Видеотека: O. Debarre, Gushel--Mukai varieties with many symmetries and an explicit irrational Gushel--Mukai threefold

ВИДЕОТЕКА


Однодневная конференция памяти В. А. Исковских 22 декабря 2020 г. 12:00, г. Москва, МИАН

Gushel–Mukai varieties with many symmetries and an explicit irrational Gushel–Mukai threefold O. Debarre
Аннотация: We construct an explicit complex smooth Fano threefold with Picard number 1, index 1, and degree 10 (also known as a Gushel–Mukai threefold) and prove that it is not rational by showing that its intermediate Jacobian has a faithfull $\mathrm{PSL}(2,\mathbf{F}_{11}) $-action. Along the way, we construct Gushel–Mukai varieties of various dimensions with rather large (finite) automorphism groups.The starting point of all these constructions is an EPW sextic with a faithful $\mathrm{PSL}(2,\mathbf{F}_{11}) $-action discovered by Giovanni Mongardi in his thesis in 2013 and all this is joint work with him. Язык доклада: английский Website: https://mi-ras-ru.zoom.us/j/93049469322?pwd=bmNVaGhpMXFWU1QzbWcwa2RvblVGdz09 ^* Meeting ID: 930 4946 9322Пароль: 251604