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Instituto de Matemáticas Aplicadas UCV
Zenteno, Adrián

Zenteno, Adrián

Doctor en Ciencias Matemáticas, Universidad Nacional Autonoma de México

adrian.zenteno@pucv.cl

(+56) 32 2274001

Pagina del academico

Research Interests

My main research interests focus on arithmetic geometry. More specifically, my research is devoted to the problem of big image of compatible systems of Galois representations associated to automorphic representations, via the Langlands correspondece and Langlands functoriality, and its consequences on the inverse Galois problem.

Publications

  • On the images of the Galois representations attached to generic automorphic representations of GSp(4) (with L. Dieulefait). Accepted in Ann. Scuola Norm. Sup. Pisa Cl. Sci. (5)
  • Lübeck’s classification of  representations of finite simple groups of Lie type and the inverse Galois problem for some orthogonal groups. J. Number Theory 206 (2020) 182-193.
  • On the images of the Galois representations attached to some RAESDC automorphic representations of GLn(AQ), Math. Res. Lett. 26 (2019), no. 3, 921-947.
  • Perfectoides: la revolucionaria idea de Peter Scholze. Motivos matemáticos. 1 (2018) no. 3.
  •  Constructing Hilbert modular forms without exceptional primes (with L. Dieulefait). Math. Z. 288 (2018), 199-215.

Projects

Proyecto Postdoctorado FONDECYT No. 3190474 “Langlands Program and Inverse Galois Problem”