4:00 pm Tuesday, September 7, 2010
Algebraic Geometry Seminar: The Picard group of the space of perfect cuboids
by
Damiano Testa (Oxford) in HB 227
A perfect cuboid is a rectangular box all of whose edges, face diagonals and long diagonal have (non-zero) integer length. The question about the existence of perfect cuboids goes back to Euler, and it is still unknown if perfect cuboids exist. The space S of all perfect cuboids is naturally a surface of general type. My talk is based on joint work with Michael Stoll. I will present a way to determine the Picard group of S, and, if time allows, I will also explain how the knowledge of the Picard group of S might help answer questions related to the existence of perfect cuboids. Host Department: Rice University-Mathematics
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