UNIVERSITY OF CHICAGO, THE
Award ended in September 2010 and all work was completed at that time.
| AWARD OVERVIEW |
| Award Number |
0901707 |
Funding Agency |
National Science Foundation |
| Total Award Amount |
$35,599 |
Project Location - City |
CHICAGO |
| Award Date |
06/29/2009 |
Project Location - State |
IL |
| Project Status |
Completed |
Project Location - Zip |
60637-5418
|
| Jobs Reported |
0.00 |
Congressional District |
01 |
| Project Location - Country |
US |
|
|
Recipient Information
(Grants)
| Recipient Information (Grants) |
|
Recipient Name
|
UNIVERSITY OF CHICAGO, THE |
| Recipient DUNS Number |
005421136
|
| Recipient Address |
5801 S ELLIS AVE |
| Recipient City |
CHICAGO |
| Recipient State |
Illinois |
| Recipient Zip |
60637-5418 |
| Recipient Congressional District |
01 |
| Recipient Country |
USA |
Required to Report Top 5
Highly Compensated Officials |
No |
Projects and Jobs Information
| Projects and Jobs Information |
| Project Title |
THEORY OF MOTIVIC SHEAVES AND BEYOND |
| Project Status |
Completed |
| Final Project Report Submitted |
Yes |
| Project Activities Description |
Mathematics |
| Quarterly Activities/Project Description |
We have been working on the theory of Voevodsky's motives. In particular, we proved that the motivic Albanese functor commutes with the Hodge realization [V1]. In a joint work with Professor Albert Schwarz we proved certain integrality conjectures appearing in the study of the Mirror Symmetry [SV]. We worked on the theory of derived DG functors. In particular, we proved that every DG quasi-functor F : D+ dg(A) D+ dg(B) between derived DG categories such that the functor Ho(F) : D+(A) D+(B) carries D ?0 (A) to D ?0 (B) and such that, for every i > 0, the functor Hi F : A B is effaceable is canonically isomorphic to the right derived DG functor RH0(F) ([V2]). In December of 2009 we gave a lecture presenting our works at the Steklov Mathematical Institute (Russia). In April of 2010 we gave a lecture on our works at the University of British Columbia (Canada). We used the award funds to purchase a laptop computer and a projector (for presentational purposes). The research supported by the award resulted in the following papers.
_ [V1] V. Vologodsky, On the derived DG functors, arXiv:1004.1918 (2010). Accepted for pub-
lication in Mathematical Research Letters.
_ [SV] A. Schwarz, V. Vologodsky, Integrality theorems in the theory of topological strings,
Nuclear Physics B, Volume 821, Issue 3 (2009), 506-534.
_ [V2] V. Vologodsky, The Albanese functor commutes with the Hodge realization, arXiv:0809.2830
(2008). Submitted to Compositio.
|
| Jobs Created |
0.00 |
| Description of Jobs Created |
No jobs created this quarter. |
Purchaser Information
(Grants)
| Purchaser Information |
| Contracting Office ID |
Not Reported |
| Contracting Office Name |
Not Available |
| Contracting Office Region |
Not Available |
| TAS Major Program |
49-0101 |
| Award Information |
| Award Date |
06/29/2009 |
| Award Number |
0901707 |
| Order Number |
|
| Award Type |
Grants |
| Funding Agency ID |
49 |
| Funding Agency Name |
National Science Foundation |
| Funding Office Name |
Not Available |
| Awarding Agency ID |
49 |
| Awarding Agency Name |
National Science Foundation |
| Amount of Award |
$35,599 |
| Funds Invoiced/Received |
$35,599 |
| Expenditure Amount |
$35,599 |
| Infrastructure Expenditure Amount |
$0 |
| Infrastructure Purpose and Rationale |
Not Reported |
| Infrastructure Point of Contact Name |
Not Reported |
| Infrastructure Point of Contact Email |
Not Reported |
| Infrastructure Point of Contact Phone |
Not Reported |
| Infrastructure Point of Contact Address |
Not Reported |
| Infrastructure Point of Contact City |
Not Reported |
| Infrastructure Point of Contact State |
Not Reported |
| Infrastructure Point of Contact Zip |
Not Reported |
Product or Service Information
(Grants)
| Product or Service Information |
| Primary Activity Code |
U03.05 |
| Activity Description |
Mathematics |
| Sub-Awards Information |
| Sub-awards to Organizations |
0 |
| Sub-award Amounts to Organizations |
$0 |
| Sub-Awards to Individuals |
0 |
| Sub-Award Amounts to Individuals |
$0 |
| Number of Sub-awards less than $25,000/award |
0 |
| Amount of Sub-awards less than $25,000/award |
$0 |
| Number of payments to vendors greater than $25,000 |
0 |
| Total Amount of payments to vendors greater than $25,000/award |
$0 |
| Number of payments to vendors less than $25,000/award |
3 |
| Total Amount of payments to vendors less than $25,000/award |
$3,331 |
| Location Information |
| Latitude, Longitude |
41º 47' 21",
-87º 36' 4" |
| Congressional District |
01 |
| Address 1 |
|
| Address 2 |
|
| City |
CHICAGO |
| County |
Cook |
| State |
IL |
| Zip |
60637-5418 |
|
|