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2023 Differential Geometry Seminars
- Date: Fri, 3 Mar - Fri, 24 Nov 2023
- Location: North Terrace Campus: Various locations (see below)
School of Mathematical Sciences – The University of Adelaide.
Differential Geometry Seminar: Reconciling dichotomies in holomorphic dynamics
- Date: Fri, 15 Mar 2024, 11:10 am - 12:00 pm
- Location: Lower Napier LG19
I will describe recent joint work with Leandro Arosio (University of Rome, Tor Vergata) in holomorphic dynamics.
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Differential Geometry Seminar: A higher index theorem on finite-volume locally symmetric spaces
- Date: Wed, 27 Mar 2024, 3:10 pm - 4:00 pm
- Location: Lower Napier LG18
Let G be a (connected, real, semisimple, real rank one) Lie group, and K a maximal compact subgroup. Let Gamma be a torsion-free, discrete subgroup of G.
Differential Geometry Seminar: Global Stability of Spacetimes with Supersymmetric Compactifications
- Date: Fri, 5 Apr 2024, 12:10 pm - 1:00 pm
- Location: Engineering North N218
Compact spaces with special holonomy, such as Calabi-Yau manifolds, play an important role in supergravity and string theory.
Differential Geometry Seminar: Killing tensors on complex projective space
- Date: Fri, 3 May 2024, 12:10 pm - 1:00 pm
- Location: Engineering North N218
The Killing tensors on the round sphere are well understood. In particular, these are finite-dimensional vector spaces with very nice formulae for their dimensions.
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Differential Geometry Seminar: Killing tensors on symmetric spaces
- Date: Fri, 17 May 2024, 12:10 pm - 1:00 pm
- Location: Engineering North N218
I will present some recent results on the structure of the algebra of Killing tensors on Riemannian symmetric spaces. The fundamental question is whether any Killing tensor field on a Riemannian symmetric space is a polynomial in (a symmetric product of) Killing vector fields.
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Differential Geometry Seminar: Nearly Kähler geometry and totally geodesic submanifolds
- Date: Fri, 31 May 2024, 12:10 pm - 1:00 pm
- Location: Engineering North N218
A theorem of Butruille asserts that the (simply connected, homogeneous) Riemannian manifolds of dimension six admitting a strict nearly Kähler metric are the round sphere S6, the space F(C3) of full flags in C3, the complex projective space CP3 and the almost product S3 x S3.
Workshop: Australia-China-Japan-Singapore-U.S. Index Theory

- Date: Mon, 24 - Thu, 27 Jun 2024
- Location: Flentje Lecture Theatre, Barr Smith South
This is the third edition of a series of international conferences on Index Theory. This year, it will be held at the University of Adelaide, Adelaide, Australia.
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Differential Geometry Seminar: An application of elliptic cohomology to quantum groups
- Date: Fri, 26 Jul 2024, 11:10 am - 12:00 pm
- Location: Barr Smith South 2052
I will start by reviewing quantum groups (including quantum groups at roots of unity, Yangians, etc) and their representation theory. I will then explain the construction of quantum groups using cohomology theories from topology.
Differential Geometry Seminar: Boundedness problems in algebraic geometry and their consequences
- Date: Fri, 16 Aug 2024, 11:10 am - 12:00 pm
- Location: Barr Smith South 2052
In 1960’s Shafarevich asked a simple question: Do families of curves of genus at least 2 (over a fixed base) have finite number of deformation classes?