Reference number : GC-2017-Q1-03037, amendment number : , agreement type : G, recipient legal name : Murnaghan, Fiona (University of Toronto), recipient country : CA, recipient province : nan, recipient city : Ontario, recipient postal code : nan, program name english : Discovery Grants Program - Individual, program name french : Programme de subventions à la découverte - individuelles, program purpose english : My research forms part of the Langlands program, a branch of mathematics involving deep connections 
between number theory, automorphic forms, representation theory, and algebraic geometry. I study the properties 
of representations of certain matrix groups known as reductive p-adic groups. These matrix groups are defined in 
terms of number theory - the matrix entries belong to p-adic fields - these fields are nonarchimedean completions of number 
fields (finite extensions of the rational numbers). In recent years, there has been considerable interest in harmonic analysis 
on p-adic symmetric varieties and connections with the Langlands program. My work involves 
the study and construction of distinguished representations of reductive p-adic groups. These distinguished representations 
exhibit specific symmetry properties relative to the involution that defines the p-adic symmetric space. 
The basic building blocks in the theory of distinguished representations are the so-called relatively supercuspidal 
representations. My main focus is on construction of relatively supercuspidal representations and the study of their properties, 
particularly those that are relevant to the Langlands program., program purpose french : My research forms part of the Langlands program, a branch of mathematics involving deep connections 
between number theory, automorphic forms, representation theory, and algebraic geometry. I study the properties 
of representations of certain matrix groups known as reductive p-adic groups. These matrix groups are defined in 
terms of number theory - the matrix entries belong to p-adic fields - these fields are nonarchimedean completions of number 
fields (finite extensions of the rational numbers). In recent years, there has been considerable interest in harmonic analysis 
on p-adic symmetric varieties and connections with the Langlands program. My work involves 
the study and construction of distinguished representations of reductive p-adic groups. These distinguished representations 
exhibit specific symmetry properties relative to the involution that defines the p-adic symmetric space. 
The basic building blocks in the theory of distinguished representations are the so-called relatively supercuspidal 
representations. My main focus is on construction of relatively supercuspidal representations and the study of their properties, 
particularly those that are relevant to the Langlands program., agreement title english : Distinguished representations of reductive p-adic groups, agreement title french : Distinguished representations of reductive p-adic groups, agreement number : RGPIN, agreement value : 70000.0, agreement start date : 2017-05-10, agreement end date : nan, description english : nan, description french : nan, expected results english : nan, expected results french : nan, additional information english : Grant or Award spanning more than one fiscal year. (2017-2018 to 2022-2023), additional information french : Subvention ou bourse octroyée s'appliquant à plus d'un exercice financier. (2017-2018 à 2022-2023), owner organization : nserc-crsng, owner organization title : Natural Sciences and Engineering Research Council of Canada | Conseil de recherches en sciences naturelles et en génie du Canada