Back to Algebraic Geometry Seminar: Fall 2025
Algebraic Geometry Seminar
Date: Tuesday, Oct 28, 2025
Time: 3:30PM - 4:30PM
Location: LCB 323
Lisa Marquand
Courant Institute at New York University
Title |
Cubic fourfolds with birational Fano varieties of lines |
Abstract |
Cubic fourfolds have been classically studied up to birational equivalence, with an eye towards rationality problems. We will discuss two other notions of equivalence: Fourier-Mukai equivalence, and `hyperkahler equivalence’. We’ll discuss how these equivalences are conjecturely related. We will give new examples of pairs of cubic fourfolds satisfying all three equivalences. In particular, our examples will be pairs of birational cubic fourfolds, with birational Fano varieties of lines, a previously unknown phenomenon. This is joint work with Corey Brooke and Sarah Frei. |
Algebraic Geometry