[특강] Lorentzian Lattices of Algebraic Geometry

일시 : 2018.05.18. (금) 오후 04:30 – 오후 05:30
장소 : 아산이학관 526호
연사 : 이재혁 (이화여자대학교)
제목 : Lorentzian Lattices of Algebraic Geometry

초록: In this talk, we discuss the E_n type root lattices embedded within the standard Lorentzian lattice Z_n^{n+1} (3 \leq n \leq 8) and their discrete geometry from the point of view of del Pezzo surface geometry. We also introduce the notions of line vectors, rational conic vectors, and rational cubic vectors and discuss the relation between these special vectors and the combinatiorics of the Gosset polytopes of type (n − 4)_{21}. This is a joint work with Adrian Clingher.