Author: Ping-Shun ChanPublisher: American Mathematical Soc.
ISBN: 0821848224
Category : Mathematics
Languages : en
Pages : 185
Book Description
"Volume 204, number 957 (first of 5 numbers)."
Invariant Representations of $\mathrm {GSp}(2)$ under Tensor Product with a Quadratic Character
Author: Ping-Shun ChanPublisher: American Mathematical Soc.
ISBN: 0821848224
Category : Mathematics
Languages : en
Pages : 185
Book Description
"Volume 204, number 957 (first of 5 numbers)."
Automorphic Forms and Shimura Varieties of PGSp (2)
Author: Yuval Z. FlickerPublisher: World Scientific
ISBN: 9812703322
Category : Mathematics
Languages : en
Pages : 340
Book Description
The area of automorphic representations is a natural continuation of studies in the 19th and 20th centuries on number theory and modular forms. A guiding principle is a reciprocity law relating infinite dimensional automorphic representations with finite dimensional Galois representations. Simple relations on the Galois side reflect deep relations on the automorphic side, called OC liftings.OCO This in-depth book concentrates on an initial example of the lifting, from a rank 2 symplectic group PGSp(2) to PGL(4), reflecting the natural embedding of Sp(2, ?) in SL(4, ?). It develops the technique of comparing twisted and stabilized trace formulae. It gives a detailed classification of the automorphic and admissible representation of the rank two symplectic PGSp(2) by means of a definition of packets and quasi-packets, using character relations and trace formulae identities. It also shows multiplicity one and rigidity theorems for the discrete spectrum. Applications include the study of the decomposition of the cohomology of an associated Shimura variety, thereby linking Galois representations to geometric automorphic representations. To put these results in a general context, the book concludes with a technical introduction to LanglandsOCO program in the area of automorphic representations. It includes a proof of known cases of ArtinOCOs conjecture."
Unfolding CR Singularities
Author: Adam CoffmanPublisher: American Mathematical Soc.
ISBN: 0821846574
Category : Mathematics
Languages : en
Pages : 105
Book Description
"Volume 205, number 962 (first of 5 numbers)."
Centres of Centralizers of Unipotent Elements in Simple Algebraic Groups
Author: Ross LawtherPublisher: American Mathematical Soc.
ISBN: 0821847694
Category : Mathematics
Languages : en
Pages : 201
Book Description
Let G be a simple algebraic group defined over an algebraically closed field k whose characteristic is either 0 or a good prime for G, and let uEG be unipotent. The authors study the centralizer CG(u), especially its centre Z(CG(u)). They calculate the Lie algebra of Z(CG(u)), in particular determining its dimension; they prove a succession of theorems of increasing generality, the last of which provides a formula for dim Z(CG(u)) in terms of the labelled diagram associated to the conjugacy class containing u.
Non-Divergence Equations Structured on Hormander Vector Fields: Heat Kernels and Harnack Inequalities
Author: Marco BramantiPublisher: American Mathematical Soc.
ISBN: 0821849034
Category : Mathematics
Languages : en
Pages : 136
Book Description
"March 2010, Volume 204, number 961 (end of volume)."
Definable Additive Categories: Purity and Model Theory
Author: Mike PrestPublisher: American Mathematical Soc.
ISBN: 0821847678
Category : Mathematics
Languages : en
Pages : 122
Book Description
Most of the model theory of modules works, with only minor modifications, in much more general additive contexts (such as functor categories, categories of comodules, categories of sheaves). Furthermore, even within a given category of modules, many subcategories form a ``self-sufficient'' context in which the model theory may be developed without reference to the larger category of modules. The notion of a definable additive category covers all these contexts. The (imaginaries) language which one uses for model theory in a definable additive category can be obtained from the category (of structures and homomorphisms) itself, namely, as the category of those functors to the category of abelian groups which commute with products and direct limits. Dually, the objects of the definable category--the modules (or functors, or comodules, or sheaves)--to which that model theory applies may be recovered as the exact functors from the, small abelian, category (the category of pp-imaginaries) which underlies that language.
Operator Theory on Noncommutative Domains
Author: Gelu PopescuPublisher: American Mathematical Soc.
ISBN: 0821847104
Category : Mathematics
Languages : en
Pages : 137
Book Description
"Volume 205, number 964 (third of 5 numbers)."
Ergodicity, Stabilization, and Singular Perturbations for Bellman-Isaacs Equations
Author: Olivier AlvarezPublisher: American Mathematical Soc.
ISBN: 0821847155
Category : Mathematics
Languages : en
Pages : 90
Book Description
"Volume 204, number 960 (fourth of 5 numbers)."
On a Conjecture of E. M. Stein on the Hilbert Transform on Vector Fields
Author: Michael Thoreau LaceyPublisher: American Mathematical Soc.
ISBN: 0821845403
Category : Mathematics
Languages : en
Pages : 87
Book Description
"Volume 205, number 965 (fourth of 5 numbers)."
Towards Non-Abelian P-adic Hodge Theory in the Good Reduction Case
Author: Martin C. OlssonPublisher: American Mathematical Soc.
ISBN: 082185240X
Category : Mathematics
Languages : en
Pages : 170
Book Description
The author develops a non-abelian version of $p$-adic Hodge Theory for varieties (possibly open with ``nice compactification'') with good reduction. This theory yields in particular a comparison between smooth $p$-adic sheaves and $F$-isocrystals on the level of certain Tannakian categories, $p$-adic Hodge theory for relative Malcev completions of fundamental groups and their Lie algebras, and gives information about the action of Galois on fundamental groups.