Upcoming events

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.

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.

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.

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.

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?

Differential Geometry Seminar: Generalised Einstein metrics on Lie groups

Date: Fri, 30 Aug 2024, 11:10 am - 12:00 pm
Location: Engineering Nth N158

The generalised Einstein condition is the analogue of Ricci flatness in the context of generalised geometry. It appears naturally as one of the equations of motion of certain supergravity theories, and it involves not only a metric but also a closed 3-form and a divergence operator on our manifold.

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