Abstract

The 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. Oguiso, and L. Wang.