On a motivic method in Diophantine geometry

On a motivic method in Diophantine geometry

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Majid Hadian-Jazi, University of Illinois at Chicago
IAS Room S-101

By studying the variation of motivic path torsors associated to a variety, we show how certain nondensity assertions in Diophantine geometry can be translated to problems concerning K-groups. Then we use some vanishing theorems to obtain concrete results.