Cubic fourfolds, hyperkähler varieties and one-obstructed Lagrangians
Organizers
Speaker
Hanfei Guo
Time
Thursday, October 26, 2023 4:00 PM - 5:00 PM
Venue
YMSC-Jingzhai-304
Online
Zoom 638 227 8222
(BIMSA)
Abstract
Fano fourfolds and compact hyperkähler varieties are two important objects in the study of algebraic geometry. In this talk, we focus on a specific family of Fano fourfolds—cubic fourfolds. Then we investigate their connections with hyperkähler varieties from the perspectives of K3 categories, anti-symplectic involutions and one-obstructed Lagrangians. Besides, we discuss a specific example, the LLSvS eightfold, which serves as an object to illustrate the interplay between the three connections. Furthermore, motivated by Bottini’s work, we discuss a possible way of finding atomic Lagrangians of the LLSvS eightfold. This work is in progress.