printable pdf
比利时vs摩洛哥足彩 ,
university of california san diego

****************************

math 209 - number theory seminar

zuhair mullath

university of massachusetts, amherst

unobstructed galois deformation problems associated to gsp(4)

abstract:

to a cuspidal automorphic representation of gsp(4) over $\mathbb q$, one can associate a compatible system of galois representations $\{\rho_p\}_{p \; \mathrm{prime}}$. for $p$ sufficiently large, the deformation theory of the mod-$p$ reduction $\overline \rho_p$ is expected to be unobstructed -- meaning the universal deformation ring is a power series ring. the global obstructions to deforming $\overline \rho_p$ is controlled by certain adjoint bloch-kato selmer groups, which are expected to be trivial for $p$ large enough. \\ \\ i will talk about some recent results showing that there are no local obstructions to the deformation theory of $\overline \rho_p$ for almost all $p$. \\ \\ this is joint work with m. broshi, c. sorensen, and t. weston.

host: kiran kedlaya

february 18, 2021

1:00 pm

location: see //www.ladysinger.com/\~{}nts/

****************************