De Yunqing Tang
Chavdarov and Zywina showed that after passing to a suitable field extension, every abelian surface A with real multiplication over some number field has geometrically simple reduction modulo p for a density one set of primes p. One may ask whether its complement, the density zero set of primes p such that the reduction of A modulo p is not geometrically simple, is infinite. Such question is analogous to the study of exceptional mod p isogeny between two elliptic curves in the recent work of Charles. In this talk, I will discuss how to apply Charles's method to the setting of certain abelian surfaces with real multiplication. This is joint work with Ananth Shankar.
De Jean-Benoît Bost
De Jean-Benoît Bost
De Per Salberger
De Per Salberger
De Per Salberger
De Per Salberger
De Antoine Chambert-Loir
De Antoine Chambert-Loir
De Antoine Chambert-Loir
De Antoine Chambert-Loir
De Romain Dujardin
De Romain Dujardin
De Romain Dujardin
De Zhizhong Huang
De Fabrizio Andreatta
De Fabrizio Andreatta
De Fabrizio Andreatta
De Fabrizio Andreatta
De Fabrizio Andreatta
De Yunqing Tang
De Gerard Freixas I Montplet
De Gerard Freixas I Montplet
De Ana-Maria Castravet
De Ana-Maria Castravet
De Ana-Maria Castravet
