| NSF Org: |
DMS Division Of Mathematical Sciences |
| Recipient: |
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| Initial Amendment Date: | April 1, 2015 |
| Latest Amendment Date: | April 1, 2015 |
| Award Number: | 1462793 |
| Award Instrument: | Standard Grant |
| Program Manager: |
Joanna Kania-Bartoszynska
jkaniaba@nsf.gov (703)292-4881 DMS Division Of Mathematical Sciences MPS Directorate for Mathematical and Physical Sciences |
| Start Date: | May 15, 2015 |
| End Date: | April 30, 2016 (Estimated) |
| Total Intended Award Amount: | $28,000.00 |
| Total Awarded Amount to Date: | $28,000.00 |
| Funds Obligated to Date: |
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| History of Investigator: |
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| Recipient Sponsored Research Office: |
3203 SE WOODSTOCK BLVD PORTLAND OR US 97202-8138 (503)771-1112 |
| Sponsor Congressional District: |
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| Primary Place of Performance: |
3203 SE Woodstock Blvd Portland OR US 97202-8138 |
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Performance Congressional District: |
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| Unique Entity Identifier (UEI): |
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| NSF Program(s): | TOPOLOGY |
| Primary Program Source: |
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| Program Element Code(s): |
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| Award Agency Code: | 4900 |
| Fund Agency Code: | 4900 |
| Assistance Listing Number(s): | 47.049 |
ABSTRACT
This award supports participation in the conference "Equivariant and Motivic Homotopy Theory" held at Reed College, in Portland, Oregon on May 30-31, 2015. This meeting will bring together leading researchers, postdoctoral associates, and graduate students interested in equivariant and motivic homotopy theory to share recent progress and ideas for future research in these fields during a two-day research conference.
The conference will focus on the interplay between equivariant and motivic homotopy theory. Each field has enjoyed recent success in resolving a number of longstanding problems, including the Kervaire invariant one problem and the Milnor and Bloch-Kato conjectures. They remain relevant to the study of such wide-ranging topics as topological Hochschild homology, algebraic cobordism, chromatic homotopy theory, and algebraic K-theory, and both topics are vibrant fields of research. The conference will catalyze research progress through a series of eight talks by disciplinary experts and multiple forums in which participants can communicate and collaborate on topics such as (generalized) infinite loop space machines, Picard groups of stable homotopy categories, and computations of stable motivic and equivariant homotopy groups.
More information can be found on the conference web page
http://people.reed.edu/~ormsbyk/eqmotconf2015/
PROJECT OUTCOMES REPORT
Disclaimer
This Project Outcomes Report for the General Public is displayed verbatim as submitted by the Principal Investigator (PI) for this award. Any opinions, findings, and conclusions or recommendations expressed in this Report are those of the PI and do not necessarily reflect the views of the National Science Foundation; NSF has not approved or endorsed its content.
The Conference on Equivariant and Motivic Homotopy Theory hosted at Reed College May 30-31, 2015 provided researchers and students from across the country with the opportunity to share knowledge and insights related to two burgeoning, interconnected areas of mathematics. NSF funding was used to support 19 graduate student and early-career participants in addition to 8 speakers. The conference hosted a total of 45 participants at all career stages and further disseminated the talks by posting lecture notes on a publicly available website. Additionally, several Reed College undergraduate math majors attended the talks and helped manage logistical tasks for the conference; this provided them with valuable exposure to the broader mathematical world.
The topics of the conference gave researchers from distinct backgrounds an opportunity to meet and share ideas at the interface of equivariant stable homotopy theory and motivic stable homotopy theory. These fields have been intertwined since the 1990's, but successes in each (the resolution of the Bloch-Kato conjecture, the Kervaire invariant one problem, etc.) have arisen independently, and only a handful of investigators are simultaneously active in both fields. Of particular interest in this conference were concepts related to infinite loop space theory in both contexts, and new results on nilpotence and periodicity in motivic homotopy theory which may have analogues in the equivariant world.
Talks were contributed by Michael Andrews (MIT, Non-nilpotent self-maps in motivic and equivariant homotopy theory), Aravind Asok (USC, Algebraizing topological vector bundles), Bertrand Guillou (Univ. of Kentucky, Eta and the structure of motivic Ext), Jeremiah Heller (Univ. of Bonn, Endomorphisms of the equivariant motivic sphere), Michael Hill (UVA, Towards the equivariant Dyer-Lashof algebras), Po Hu (Wayne State Univ., Equivariant K-theory of compact Lie groups with involution), Igor Kriz (Univ. of Michigan, Calculations of "ordinary" RO(G)-graded cohomology over (Z/2)^n), Mona Merling (Johns Hopkins Univ., Equivariant algebraic K-theory).
Last Modified: 05/09/2016
Modified by: Kyle Ormsby
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