Room 515, Cosmology Building, National Taiwan University + Zoom, Physical+Online Seminar
(實體+線上演講 台灣大學次震宇宙館515研討室+ Zoom)
Boundedness Theorems for Abelian Fibrations
Philip Engel (University of Illinois Chicago)
Abstract
I will discuss a proof that the number of deformation classes of symplectic varieties of fixed dimension, admitting a Lagrangian fibration, is finite (and analogous boundedness results for some other fibered K-trivial varieties). Conditional on the generalized semiampleness conjecture, we deduce a bound on the number of deformation classes of hyperkahler varieties in a fixed dimension, whose second Betti number is at least 5. This is joint work with Filipazzi, Greer, Mauri, and Svaldi.
Organizer: Flora Poon (NCTS)
