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\textsc{Algebra}
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\textsc{Seminar}
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\textit{Patching central simple algebras and quadratic forms}
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Daniel Krashen\par
University of Georgia
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\textbf{Abstract:} Recently, David Harbater and Julia Hartmann have developed a technique
called ``field patching," which provides a new set of tools to study
and construct algebraic objects of various types over function fields
of curves defined over complete discretely valued fields. In this
talk, I will describe these techniques, and give a survey of
applications to central simple algebras and quadratic forms, including
results on the period-index problem, the $u$-invariant, and
admissibility of finite groups over these fields.\vspace{\fill}
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Tuesday, September 16, 2008, 4:00 pm\par
Mathematics and Science Center: W303
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\textsc{Mathematics and Computer Science}\par
\textsc{Emory University}
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