Browsing Department of Mathematics by Title
Now showing items 814829 of 829

A van Kampen spectral sequence for higher homotopy groups
(Massachusetts Institute of Technology, 1988) 
Vector valued Poisson transforms on Riemannian symmetric spaces
(Massachusetts Institute of Technology, 1994) 
Vertex algebras generated by primary fields of low conformal weight
(Massachusetts Institute of Technology, 2003)We classify a certain class of vertex algebras, finitely generated by a Virasoro field and even (resp. odd) primary fields of conformal weight 1 (resp 3/2). This is the first interesting case to consider when looking at ... 
Vibrations and instabilities of a disk galaxy with modified gravity.
(Massachusetts Institute of Technology, 1974) 
Viscous fluid sheets
(Massachusetts Institute of Technology, 2007)We present a general theory for the dynamics of thin viscous sheets. Employing concepts from differential geometry and tensor calculus we derive the governing equations in terms of a coordinate system that moves with the ... 
The v₁periodic part of the Adams spectral sequence at an odd prime/
(Massachusetts Institute of Technology, 2015)We tell the story of the stable homotopy groups of spheres for odd primes at chromatic height 1 through the lens of the Adams spectral sequence. We find the "dancers to a discordant system." We calculate a Bockstein spectral ... 
Walking droplets confined by applied or topographicallyinduced potentials : dynamics and stability
(Massachusetts Institute of Technology, 2018)In 2005, Yves Couder and coworkers discovered that a millimetric droplet of silicone oil may walk on the surface of a verticallyvibrating fluid bath, displaying features that were once thought to be peculiar to quantum ... 
Wavelets and PDEs : the improvement of computational performance using multiresolution analysis
(Massachusetts Institute of Technology, 1998) 
Weakly enriched higher categories
(Massachusetts Institute of Technology, 2013)The goal of this thesis is to begin to lay the foundations for a theory of enriched [infinity]categories. We introduce a definition of such objects, based on a nonsymmetric version of Lurie's theory of [infinity]operads. ... 
Weakly nonlinear surface waves in a ferrofluid
(Massachusetts Institute of Technology, 1991) 
Weight varieties
(Massachusetts Institute of Technology, 1996) 
Whittaker functions on metaplectic groups
(Massachusetts Institute of Technology, 2010)The theory of Whittaker functions is of crucial importance in the classical study of automorphic forms on adele groups. Motivated by the appearance of Whittaker functions for covers of reductive groups in the theory of ... 
Witt spaces : a geometric cycle theory for KOhomology at odd primes.
(Massachusetts Institute of Technology, 1979) 
YangMills connections with isolated singularities
(Massachusetts Institute of Technology, 2000) 
YangMills replacement
(Massachusetts Institute of Technology, 2016)We develop an analog of the harmonic replacement technique of Colding and Minicozzi in the gauge theory context. The idea behind harmonic replacement dates back to Schwarz and Perron, and the technique involves taking a ... 
Zariski structures and simple theories
(Massachusetts Institute of Technology, 2003)In this thesis, I consider generalisations of geometric stability theory to minimal Lascar Strong Types definable in simple theories. Positively, we show that the conditions of linearity and 1basedness are equivalent for ...