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The Poset of $k$-Shapes and Branching Rules for $k$-Schur Functions
Language: en
Pages: 113
Authors: Thomas Lam
Categories: Mathematics
Type: BOOK - Published: 2013-04-22 - Publisher: American Mathematical Soc.

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The authors give a combinatorial expansion of a Schubert homology class in the affine Grassmannian $\mathrm{Gr}_{\mathrm{SL}_k}$ into Schubert homology classes
The Poset of [kappa]-shapes and Branching Rules for [kappa]-Schur Functions
Language: en
Pages: 101
Authors: Thomas Lam
Categories: Partially ordered sets
Type: BOOK - Published: 2013 - Publisher:

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We give a combinatorial expansion of a Schubert homology class in the affine Grassmannian GrSLk into Schubert homology classes in GrSLk+1. This is achieved by s
k-Schur Functions and Affine Schubert Calculus
Language: en
Pages: 226
Authors: Thomas Lam
Categories: Mathematics
Type: BOOK - Published: 2014-06-05 - Publisher: Springer

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This book gives an introduction to the very active field of combinatorics of affine Schubert calculus, explains the current state of the art, and states the cur
Kuznetsov's Trace Formula and the Hecke Eigenvalues of Maass Forms
Language: en
Pages: 144
Authors: Andrew Knightly
Categories: Mathematics
Type: BOOK - Published: 2013-06-28 - Publisher: American Mathematical Soc.

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The authors give an adelic treatment of the Kuznetsov trace formula as a relative trace formula on $\operatorname{GL}(2)$ over $\mathbf{Q}$. The result is a var
Gromov, Cauchy and Causal Boundaries for Riemannian, Finslerian and Lorentzian Manifolds
Language: en
Pages: 88
Authors: Jose Luis Flores
Categories: Mathematics
Type: BOOK - Published: 2013-10-23 - Publisher: American Mathematical Soc.

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Recently, the old notion of causal boundary for a spacetime V has been redefined consistently. The computation of this boundary ∂V on any standard conformally