SMS scnews item created by Hannah Bryant at Fri 21 May 2021 1147
Type: Seminar
Modified: Thu 10 Jun 2021 0935
Distribution: World
Expiry: 21 May 2022
Calendar1: 10 Jun 2021 1530-1630
CalLoc1: Quad S227 & via Zoom
CalTitle1: SMRI Seminar: Taji ’Projective families of varieties through birational geometry and Hodge theory’
Auth: hannahb@ (hbry8683) in SMS-SAML

SMRI Seminar: Taji -- Projective families of varieties through birational geometry and Hodge theory


SMRI Seminar
’Projective families of varieties through birational geometry and Hodge theory’
Behrouz Taji (The University of Sydney)

When: Thursday 10 June 3.30pm-4.30pm (AEST)
Where: via Zoom -register here
and Quad S227 (University of Sydney staff, students & affiliates only)

In the 1920s, building on Fermat’s Last Theorem, Mordell conjectured that the set of 
rational points of any smooth projective curve of genus at least two, over any number 
field, is finite. In the 1960s, Shafarevich turned this into a purely algebro geometric 
conjecture involving families of smooth projective curves. Parshin , Arakelov and 
Faltings settled this conjecture by showing that the base spaces of such families are 
in some sense hyperbolic, as long as there is some variation in the algebraic structure 
of the fibers. Inspired by recent advances in Birational Geometry, Kebekus and Kovács 
conjectured that these hyperbolicity type properties should hold for a vast class of 
projective families, with fibers of arbitrary dimension. In this talk I will discuss 
this conjecture and my solution to it. I will also talk about more recent progress in 
this area, based on a joint work with Kovács (University of Washington).

University of Sydney staff, students & affiliates are also invited to join us for 
afternoon tea on the SMRI terrace at 3pm please note in your registration or email to RSVP.

This seminar will be recorded (participants only when asking questions) and uploaded 
to the SMRI YouTube Channel