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Grant Award View - GA2349-V1

Affine flags, folded galleries and euclidean reflection groups

Contact Details

ARC NCGP General Enquiries

Phone:
02 6281 6600

Email Address:

GA ID:
GA2349-V1
Agency:
Australian Research Council
Approval Date:
10-Nov-2017
Variation Publish Date:
2-May-2018
Variation Date:
18-Sep-2018
Category:
Science, Technology, Engineering and Mathematics (STEM) Research
Grant Term:
18-Sep-2018 to 17-Sep-2021
Value (AUD):
$317,288.00 (GST inclusive where applicable)
Varies:
GA2349 - Affine flags, folded galleries and euclidean reflection groups

Ad hoc/One-off:
No
Aggregate Grant Award:
No

PBS Program Name:
ARC 17/18 Discovery
Grant Program:
Discovery Projects
Grant Activity:
Affine flags, folded galleries and euclidean reflection groups
Purpose:
This project aims to answer important geometric questions about subvarieties of the affine flag variety which are fundamental to algebraic geometry and number theory. It will answer basic questions about these central objects of mathematics, affine flags and their subspaces, using powerful new methods which combine ideas from geometry and algebra. The project expects to include finding the patterns of non-emptiness of these subvarieties and formulae for their dimension. It will develop and apply new methods which combine folded galleries and the geometry of Euclidean reflection groups, and these methods will have applications in algebraic combinatorics and representation theory. The project will also inspire productive connections between geometric group theory, a new and fast-growing area, and the classical fields of algebraic geometry, algebraic combinatorics and representation theory.

Internal Reference ID:
DP18 Round 1
Selection Process:
Targeted or Restricted Competitive

Confidentiality - Contract:
No
Confidentiality - Outputs:
No

Grant Recipient Details

Recipient Name:
The University of Sydney
Recipient ABN:
15 211 513 464

Grant Recipient Location

Suburb:
SYDNEY
Town/City:
SYDNEY
Postcode:
2000
State/Territory:
NSW
Country:
AUSTRALIA

Grant Delivery Location

State/Territory:
NSW
Postcode:
2000
Country:
AUSTRALIA

Contact Details

ARC NCGP General Enquiries

Phone:
02 6281 6600

Email Address: