nLab Jack Morava

• Webpage

• Wikipedia entry

• Michael Hopkins: Talk on Jack Morava’s work at Jack’s 60th birthday conference (web)

Selected writings

On cobordism cohomology theory, algebraic topology and chromatic homotopy theory:

• Jack Morava, Complex cobordism and algebraic topology (arXiv:0707.3216)

On stable cohomotopy as the algebraic K-theory of FinSet:

• Jack Morava, Some background on Manin’s theorem $K(\mathbb{F}_1) \sim \mathbb{S}$ (pdf, MoravaSomeBackground.pdf)

Comments on the analogy between power operations in homotopy theory and Lambda ring structure in Borger's absolute geometry:

• Pierre Guillot, Adams operations in cohomotopy (arXiv:0612327)

• Jack Morava, Rakha Santhanam: Power operations and Absolute geometry (2012) [pdf]

On configuration spaces of points and a possible Galois group over the sphere spectrum:

• Jack Morava, Jonathan Beardsley, Toward a Galois theory of the integers over the sphere spectrum, Journal of Geometry and Physics Volume 131, September 2018, Pages 41-51 (arXiv:1710.05992, doi:10.1016/j.geomphys.2018.04.011)

On prime spectrum of a symmetric monoidal stable (∞,1)-category:

• Jack Morava, Toward a fundamental groupoid for the stable homotopy category (arXiv:math/0509001)

On the cosmic Galois group:

• Jack Morava, The motivic Thom isomorphism (web, pdf)

• Jack Morava, The Cosmic Galois group as Koszul dual to Waldhausen’s A(pt) (arXiv:1108.4627)

• Nitu Kitchloo, Jack Morava, The Grothendieck–Teichmüller group and the stable symplectic category, 2012. (arxiv:1212.6905)

On orbifolds in mathematical physics and in particular string theory:

• Alejandro Adem, Jack Morava, Yongbin Ruan, Orbifolds in Mathematics and Physics, Contemporary Mathematics 310, American Mathematical Society, 2002

On prequantized (and polarized) symplectic manifolds in the context of cobordism rings and Thom spectra:

• Jack Morava, Cobordism of symplectic manifolds and asymptotic expansions, talk at the conference in honor of S.P. Novikov’s 60th birthday (arXiv:9908070)

On the Weinstein symplectic category:

• Nitu Kitchloo, Jack Morava, The Grothendieck–Teichmüller group and the stable symplectic category, 2012. (arxiv:1212.6905)

On quotient stacks:

• Theories of anything (arXiv:1202.0684)

On the canonical formula of myth:

• Jack Morava, On the Canonical Formula of C. Lévi-Strauss , arXiv.0306174v2 (2003). (abstract)

• Jack Morava, Une interprétation mathématique de la formule canonique de Claude Lévi-Strauss , Cahiers de L’Herne 88 (2004) pp.216-218.

• Jack Morava, From Lévi-Strauss to Chaos and Complexity , in Mosko, Damon (eds.), On the Order of Chaos , Berghahn Oxford 2005.

Related $n$Lab entries

• Morava K-theory

• Morava E-theory

category: people