Challenges for Inflationary Cosmology

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Inflationary cosmology has provided a predictive and phenomenologically very successful scenario for early universe cosmology. Attempts to implement inflation using scalar fields, however, lead to models with serious conceptual problems. I will discuss some of the problems, explain why string theory could provide solutions to a subset of these problems, and give a brief overview of ``string gas cosmology'', one of the approaches to merge string theory and early universe cosmology.
Plenary talk at PASCOS-04/NathFest, August 2004, to be published in the proceedings (2 minor comments added to this second version)

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