• January 8
Will turner (Aberdeen)
"Dynkin donuts"
 
• January 18 at 2pm
Mark Pollicott (Warwick)
"Integrals, Lyapunov exponents and entropy rates"
Abstract
 
• January 25 at 3.15pm
Jonathan Kirby (UeA)
"Finitely Presented Exponential Fields"
Abstract
 
• February 1
Nikolay Nikolov (Imperial College London)
"Bounded generation and wreath products"
 
• February 8 at 2pm
Grzegorz Plebanek (Mathematical Institute, Wroclaw)
"On measure-theoretic properties of Rosenthal compacta"
 
• February 9 at 4pm
Marco Ferreira 
"The geometries of the Hrushovski constructions"
Abstract
 
• February 15 at 2.30pm
Alan Camina (UeA)
"Some thoughts and questions about automorphisms of symmetric designs"
Abstract
 
• February 22 at 2pm
David H. Fremlin (Essex)

 
• March 1 at 2pm
Colva M Ronay-Dougal (St Andrews)

 
• March 15 at 3.15pm
Maria Chlouveraki (Edinburgh)

 
• May 10
Ali Enayat (American University, Washington)

 

A list of past seminars can be found here.

For further information contact Oren Kolman or Jeremie Guilhot.

Abstract

 
Integrals, Lyapunov exponents and entropy rates
Many interesting quantities in mathematics can only be estimated, rather than presented. In some particular cases, there is a dynamical approach based on periodic points which is quite efficient. We illustrate this viewpoint with a number of examples.

 

Finitely Presented Exponential Fields
Exponential fields are fields with an operation of exponentiation as well as addition and multiplication. I will explain how they can be described by finite sets of generators and relations, in analogue to finitely generated extensions of fields, or finite presentations of groups. I will then discuss what this means for complex exponentiation and give some open problems.

 

The geometries of the Hrushovski constructions
In 1984 Zilber conjectured that any strongly minimal structure is geometrically equivalent to one of the following types of strongly minimal structures in the appropriate language: pure sets, vector spaces over a fixed division ring and algebraically closed fields.
In 1993 Hrushovski produced a family of counter examples to the conjecture. Each one of these counter examples carry a geometry. We answer a question of Hrushovski about comparing these geometries and their localization to finite sets. We show that the geometries obtained are isomorphic to each other, in particular this proves that the counter-examples arising from Hrushovski's construction are geometrically equivalent to each other.

 

Some thoughts and questions about automorphisms of symmetric designs
In this lecture I consider some observations about automorphisms of symmetric designs. In recent years there has been some new work on on symmetric designs which have flag-transitive flag-transitive. The idea is to review some of these results and to make some comments on a way forward.