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@10.165.80.8 (hbry8683) in SMS-SAML

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

***REMINDER TO REGISTER - SEMINAR TODAY***

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
https://uni-sydney.zoom.us/meeting/register/tZ0vduygrT4qHNMyplsBtr1bSuEIWj5ih-10
and Quad S227 (University of Sydney staff, students & affiliates only)

Abstract:
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 KovÃ¡cs
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 KovÃ¡cs (University of Washington).

Notes
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