# 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.

*Umberto Zannier - Scuola Normale Superiore Pisa*

We shall consider elliptic pencils, of which the best-known example is probably the Legendre family $L_t$: $y^2=x(x-1)(x-t)$ where $t$ is a parameter. Given a section $P(t)$ (i.e. a family of ...

*Maryna Viazovska - EPFL*

In this lecture we will show that the E8 and Leech lattices minimize energy for a wide class of potential functions. This theorem implies recently proven optimality of E8 and Leech lattices as...

*Dzmitry Badziahin - University of Sydney*

In this talk we discuss the approximation of transcendental numbers by algebraic numbers of given degree and bounded height. More precisely, for any real number $x$, by $w_n^*(x)$ we define the...

*David Warton and Vera Roshchina - UNSW Sydney*

Online conferences are fast becoming the norm: But how do you run one successfully?
In June, the International Statistical Ecology Conference (vISEC2020), originally planned as a physical conference...

*David Conlon - Caltech*

The random algebraic method is a means of constructing examples in extremal combinatorics with some of the best properties of both algebraic constructions and probabilistic ones. This method has seen...

*Ilya D. Shkredov - Steklov Mathematical Institute, Moscow*

Zaremba's conjecture belongs to the area of continued fractions. It predicts that for any given positive integer $q$ there is a positive $a$, $a < q$, $(a,q)=1$ such that all partial quotients $...

*Julie Tzu-Yueh Wang - Academia Sinica*

Pisot's $d$-th root's conjecture, proved by Zannier in 2000, can be stated as follows. Let $b$ be a linear recurrence over a number field $k$, and $d\ge2$ be an integer. Suppose that $b(n)$ is...

*Marcos Origlia - Monash University*

During this talk I will recall some basic definitions involved in the notion of locally conformal Kähler (LCK) manifolds (complex structure, symplectic form, Kähler metric, etc.). I'll focus on LCK...

*Alexander Smith - Harvard University*

I will discuss some new results on the structure of Selmer groups of finite Galois modules over global fields. Tate's definition of the Cassels-Tate pairing can be extended to a pairing on such...

*Martina Rovelli - Australian National University*

Ordinary category theory provides a formal language to explain similar phenomena that happen in various contexts, enabling the transfer of ideas from one area of study to another. For many relevant...