Some bounds on the projective invariants with respect to complexities
Speaker: Sijong Kwak (Korea Advanced Institute of Science and Technology - KAIST)

Time: 9h00,Wednesday, April 18, 2018
Location: Room semina 6 Flor, Building A6, Institute of Mathematics, 18 Hoang Quoc Viet, Cau Giay, Hanoi
Abstract: In this talk, we introduce very basic projective invariants of projective closed subscheme which are regarded as measures of the complexities of them. For examples, the reduction number, multiplicities, Castelnuovo-Mumford regularities of the homogeneous coordinate rings, the section rings, and graded Betti numbers of syzygies. I will give some upper bounds and lower bounds of those invariants and extremal cases can also be provided.