**Workshop "****Hilbert's
Sixth Problem****"**

**University of
Leicester, May 02-04, 2016**

** **

**The main aims of the workshop are**

1. To facilitate interdisciplinary discussion across key mathematical and physical disciplines involved in solution of Hilbert's sixth problem about the state of art.

2. To synthetize an integral interdisciplinary point of view on Hilbert's sixth problem and renew the programmatic call in the light of the latest achievements.

3. To provide guidance to early career researchers via an indication of future research directions in Hilbert's sixth problem.

4. To disseminate the modern achievements and renewed programmatic call in a series of review publications.

** **

**Model reduction across disciplines**

19-22 of August 2014, University of Leicester, UK

International conference

**Modelling Biological Evolution 2015:
Linking Mathematical Theories with Empirical Realities**** **

April 28 - May 1, 2015, University of Leicester, UK

** **

**18 June, 2012, 2PM, room
119, Michael Atiyah Building.**

A famous mathematician, Yuri Matiyasevich, will visit us and give a talk.

**New conjectures about zeros of Riemann's
zeta function**

**Free flow turbines and
their efficiency**** **

Research and Industry Workshop

(**May
06, 2011**, University of Leicester, Leicester, UK).

University Campus, Michael Atiyah Building, MAB119 from 09:30

Participation is Free, Everybody is Welcome

**Most of
hydraulic turbines** that are presently used
for hydropower generation have been developed for installation in water dams
across streams. However, dams damage the environment and interfere with fish
migration. They also cannot be used for power systems extracting energy from
such huge potential sources as ocean currents or lowgrade rivers. Thus, new
hydraulic turbines are needed that can operate efficiently in free flow without
dams. The principal difference between exploiting high-head and free flow
turbines is that the latter need large flow openings to capture as much water
masses as possible with low velocities and pressure. It was demonstrated that
the efficiency of a free flow turbine is maximal when the resistance is of a
free flow turbine rather small and a large part of the flow (~61 percent) goes
through.

**During this workshop we plan to discuss**
recent development of free flow turbines theory and practice, to compare
various constructions of turbines and to analyse possible efficiency of them.
The talks about related topics from gas and fluid dynamics, energy systems
engineering and mathematical modelling are also welcome

Research
Workshop: **The Enigma of Enceladus: Observation and
Modeling**

**University of Leicester,
UK, June 19-20 2009**

**Organizers:**

**Purpose:**

Purpose of the workshop is to bring together leading experts to present and
discuss recent results from observations and modelling efforts. Topics include
Enceladus' history and evolution, surface properties and processes, heat
sources, heat flow, internal structure, chances for liquid subsurface water,
perspectives for formation of life, the gas and dust plume, as well as the
interaction with the Saturnian environment.

**Research Workshop: Coping with Complexity: Model Reduction and Data Analysis, ****Ambleside, Lake District, UK August 31 – September 4, 2009.**

The theme of the workshop is deliberately broad in scope and aims at promoting an informal exchange of new ideas and fresh methodological perspectives in the increasingly important, inherently interdisciplinary areas of model reduction, data analysis, approximation and visualization in the presence of complexity. The goal of this initiative is to assemble a group of people with a wide variety of expertise reflecting the thematically interdisciplinary nature of the workshop, to organize a series of presentations and to encourage fruitful discussions in an informal and casual format, thus circumventing some of the “language barriers” often unnecessarily experienced by researchers representing different disciplines.

**The
broad thematic structure** of the workshop is organized around the following list of
topics:

1) **Theoretical Approaches**
(deterministic and stochastic): Invariant manifolds, inertial manifolds,
perturbation theory, approximation theory, normal form theory

2) **Computational and Algorithmic Approaches**: Legacy codes and timesteppers,
numerical computation of invariant manifolds, invariant grids, coarse-graining approaches

3) **Data analysis and approximation techniques: **Principal manifolds, dimension reduction
methods, data visualization approaches and their applications.

4) **Fields of Applications**:
Non-equilibrium statistical mechanics, kinetic theory, hydrodynamics and mechanics
of continuous media, (bio)chemical kinetics,
bioinformatics, particulate systems, nonlinear dynamics, nonlinear control.

Research
workshop: **Mathematics of Model
Reduction**, University of Leicester, Leicester, UK August 28 to August 30,
2007.

The workshop is designed in a manner that aims at the development of a fruitful dialogue amongst the participants, as well as an informal exchange of new ideas, fresh methodological perspectives and novel approaches to the increasingly important problem of Model Reduction that transcends the traditional boundaries of the main fields in contemporary science and engineering.

Information about previous Model reduction workshops is available online:

Proceedings volume of 2005 workshop is still online (temporarily)

Research Workshop: **Lattice Boltzmann at all-scales: from turbulence to DNA translocation**,
Centre for Mathematical Modelling, 15 November 2006, 10:00-16:30, University of
Leicester, Leicester, UK

The lattice Boltzmann (LB) method was developed nearly two decades ago as an alternative strategy for the numerical solution of the Navier-Stokes equations of fluid dynamics. By and large, this task has met with significant success, to the point that, as of today, LB is routinely used for the numerical investigation of a wide range of macroscopic flows, from multiphase flows in porous media, to fully-developed turbulent flows in complex geometries.

Distinguished Lecture: **Lattice Boltzmann at all-scales: from
turbulence to DNA translocation**; Sauro Succi. 15 November 2006, 17:00,
Lecture Theatre 1, Ken Edwards Building,
University of Leicester,
Leicester, UK

In this Lecture, after a brief review of the basic ideas behind the LB theory, we shall discuss these ongoing developments, and present some very recent applications to micro and nanofluidics, such as drag reduction via superhydrophobicity and hydrodynamic effects on DNA translocation.

August 24-26, 2006, Leicester University, Leicester, UK

The problems of ** Large
Data Sets analysis and visualisation, model reduction and the struggle with complexity
of data sets** are important for many areas of human activity. There
exist many scientific and engineering communities that attack these problems
from their own sides, and now special efforts are needed to organize
communication between these groups, to support exchange of ideas and technology
transfer among them. Heuristic algorithms and seminal ideas come from all
application fields and from mathematics also, and mathematics has a special
responsibility to find a solid basis for heuristics, to transform ideas into
exact knowledge, and to transfer the resulting ideal technology to all the
participants of the struggle with complexity.

The workshop ** “Principal
manifolds for data cartography and dimension reduction,”** was focused on
modern theory and methodology of geometric data analysis and model reduction.
Mathematicians, engineers, software developers and advanced users form
different areas of applications will attend this workshop. The Proceeding volume is
temporarily available online.

Research
workshop: **Geometry
of Genome: **Visualization of Structures Hidden in Genomic Sequences. University
of Leicester, Leicester, UK, September 22 – 24, 2005.

The post-genomic era is characterized by the knowledge of hundreds of completed genomic sequences. Analysis of these sequences shows that there are common principles of organization of sequence information. Some of the most powerful methods available for understanding these principles are based on the geometric representation of genome features. That is, one can study properties of genomic sequences by representing them in multidimensional spaces defined by their local properties. In most cases these representations appear to be structured and organized in a complex hierarchical way. Methods from a variety of scientific disciplines, such as dimensional reduction and data visualization, as well as methods dealing with the geometry of multidimensional spaces help to detect and analyze the structures. The geometric representation is also an important tool for data mining.

Research workshop: **"Model
Reduction and Coarse-Graining Approaches for Multiscale Phenomena"** University
of Leicester, Leicester, UK, August 24-26, 2005.

The theme of the workshop is deliberately broad in scope and aims at promoting an informal exchange of new ideas and fresh methodological perspectives in the increasingly important area of model reduction and coarse graining for multiscale phenomena.

Research
workshop:

Research
workshop: **"Invariance and Model
Reduction for Multiscale Phenomena,"** ETH, Zurich ETH-Zentrum, August 26-29, 2003

The
main thematic areas of the workshop:

1) Invariant and Inertial Manifolds: Theoretical and Computational Approaches

2) Invariance and Model Reduction: Theoretical and Computational Approaches

3) Specific areas of study represented in the workshop: Non-equilibrium
statistical mechanics, kinetic theory, hydrodynamics and mechanics of
continuous media, (bio)chemical kinetics, nonlinear control theory, nonlinear
estimation theory, perturbation theory, classical mechanics, coarse-graining
approaches