<p>The volume is a collection of refereed research papers on infinite dimensional groups and manifolds in mathematics and quantum physics.</p> <p>Topics covered are: new classes of Lie groups of mappings, the Burgers equation, the Chern--Weil construction in infinite dimensions, the hamiltonian approach to quantum field theory, and different aspects of large <em>N</em> limits ranging from approximation methods in quantum mechanics to modular forms and string/gauge theory duality.</p> <p>Directed at research mathematicians and theoretical physicists as well as graduate students, the volume gives an overview of important themes of research at the forefront of mathematics and theoretical physics.</p>
