Grant: Canada Research Chairs
Université du Québec à Montréal
$100,000.00
Canada Research Chair in Geometry and Topology of Manifolds
FY 2017-18
Summary
Singularities are omnipresent in the sciences and in everyday life, from breaking waves to the notion of black holes in Einstein's theory of relativity. Mathematics, more specifically geometry, provides the right language to describe and study them. This Canada Research Chair will focus on developing and using analytic tools to study the geometry and topology of singular spaces. Among them, spectral invariants are especially useful as they allow us to `hear' the shape of a singularity. The proposed research program has many implications for the geometry and topology of smooth varieties, as they can be decomposed into simpler singular pieces.
Program
Canada Research Chairs
Recipient
Location
Quebec, Canada
Recipient Type
Academia
Type
Grant
Source
NSERC's Awards Data
As published
Application id
1000231262-2016
Name nom
Rochon, Frédéric
Department département
Mathématiques
Organization id
57
Institution établissement
Université du Québec à Montréal
Province en
Québec
Province fr
Québec
Country en
CANADA
Country fr
CANADA
Fiscal year exercice financier
2017
Competition year année de concours
2016
Award amount
100000
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
Application title
Canada Research Chair in Geometry and Topology of Manifolds
Keyword
CRC
Application summary
Singularities are omnipresent in the sciences and in everyday life, from breaking waves to the notion of black holes in Einstein's theory of relativity. Mathematics, more specifically geometry, provides the right language to describe and study them. This Canada Research Chair will focus on developing and using analytic tools to study the geometry and topology of singular spaces. Among them, spectral invariants are especially useful as they allow us to `hear' the shape of a singularity. The proposed research program has many implications for the geometry and topology of smooth varieties, as they can be decomposed into simpler singular pieces.