An old open question in symplectic geometry asks whether all
normalised symplectic capacities coincide for convex domains in the
standard symplectic vector space. I will show that this question
has a positive answer for smooth convex domains which...
Given a family of motives, the de Rham realization (a certain
vector bundle with integrable "Gauss-Manin" connection) can be
compared to the crystalline realizations for various primes p, but
the resulting Frobenius structures cannot be directly...