Baohua Fu (Chinese Academy of Sciences)

For a complex connected semisimple linear algebraic group G of adjoint type and of rank n, De Concini and Procesi constructed its wonderful compactification X, which is a smooth Fano G x G-variety of Picard number n enjoying many interesting properties. In this talk, it is shown that the wonderful compactification X is rigid under Fano deformations. Namely, for any family of smooth Fano varieties over a connected base, if one fiber is isomorphic to X, then so are all other fibers. This is a joint work with Qifeng Li.