## Search

Now showing items 11-20 of 746

#### Quantum proof systems and entanglement theory

(Massachusetts Institute of Technology, 2009)

Quantum complexity theory is important from the point of view of not only theory of computation but also quantum information theory. In particular, quantum multi-prover interactive proof systems are defined based on ...

#### Combinatorial aspects of polytope slices

(Massachusetts Institute of Technology, 2013)

We studies two examples of polytope slices, hypersimplices as slices of hypercubes and edge polytopes. For hypersimplices, the main result is a proof of a conjecture by R. Stanley which gives an interpretation of the Ehrhart ...

#### Diagrams of affine permutations and their labellings

(Massachusetts Institute of Technology, 2013)

We study affine permutation diagrams and their labellings with positive integers. Balanced labellings of a Rothe diagram of a finite permutation were defined by Fomin- Greene-Reiner-Shimozono, and we extend this notion to ...

#### A Postnikov tower for algebraic K-theory

(Massachusetts Institute of Technology, 1999)

#### Cocommutative Hopf algebras with antipode.

(Massachusetts Institute of Technology, 1965)

#### Geometric Langlands in prime characteristic

(Massachusetts Institute of Technology, 2012)

Let C be a smooth projective curve over an algebraically closed field k of sufficiently large characteristic. Let G be a semisimple algebraic group over k and let GV be its Langlands dual group over k. Denote by BunG the ...

#### Small unitary representations of the double cover of SL(m)

(Massachusetts Institute of Technology, 1999)

#### Noncommutative rational double points

(Massachusetts Institute of Technology, 1999)

#### p-adic modular forms over Shimura curves over Q

(Massachusetts Institute of Technology, 1999)

#### Siegel modulator form (mod p) and algebraic modular forms

(Massachusetts Institute of Technology, 2003)

In his letter [Ser96], J.-P. Serre proves that the systems of Hecke eigenvalues given by modular forms (mod p) are the same as the ones given by locally constant functions ... , where B is the endomorphism algebra of a ...