# 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.

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...

Leonard Scott - University of Virginia
This talk is based on  joint work with Brian Parshall and Jie Du, in progress.  I will give some of the history and framework leading to the main conjecture we had made, asserting the existence of a...