Rigidity of wonderful group compactifications under Fano deformations

Prof. Baohua Fu
2020-01-09 10:30-11:30
MCM110

Speaker: Prof. Baohua Fu (MCM)
Title: Rigidity of wonderful group compactifications under Fano deformations
Time: 10:30-11:30am, Jan 9, 2020
Place: MCM110
Abstract: For a complex connected simple linear algebraic group G of adjoint type, De Concini and Procesi constructed its wonderful compactification \bar{G}, which is a smooth Fano G\times G-variety enjoying many interesting properties. Assume G is not of type B3, it is shown that its wonderful compactification \bar{G} is rigid under Fano deformations. Namely, for any family of smooth Fano varieties over a connected base, if one fiber is isomorphic to \bar{G}, then so are all other fibers. This is a joint work with Qifeng Li (KIAS).