Grant: Canada Research Chairs
The University of British Columbia
$100,000.00
Algebraic geometry
FY 2023-24
Summary
We lay out a series of related projects which tries to address fundamental questions ranging from low dimensional topology (the structure of knots and space around us) to mathematical physics (which is part of a much larger effort to understand the local and global structure of the universe). The new tools we develop for this purpose are inspired by and combine modern concepts and techniques in algebraic geometry and representation theory (two stalwarts of modern mathematics).
Program
Canada Research Chairs
Recipient
Location
British Columbia, Canada
Recipient Type
Academia
Type
Grant
Source
NSERC's Awards Data
As published
Application id
CRC-2018-00065
Name nom
Cautis, Sabin
Department département
Head Office
Organization id
2
Institution établissement
The University of British Columbia
Province en
British Columbia
Province fr
Colombie-Britannique
Country en
CANADA
Country fr
CANADA
Fiscal year exercice financier
2023
Competition year année de concours
2018
Award amount
100000
Program id
CRC
Program name en
Canada Research Chairs
Program name fr
Chaires de recherche du Canada
Group en
DISCOVERY RESEARCH
Group fr
RECHERCHE AXÉE SUR 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
10000
Research subject group en
The field of research available
Research subject group fr
The field of research available
Research subject en
Le domaine de recherche disponible
Research subject fr
Le domaine de recherche disponible
Field of research list codes
RDF10101
Field of research list names en
Pure mathematics
Field of research list names fr
Mathématiques pures
Application title
Algebraic geometry
Keyword
geometric representation theory
affine Grassmannian
categorification
coherent sheaves
categorical actions
factorization spaces
Satake category
perverse sheaves
flag varieties
cluster varieties
4d N=2 field theory
Application summary
We lay out a series of related projects which tries to address fundamental questions ranging from low dimensional topology (the structure of knots and space around us) to mathematical physics (which is part of a much larger effort to understand the local and global structure of the universe). The new tools we develop for this purpose are inspired by and combine modern concepts and techniques in algebraic geometry and representation theory (two stalwarts of modern mathematics).
