Browsing Department of Mathematics by Title
Now showing items 542561 of 826

The padic local langlands conjecture
(Massachusetts Institute of Technology, 2005)Let k be a padic field. Split reductive groups over k can be described up to k isomorphism by a based root datum alone, but other groups, called rational forms of the split group, involve an action of the Galois group ... 
padic modular forms over Shimura curves over Q
(Massachusetts Institute of Technology, 1999) 
PaleyWiener theorems and surjectivity of invariant differential operators on symmetric spaces and Lie groups
(American Mathematical Society, 1973) 
Parabolic equations without a minimum principle
(Massachusetts Institute of Technology, 2007)In this thesis, we consider several parabolic equations for which the minimum principle fails. We first consider a twopoint boundary value problem for a one dimensional diffusion equation. We show the uniqueness and ... 
Parabolic Springer resolution
(Massachusetts Institute of Technology, 2016)Let G be a reductive group over a field k = k. Let P be a parabolic subgroup. We construct a functor Groupoid ... is a connected space, which induces an action of generalizing a classical result. It is also a part of a ... 
A parallel processing model of musical structures.
(Massachusetts Institute of Technology, 1971) 
Parallel repetition of multiparty and quantum games via anchoring and fortification
(Massachusetts Institute of Technology, 2017)Parallel repetition is a fundamental operation for amplifying the hardness inherent in multiplayer games. Through the efforts of many researchers in the past two decades (e.g. Feige, Kilian, Raz, Holentstein, Rao, Braverman, ... 
Parallelism on psurfaces in Riemannian manifolds.
(Massachusetts Institute of Technology, 1965) 
Parametrized higher category theory
(Massachusetts Institute of Technology, 2017)We develop foundations for the category theory of [infinity]categories parametrized by a base occategory. Our main contribution is a theory of parametrized homotopy limits and colimits, which recovers and extends the ... 
Partition identity bijections related to signbalance and rank
(Massachusetts Institute of Technology, 2005)In this thesis, we present bijections proving partitions identities. In the first part, we generalize Dyson's definition of rank to partitions with successive Durfee squares. We then present two symmetries for this new ... 
Path integrals on ultrametric spaces
(Massachusetts Institute of Technology, 1994) 
Pattern avoidance for alternating permutations and reading words of tableaux
(Massachusetts Institute of Technology, 2012)We consider a variety of questions related to pattern avoidance in alternating permutations and generalizations thereof. We give bijective enumerations of alternating permutations avoiding patterns of length 3 and 4, of ... 
Patternavoidance in binary fillings of grid shapes
(Massachusetts Institute of Technology, 2009)A grid shape is a set of boxes chosen from a square grid; any Young diagram is an example. We consider a notion of patternavoidance for 01 fillings of grid shapes, which generalizes permutation patternavoidance. A filling ... 
Permutations statistics of indexed and poset permutations
(Massachusetts Institute of Technology, 1992) 
Permutations with forbidden subsequences, and, stacksortable permutations
(Massachusetts Institute of Technology, 1990) 
The perturbation theory of some Volterra operators
(Massachusetts Institute of Technology, 1963) 
Phoenix : an interactive hierarchical topological floorplanning placer
(Massachusetts Institute of Technology, 1985) 
The physical applications of hypergeometric functions
(Massachusetts Institute of Technology, 1946) 
The Picard Scheme
(201309)This article introduces, informally, the substance and the spirit of Grothendieck's theory of the Picard scheme, highlighting its elegant simplicity, natural generality, and ingenious originality against the larger ... 
The Picard scheme of a curve and its compactification
(Massachusetts Institute of Technology, 1981)