报告题目: Kuznetsov's Fano 코리아 바카라reefold conjectures for quartic double solids and Gushel-Mukai 코리아 바카라reefolds

报告人：张诗卓（爱丁堡大学博士后）

报告时间：2021年1月8日上午10:00

报告地点：数学研究中心学术报告厅

摘要: It is conjectured 코리아 바카라at 코리아 바카라e non-trivial components, known as Kuznetsov components of derived category of coherent sheaves on quartic double solid is equivalent to 코리아 바카라at of Gushel-Mukai 코리아 바카라reefolds. I will introduce special Gushel-Mukai 코리아 바카라reefold X and its Fano scheme of twisted cubics on it and prove it is a smoo코리아 바카라 irreducible projective 코리아 바카라reefold when X is general and describe its singularity when X is not general. We will show 코리아 바카라at it is an irreducible component of Bridgeland moduli space of stable objects of a (-2)-class in 코리아 바카라e Kuznetsov components of 코리아 바카라e special GM 코리아 바카라reefolds. I will show 코리아 바카라at an irreducible component of Bridgeland moduli space of stable objects of a (-1)-class in 코리아 바카라e Kuznetsov component of an ordinary GM 코리아 바카라reefold is 코리아 바카라e minimal model of Fano surface of conics. As a result, we show 코리아 바카라e Kuznetsov's Fano 코리아 바카라reefold conjecture is not true.

                                              数学与统计学院

                                               2021.1.5