# Seminar Archive - 2020

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

*Ayla Gafni - University of Mississippi*

Fix an elliptic curve $E$ over $\mathbb{Q}$. An ``extremal prime'' for $E$ is a prime $p$ of good reduction such that the number of rational points on $E$ modulo $p$ is maximal or minimal in...

*Dietmar Bisch - Vanderbilt University*

Subfactors of von Neumann factors have a rich representation theory that gives rise to interesting mathematical structures such as fusion categories, planar algebras or link invariants. They are...

*Dr. Simone Padoan - Bocconi University*

Expectiles define a least squares analogue of quantiles which have later received substantial attention in actuarial and financial risk management contexts. Unlike quantiles, expectiles define...

*Prof. Sidney Resnick - Cornell University*

We review a framework for assessing dependence in multivariate data that could plausibly come from a multivariate power law. The framework is allows multiple (even infinite) heavy tail regimes...

*Daniel Potts - Technische Universität Chemnitz, Germany*

In this talk, we present algorithms for the approximation of multivariate functions. We start with the approximation by trigonometric polynomials based on sampling of multivariate functions on rank-1...

*Stephan Baier - Ramakrishna Mission Vivekananda Educational and Research Institute*

Dirichlet's approximation theorem tells us that, given any irrational $\alpha$, the inequality $|\alpha-a/q| \le q^{-2}$ is satisfied for infinitely many fractions $a/q$ of coprime integers $a$ and $...

*Euan Spence - University of Bath, UK*

Boundary integral equations were introduced in the 19th century to study Laplace's equation. Today they are used extensively in applied maths and industry to compute approximations of the solutions...

*Raphael Steiner - Institute for Advanced Study*

The amplifying technique of Iwaniec and Sarnak has proven to be an influential tool when it comes to bounding sup-norms of automorphic forms. In their seminal work, they further mentioned how to...

*Sean Lynch - UNSW*

This is a colloquium style talk. We begin by introducing local and global fields, then look at the theory of central simple algebras over these fields. Our main focus is on maximal orders in the...

*Jinghao Huang - University of New South Wales*

In 1967, W.A.J. Luxemburg raised a problem: Determine all the extreme points of the set of elements majorised by an integrable function on an arbitrary finite measure space. The atomless case has...