Grant: Canada Research Chairs
University of British Columbia
$120,000.00
Algebraic Geometry and Geometric Representation Theory
FY 2018-19
Summary
Categorification is a philosophy in mathematics that suggests that much of the theory developed so far in a variety of areas is just a shadow of something deeper and more complex. In my research over the last few years I have been following this line of thinking to study several closely related fields: algebraic geometry (which is the study of polynomials), representation theory (roughly, the study of matrices) and topology (the study of surfaces, knots and other more complicated shapes).*By thinking one level higher this philosophy has found surprising applications in the fields mentioned above. A shadow gives you only a rough (and possibly wrong) depiction of the real nature of things. Discovering the actual object can reveal amazing and unexpected detail. In the same way, categorification has revealed new, remarkable, deep structures in mathematics.
Program
Canada Research Chairs
Recipient
Location
British Columbia, Canada
Recipient Type
Academia
Type
Grant
Source
NSERC's Awards Data
As published
Application id
1000229452-2013
Name nom
Cautis, Sabin
Department département
Mathematics
Organization id
2
Institution établissement
University of British Columbia
Province en
British Columbia
Province fr
Colombie-Britannique
Country en
CANADA
Country fr
CANADA
Fiscal year exercice financier
2018
Competition year année de concours
2013
Award amount
120000
Program id
CRC
Program name en
Canada Research Chairs
Program name fr
Chaires de recherche du Canada
Group en
Discovery grants programs
Group fr
Programmes de subventions à la découverte
Committee code
9998
Committee name en
Canada Research Chair Selection Committee
Committee name fr
Comité de sélection des Chaires de recherche du Canada
Area of application code
9999
Area of application group en
Not available
Area of application group fr
Non disponible
Area of application en
Not available
Area of application fr
Non disponible
Research subject code
2900
Research subject group en
Pure mathematics
Research subject group fr
Mathématiques pures
Research subject en
Pure mathematics
Research subject fr
Mathématiques pures
Partie
0
Nb partie
NA
Application title
Algebraic Geometry and Geometric Representation Theory
Keyword
NSERC
Application summary
Categorification is a philosophy in mathematics that suggests that much of the theory developed so far in a variety of areas is just a shadow of something deeper and more complex. In my research over the last few years I have been following this line of thinking to study several closely related fields: algebraic geometry (which is the study of polynomials), representation theory (roughly, the study of matrices) and topology (the study of surfaces, knots and other more complicated shapes).*By thinking one level higher this philosophy has found surprising applications in the fields mentioned above. A shadow gives you only a rough (and possibly wrong) depiction of the real nature of things. Discovering the actual object can reveal amazing and unexpected detail. In the same way, categorification has revealed new, remarkable, deep structures in mathematics.
