SMRI Seminar List

2021 May 20

Upcoming Seminars

[expand title=”More information” excerpt=”SMRI Seminar
Thursday, 3 June 2021, 15:30 –16:30
Uri Onn, Australian National University
Seminar title: Base change and representation growth of arithmetic groups

” excerptpos=”above-trigger”]Location: The Quadrangle S225 (University of Sydney staff, students and affiliates only) and via Zoom
Abstract: A group is said to have polynomial representation growth if the sequence enumerating the isomorphism classes of finite dimensional irreducible representations according to their dimension is polynomially bounded. The representation zeta function of such group is the associated Dirichlet generating series. In this talk I will focus on representation zeta functions of arithmetic groups and their properties. I will explain the ideas behind a proof of a variant of the Larsen-Lubotzky conjecture on the representation growth of arithmetic lattices in high rank semisimple Lie groups (joint with Nir Avni, Benjamin Klopsch and Christopher Voll) and analogous results for arithmetic groups of type A_2 in positive characteristic (joint with Amritanshu Prasad and Pooja Singla).
Registration: Zoom meeting link[/expand]

[expand title=”More information” excerpt=”SMRI Seminar
Thursday, 10 June 2021, 15:30 –16:30
Behrouz Taji, University of Sydney
Seminar title: Projective families of varieties through birational geometry and Hodge theory

” excerptpos=”above-trigger”]Location: The Quadrangle S227 (University of Sydney staff, students and affiliates only) and via Zoom
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 Kovacs 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 Kovacs (University of Washington).
Registration: Zoom meeting link[/expand]

[expand title=”More information” excerpt=”SMRI Algebra and Geometry Online
Thursday, 17 June 2021, 15:30 –17:00
Magdalena Boos, Ruhr University Bochum
Seminar title: TBA

” excerptpos=”above-trigger”]Location: The Quadrangle S227 (University of Sydney staff, students and affiliates only) and via Zoom
Abstract: TBA
Registration: Link to come[/expand]

Past seminars

[expand title=”View seminar” excerpt=”SMRI Seminar
Thursday, 20 May 2021, 15:30 –16:30
Stephan Tillmann, University of Sydney
Seminar title: On the space of properly convex projective structures

” excerptpos=”above-trigger”]Abstract: This talk will be in two parts. I will outline joint work with Daryl Cooper concerning the space of holonomies of properly convex real projective structures on manifolds whose fundamental group satisfies a few natural properties. This generalises previous work by Benoist for closed manifolds. A key example, computed with Joan Porti, is used to illustrate the main results.
YouTube video[/expand]

[expand title=”View seminar” excerpt=”SMRI Applied Mathematics Seminar
13 May 2021
Reinout Quispel, La Trobe University
Seminar title: How to discover properties of differential equations, and how to preserve those properties under discretization