Award Abstract # 1462793
Conference on Equivariant and Motivic Homotopy Theory

NSF Org: DMS
Division Of Mathematical Sciences
Recipient: THE REED INSTITUTE
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: FY 2015 = $28,000.00
History of Investigator:
  • Kyle Ormsby (Principal Investigator)
    epimorphism@gmail.com
  • Angelica Osorno (Co-Principal Investigator)
Recipient Sponsored Research Office: Reed College
3203 SE WOODSTOCK BLVD
PORTLAND
OR  US  97202-8138
(503)771-1112
Sponsor Congressional District: 03
Primary Place of Performance: Reed College
3203 SE Woodstock Blvd
Portland
OR  US  97202-8138
Primary Place of Performance
Congressional District:
03
Unique Entity Identifier (UEI): CMNJCKH6LTK6
Parent UEI:
NSF Program(s): TOPOLOGY
Primary Program Source: 01001516DB NSF RESEARCH & RELATED ACTIVIT
Program Reference Code(s): 7556
Program Element Code(s): 126700
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

Please report errors in award information by writing to: awardsearch@nsf.gov.

Print this page

Back to Top of page