Preheating, Thermalization and Supergravity

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This contribution to the proceedings collects new recent results on preheating after inflation. We discuss tachyonic preheating in the SUSY motivated hybrid inflation; development of equilibrium after preheating; theory of fermionic preheating and the problem of gravitino overproduction from preheating.
15 pages, latex, 8 figures, talk at Dark2000, Heidelberg

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