AbstractWe investigate approximations of the Riemann zeta function by truncations of its Dirichlet series and Euler product, and then construct a parameterized family of non-analytic approximations to the zeta function. Apart from a few possible exceptions near the real axis, each function in the family satisfies a Riemann Hypothesis. When the parameter is not too large, the functions have roug...
AbstractThe real form problem asks how many different ways one can describe a given complex variety by polynomial equations with real coefficients, up to isomorphisms over the real number field. In this talk, I will discuss some recent results about smooth complex projective varieties with infinitely many real forms. This talk is based on joint works with T.-C. Dinh, C. Gachet, H.-Y. Lin, K. Og...