On a motivic method in Diophantine geometry

Joint IAS/Princeton University Number Theory Seminar
Topic:On a motivic method in Diophantine geometry
Speaker:Majid Hadian-Jazi
Affiliation:University of Illinois at Chicago
Date:Thursday, March 27
Time/Room:4:30pm - 5:30pm/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.