Grant: Discovery Grants Program - Individual
Bishop's University
$28,000.00
Cluster algebras and triangualtions of surfaces
EF 2009-10
Résumé
Cluster algebras form currently a very active area of research in mathematics. These algebras have been defined in 2000 to study questions from mathematical physics. Meanwhile, many connections could be established with various other mathematical disciplines like geometry, combinatorics or algebra.
Our research proposal is focused on questions that study the connection between the geometry of surfaces and certain algebraic objects, called string algebras. We aim at solving some of the problems stemming from mathematical physics, and also a very classical mathematical problem, formulated by Frobenius in 1913:
A triple (a,b,c) of natural numbers is called a Markoff triple if the sum of its squares equals three times its product. The famous conjecture is that the largest of these three numbers uniquely determines the two smaller ones.
Programme
Discovery Grants Program - Individual
Bénéficiaire
Emplacement
Quebec, Canada
Type de bénéficiaire
Academia
Type
Grant
Source
NSERC's Awards Data
Tel que publié
Application id
293166-2009
Name nom
Brüstle, Thomas
Department département
Natural Sciences and Mathematics, Division of
Organization id
45
Institution établissement
Bishop's University
Province en
Québec
Province fr
Québec
Country en
CANADA
Country fr
CANADA
Fiscal year exercice financier
2009
Competition year année de concours
2009
Award amount
28000
Program id
RGPIN
Program nane en
Discovery Grants Program - Individual
Program name fr
Programme de subventions à la découverte - individuelles
Group en
Discovery grants programs
Group fr
Programmes de subventions à la découverte
Committee code
336
Committee name en
Pure & Applied Maths - A
Committee name fr
Maths pures et appliquées - A
Area of application code
1205
Area of application group en
Advancement of knowledge
Area of application group fr
Avancement des connaissances
Area of application en
Mathematical sciences
Area of application fr
Sciences mathématiques
Research subject code
2908
Research subject group en
Pure mathematics
Research subject group fr
Mathématiques pures
Research subject en
Algebra
Research subject fr
algèbre
Partie
1
Nb partie
5
Application title
Cluster algebras and triangualtions of surfaces
Keyword
NA
Application summary
Cluster algebras form currently a very active area of research in mathematics. These algebras have been defined in 2000 to study questions from mathematical physics. Meanwhile, many connections could be established with various other mathematical disciplines like geometry, combinatorics or algebra.
Our research proposal is focused on questions that study the connection between the geometry of surfaces and certain algebraic objects, called string algebras. We aim at solving some of the problems stemming from mathematical physics, and also a very classical mathematical problem, formulated by Frobenius in 1913:
A triple (a,b,c) of natural numbers is called a Markoff triple if the sum of its squares equals three times its product. The famous conjecture is that the largest of these three numbers uniquely determines the two smaller ones.
