**Model-Theoretic
Methods in Number Theory and Algebraic Differential Equations**

**3
August – 5 August 2018, School of Mathematics, University of Manchester, UK**

** __________________________________________________________________________________________________________**

Registration Speakers/Participants
Programme/Abstracts Location

______________________________________________________________________________________________________________

**CLICK
HERE TO SEE THE CONFERENCE PHOTO**

**NOTE:** All talks will
take place in Frank Adams Room #1.212 located in the first floor (not ground
floor) of the Alan Turing building. Coffee breaks will be in the kitchen area
of the Atrium Bridge (next to Frank Adams Room).

In recent years model-theoretic
methods have produced sophisticated techniques that apply to various areas of
Mathematics, such as number theory, dynamical systems, and algebraic geometry.
Furthermore, a combination of model-theoretic and differential-algebraic tools
has yielded remarkable results in "counting points and bounding height
problems" in number theory and algebraic geometry. The goal of the meeting
is to bring together groups working on applications of model theory and
differential algebra to complex exponentiation, real-analytic geometry (using pfaffian systems), and problems in number theory. The
meeting will expose participants to the variety of connections that model
theory and differential algebra continue to have with number theory, algebraic
geometry, and analytic geometry.

The **main scientific topics** of the event will be (but are not restricted
to):

*1)
**analytic** o-minimal expansions of the reals,
*

*2)
**complex** exponentiation and Zilber fields, *

*3)
**differential**-exponential polynomial rings, *

*4)
**functional** transcendence, *

*5)
**model**-theoretic properties of algebraic-differential equations*

*6)
**differential** Galois theory.*

The conference will follow the
Differential Algebra and Related Topics meeting at the University of Leeds from
30 July to 2 August 2018. See DART
IX

For queries and further details
contact omar.sanchez@manchester.ac.uk

The meeting organizers are *Gareth Jones, Omar Le—n S‡nchez and Marcus Tressl.*

Supported by an LMS Conference Grant and
the School of Mathematics , University of Manchester.