Zobrazeno 1 - 10
of 159
pro vyhledávání: '"BEHRENS, MARK A."'
Autor:
Behrens, Mark, Malin, Connor
We survey the role of Lie algebras in the study of unstable homotopy groups.
Comment: 16 pages
Comment: 16 pages
Externí odkaz:
http://arxiv.org/abs/2410.18330
Autor:
Behrens, Mark, Carlisle, Jack
Building off of many recent advances in the subject by many different researchers, we describe a picture of A-equivariant chromatic homotopy theory which mirrors the now classical non-equivariant picture of Morava, Miller-Ravenel-Wilson, and Devinatz
Externí odkaz:
http://arxiv.org/abs/2406.19352
We describe a deformation of the $\infty$-category of Borel $G$-spectra for a finite group $G$. This provides a new presentation of the $a$-complete real Artin--Tate motivic stable homotopy category when $G=C_2$ and gives a new interpretation of the
Externí odkaz:
http://arxiv.org/abs/2308.01873
We give a complete description of the E_1-term of the v_2-local as well as g-local algebraic tmf resolution.
Comment: 35 pages
Comment: 35 pages
Externí odkaz:
http://arxiv.org/abs/2301.11230
Publikováno v:
In Construction and Building Materials 4 October 2024 446
Publikováno v:
Geom. Topol. 27 (2023) 2763-2831
We determine the image of the 2-primary tmf-Hurewicz homomorphism, where tmf is the spectrum of topological modular forms. We do this by lifting elements of tmf_* to the homotopy groups of the generalized Moore spectrum M(8,v_1^8) using a modified fo
Externí odkaz:
http://arxiv.org/abs/2011.08956
Autor:
Behrens, Mark1, Trask, Andrew2
Publikováno v:
Defense Counsel Journal. 2024, Vol. 91 Issue 2, p1-8. 8p.
Mahowald proved the height 1 telescope conjecture at the prime 2 as an application of his seminal work on bo-resolutions. In this paper we study the height 2 telescope conjecture at the prime 2 through the lens of tmf-resolutions. To this end we comp
Externí odkaz:
http://arxiv.org/abs/1909.13379
Autor:
Behrens, Mark, Shah, Jay
Publikováno v:
Ann. K-Th. 5 (2020) 411-464
We give a method for computing the C_2-equivariant homotopy groups of the Betti realization of a p-complete cellular motivic spectrum over R in terms of its motivic homotopy groups. More generally, we show that Betti realization presents the C_2-equi
Externí odkaz:
http://arxiv.org/abs/1908.08378
Autor:
Behrens, Mark
This article is a brief survey of the theory of topological modular forms (TMF) and the theory of topological automorphic forms (TAF). It will be a chapter in forthcoming "Handbook of Homotopy Theory" edited by Haynes Miller.
Comment: 47 pages,
Comment: 47 pages,
Externí odkaz:
http://arxiv.org/abs/1901.07990