Seminar ‘Advanced Hodge theory and the Hodge conjecture’ Summer term 2012 The idea of the seminar is to learn some classical concepts and recent approaches to the Hodge conjecture. Basic concepts of Hodge theory are

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• Algebra
• Abstract algebra
• Mathematics
• Hodge theory
• Algebraic geometry
• Conjectures
• Homological algebra
• Hodge conjecture
• Homology theory
• Hodge structure
• Hodge cycle
• MumfordTate group