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Project Information

DERIVED EQUIVALENCES INSPIRED BY MIRROR SYMMETRY

Agency:
NSF

National Science Foundation

Project Number:
1201466
Contact PI / Project Leader:
BORISOV, LEV A
Awardee Organization:
RUTGERS THE ST UNIV OF NJ NEW BRUNSWICK

Description

Abstract Text:
Borisov's project aims to further the understanding of derived categories of algebraic varieties, which are used to describe boundary conditions that govern the propagation of open strings. He will verify the expected derived equivalence of double mirror Calabi-Yau complete intersections in toric varieties. He will work to construct flat families of triangulated categories that interpolate between derived categories of different crepant resolutions of a toric singularity. Borisov will also attempt to settle the conjecture that states that birational algebraic varieties with the same canonical divisor are derived equivalent.

String theory is the leading physical candidate for the unified theory of the known physical forces. Despite steady progress in recent years, mathematical aspects of string theory are not yet adequately understood. This dearth of understanding is an obstacle to further development of string theory which is needed to connect it with the real world phenomena. Borisov will contribute to an active branch of mathematics research which is related to and is inspired by string theory, and will train a graduate student in this area of study.
Project Terms:
Area; Categories; Development; Family; graduate student; Mathematics; Research; Resolution; theories; Training; Work

Details

Contact PI / Project Leader Information:
Name:  BORISOV, LEV A
Other PI Information:
Not Applicable
Awardee Organization:
Name:  RUTGERS THE ST UNIV OF NJ NEW BRUNSWICK
City:  NEW BRUNSWICK    
Country:  UNITED STATES
Congressional District:
State Code:  NJ
District:  06
Other Information:
Fiscal Year: 2012
Award Notice Date:
DUNS Number: 001912864
Project Start Date: 01-May-2012
Budget Start Date:
CFDA Code: 47.049
Project End Date: 30-Apr-2015
Budget End Date:
Agency: ?

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National Science Foundation
Project Funding Information for 2012:
Year Agency

Agency: The entity responsible for the administering of a research grant, project, or contract. This may represent a federal department, agency, or sub-agency (institute or center). Details on agencies in Federal RePORTER can be found in the FAQ page.

FY Total Cost
2012 NSF

National Science Foundation

$179,924

Results

i

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