOI: 10.1007/s11537-010-0925-x
Keywords
categorification; Soergel bimodules; quantum groups
Categories
Funding
- NSF [DMS-0706924]
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [1005750] Funding Source: National Science Foundation
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A diagrammatic presentation of functors and natural transformations and the virtues of biadjointness are discussed. We then review a graphical description of the category of Soergel bimodules and a diagrammatic categorification of positive halves of quantum groups. These notes are a write-up of Takagi Lectures given by the author in Hokkaido University in June 2009.
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