A CIMPA research school on Group Actions in Arithmetic and Geometry

nt.number-theory rt.representation-theory
Start Date
2020-02-17 
End Date
2020-02-28 
Institution
Gadjah Mada University 
City
Yogyakarta, Indonesia 
Country
Indonesia 
Meeting Type
Cimpa research school 
Homepage
http://www.rnta.eu/Yogyakarta2020/ 
Contact Name
Valerio Talamanca 

Description

The concept of a group is central to essentially all of modern mathematics. In Number theory and geometry, where groups take central stage in various shapes such as symmetry groups, Galois groups, fundamental groups, reflection groups and permutation groups, the conceptual unification that it provides is most strikingly illustrated. The School will help the students acquiring a good background on the Langlands program, which, after all, is about relations between symmetries in geometry, analysis and number theory. In this school, we present groups and the natural objects they act on in a variety of arithmetic and geometric contexts. Special emphasis will be given to concrete examples, and practical and computational aspects of groups and their actions will be stressed. The topics to be treated include finite fields, coding theory, covering spaces, representation theory, modular forms and Galois theory.

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