| Abstract |
For families of varieties over a discrete valuation ring, Grothendieck’s theory of monodromy relates the geometry of the special fibre to the Galois representations associated to the \ell-adic cohomology of the generic fibre. In this talk, we explain its statement, compare with the classical monodromy theorem, together with its relation to reduction criteria for abelian varieties. Building on Grothendieck’s theorem, we then introduce a simple way to extend the statement and discuss an application. |
