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...

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