Project description
Geometric representation theory, the Langlands program and motives
The field of mathematics often seems abstract to non-experts, yet it is the foundation for explaining many everyday physical, biological and chemical phenomena, and even many dynamic social and economic constructs. With the support of the Marie Skłodowska-Curie Actions programme, the REMOLD project will develop a network of doctoral candidates to investigate and advance important topics in representation theory, algebraic geometry and number theory. It will focus on geometric representation theory and the so-called Langlands program – also referred to as a ‘grand unified theory of mathematics’ – leveraging recent mathematical innovations from the field of motives. A leading European quantum computing company will participate in training the students.
Objective
Numerous advances impacting society, from basic science to consumer technology, are built on fundamental research in mathematics. Examples include non-Euclidean geometry (leading to general relativity, and then GPS navigation); number theory (leading to public-key cryptography, and then to secure online commerce); and topology (with applications in image recognition and medical diagnostics).
This doctoral network, ReMoLD: Representations, Motives and Langlands Duality, will advance fundamental research in three highly active fields of mathematics: representation theory, algebraic geometry and number theory. Specifically, ReMoLD is at the forefront of research in geometric representation theory and the Langlands program using recent mathematical innovations from the field of motives.
ReMoLD will build a European network of doctoral candidates that excels in fundamental research in mathematics, implements innovative training formats and partners with a leading European quantum computing company, in order to form a group of scientists ready to apply to highly competitive positions in academia and industry.
Fields of science
- natural sciencesphysical sciencesrelativistic mechanics
- natural sciencescomputer and information sciencesartificial intelligencecomputer visionimage recognition
- natural sciencesmathematicspure mathematicsarithmetics
- natural sciencesmathematicspure mathematicsgeometry
- natural sciencesmathematicspure mathematicsalgebraalgebraic geometry
Keywords
Programme(s)
- HORIZON.1.2 - Marie Skłodowska-Curie Actions (MSCA) Main Programme
Funding Scheme
HORIZON-TMA-MSCA-DN - HORIZON TMA MSCA Doctoral NetworksCoordinator
35122 Padova
Italy