# Full Seminar Archive

Our regular seminar program covers a broad range of topics from applied mathematics, pure mathematics and statistics. All staff and students are welcome. This page has a complete list of past seminars and a list restricted by year can be accessed via the left-hand menu.

Behrouz Taji - University of Sydney
A celebrated conjecture in algebraic geometry, which goes back to Shafarevich, predicts that variation in many  families of projective complex manifolds can be in some sense measured by the canonical...

Bregje Pauwels - University of Sydney
To any tensor-triangulated category $T$, there is a natural way to associate a site and a sheaf cohomology. The objects in this site are the commutative separable monoids in $T$. For instance, if $T... Daniel Hauer - University of Sydney The fundamental gap conjecture states that the difference of the 2nd and 1st eigenvalue of the Schroedinger operator equipped with a bounded potential in a convex bounded region in$\R^{d}$with... Michael Coons - University of Newcastle For some time now, I have been trying to understand the intricacy and complexity of integer sequences from a variety of different viewpoints and at least at some level trying to reconcile these... Jonathan Spreer - University of Sydney Triangulating manifolds, i.e., decomposing them into a finite number of simple pieces, enables us to computationally tackle topological problems in geometric topology. Representing a given... Kam Hung Yau - University of New South Wales The Goldbach conjecture states that all even integer greater than 2 is a sum of two primes. Currently we do not have sufficient tools to prove this conjecture but we can obtain the following... Jorge Mello - University of New South Wales A famous integrality result due to Siegel says that genus one curves have a finite number of integral Solutions. In this talk we will recall some analogous results in the context of arithmetic... Anne Thomas - University of Sydney The notion of divergence of geodesics was introduced by Gromov in the 1980s as a way of quantifying how fast a pair of geodesic rays in a space move away from each other. Gersten then used this idea... Anna Romanov - University of Sydney Whittaker modules are certain representations of Lie algebras which were first studied by Kostant for their relationship to the Whittaker equation in number theory. From a representation-theoretic... Yusra Naqvi - University of Sydney Many simplicial complexes which are important from a combinatorial, geometric or representation-theoretic perspective have enormous symmetry groups. Associated to the action of a group$G\$ on a...