Multiple zeta values (MZVs) have recently attracted much attention, both in mathematics and theoretical physics. They form a subset of the real numbers with remarkable families of polynomial identities between them.
The prehistory of MZVs can be traced back to Euler in the 18th century. In the last 20 years the theory of MZVs has developed into a subject right at the forefront of modern mathematical research. It comprises several challenging problems and major conjectures, that call for sophisticated tools from modern mathematics. Indeed, MZVs stand at the intersection of several mathematical areas, such as, algebra, combinatorics, algebraic geometry, Lie group theory, and number theory. Furthermore, they have strong ties with quantum field theory.
By inviting leading experts this ESF Exploratory Workshop aims at shedding new light on the theory of MZVs and related topics via different approaches.
The European Science Foundation (ESF) was established in 1974 to create a common European platform for cross-border cooperation in all aspects of scientific research.
With its emphasis on a multidisciplinary and pan-European approach, the Foundation provides the leadership necessary to open new frontiers in European science. Its activities include providing science policy advice (Science Strategy); stimulating co-operation between researchers and organisations to explore new directions (Science Synergy); and the administration of externally funded programmes (Science Management). These take place in the following areas: Physical and engineering sciences; Medical sciences; Life, earth and environmental sciences; Humanities; Social sciences; Polar; Marine; Space; Radio astronomy frequencies; Nuclear physics.
Headquartered in Strasbourg with offices in Brussels, the ESF's membership comprises 78 national funding agencies, research performing agencies and academies from 30 European nations. The Foundation's independence allows the ESF to objectively represent the priorities of all these members.