NTS ABSTRACTFall2019: Difference between revisions

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Euclid

Infinitely many primes

We introduce the notion of a prime number, and show that there are infinitely many of those.

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-| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Yunqing Tang '''
+| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Euclid'''
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-| bgcolor="#BCD2EE"  align="center" | Reductions of abelian surfaces over global function fields
+| bgcolor="#BCD2EE"  align="center" | Infinitely many primes
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-| bgcolor="#BCD2EE"  | For a non-isotrivial ordinary abelian surface $A$ over a global function field, under mild assumptions, we prove that there are infinitely many places modulo which $A$ is geometrically isogenous to the product of two elliptic curves. This result can be viewed as a generalization of a theorem of Chai and Oort. This is joint work with Davesh Maulik and Ananth Shankar.
+| bgcolor="#BCD2EE"  | We introduce the notion of a prime number, and show that there are infinitely many of those.
 |}