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categorification - contents

categorification

Background

• category theory
• higher category theory

Contents

• vertical categorification

• horizontal categorification

• decategorification

Examples of categorification

• Khovanov homology?
• Kazhdan-Lusztig theory?
• categorification via groupoid schemes
• The geometric Langlands program
  geometric Satake?

Examples of decategorification

• Grothendieck group

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