Number Theory Seminar

On a motivic method in Diophantine geometry

Majid Hadian-Jazi, Scott Russell Johnson Fellow, Mathematics, Caltech,

By studying 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. Concrete results then follow based on known (and conjectural) vanishing theorems.

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For more information, please contact Pei-Yu Tsai by email at [email protected] or visit http://math.caltech.edu/~numbertheory/.