 CARMA OANT SEMINAR
 Speaker: A/Prof Simon Kristensen, Aarhus University
 Title: Diophantine approximation in positive characteristic
 Location: Room V205, Mathematics Building (Callaghan Campus) The University of Newcastle
 Access Grid Venue: SeeVogh (nonAG) [ENQUIRIES]
 Time and Date: 10:00 am, Wed, 22^{nd} Oct 2014
 SeeVogh meeting number 7876118766.
 Abstract:
The completion with respect to the degree valuation of the field of rational functions over a finite field is often a fruitful analogue to consider when one would like to test ideas, methods and conjectures in Diophantine approximation for the real numbers. In many respects, this setting behaves very similarly to the real numbers, and in particular the metric theory of Diophantine approximation in this setup is welldeveloped and and in some respects more is known to be true in this setup than in the real numbers. However, natural analogues of other classical theorems in Diophantine approximation fail spectacularly in positive characteristic. In this talk, I will introduce the topic and give old and new results underpinning the similarities and differences of the theories of Diophantine approximation in positive characteristic and in characteristic zero.
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