Number Theory Seminar:Dong Quan Nguyen
- Date: 10/25/2012
Speaker(s):
Dong Quan Nguyen: UBC
Location:
University of British Columbia
Description:
We show that for each prime p congruent to 1 (mod 8), there exists a threefold Xp such that the existence of certain rational points on Xp produces
families of generalized Mordell curves and of generalized Fermat curves
that are counterexamples to the Hasse principle explained by the
Brauer–Manin obstruction. We also introduce a notion of the descending
chain condition (DCC) for sequences of curves, and prove that there are
sequences of generalized Mordell curves and of generalized Fermat curves
satisfying DCC.
Other Information:
Location: ESB 2012