nLab categorification - contents

categorification

Background

• category theory

• higher category theory

Contents

• vertical categorification

• horizontal categorification

• (∞,1)-categorification

• decategorification, Grothendieck group

Examples

• categorification in representation theory

• Khovanov homology

• Kazhdan-Lusztig theory

• categorification via groupoid schemes

• The geometric Langlands program

• geometric Satake

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