Compactification des champs de chtoucas et théorie géométrique des invariants
One of the key points of L. Lafforgue’s proof of the global Langlands correspondence for GL(r) over function fields was a construction of suitable compactifications of moduli stacks of Drinfeld’s “shtukas” of rank r. In this volume, the author develops a new method, based on geometric invariant theory, for constructing compactifications of such moduli stacks. It is expected that this approach will be useful for establishing Langlands correspondence for more general reductive groups. The compactification obtained by the author includes those constructed earlier by Lafforgue. The same method is then applied to moduli stacks of shtukas with multiple modifications.