3:30 am Thursday, October 5, 2017
Geometry: On the period maps for certain Horikawa surfaces and for cubic pairs. by Zheng Zhang (A&M) in RLM 9.160
It is an interesting problem to attach moduli meanings to locally symmetric domains via period maps. Besides the classical cases like polarized abelian varieties and lattice polarized K3 surfaces, such examples include quartic curves (by Kondo), cubic surfaces and cubic threefolds (by Allcock, Carlson and Toledo), and some Calabi-Yau varieties (by Borcea, Voisin, and van Geemen). In the talk we will discuss two examples along these lines: (1) certain surfaces of general type with p_g=2 and K^2=1; (2) pairs consisting of a cubic threefold and a hyperplane section. This is joint work with R. Laza and G. Pearlstein. Submitted by
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