Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 9 of 9 for “"Langlands Program"”.
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Some results related to the quantum geometric Langlands program
… G and the category of representations of its Langlands dual group. The category of spherical perverse sheaves sits naturally in an equivariant derived category, and this larger category was described in terms of the dual group by Bezrukavnikov-Finkelberg. Recently, Finkelberg-Lysenko proved a …
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Equivariant quantum cohomology and the geometric Satake equivalence
… a fundamental space in the geometric Langlands program. More precisely, we identify the equivariant quantum connection of certain symplectic resolutions of slices in the affine Grassmannian of a semisimple group G with a trigonometric Knizhnik-Zamolodchikov (KZ)-type connection of the …
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Multiplicative Global Springer Theory
… non-abelian Hodge theory and the geometric Langlands program. They are also useful for globalizing representation-theoretic phenomena such as Springer theory and the study of Springer fibers. In the local and global settings, Springer fibers are replaced by affine Springer fibers and Hitchin …
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Nearby cycles and the cohomology of shtukas
V. Lafforgue constructed Langlands parameters from automorphic forms for any reductive group over a function field using excursion operators. Our aim is to give a general approach for proving certain local-global compatibilities satisfied by these Langlands parameters. The main consequence for the …
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Higher Dimensional Adeles, Mean-Periodicity and Zeta Functions of Arithmetic Surfaces
… of the two is a widely believed aspect of the Langlands program. In somewhat vague language, the two notions are dual to each other. One route to this result is broadly comparable to the Rankin-Selberg method, in which Fesenko’s “boundary function” plays the role of an Eisenstein series. 2. The …
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Weyl Pseudodifferential Calculus and the Heisenberg Group in New Settings
… links with representation theory and the Langlands program. The first of the two papers achieves the following "We give a simple proof of the fact that the classical Ornstein-Uhlenbeck operator L is R-sectorial of angle arcsin|1-2/p| on $L^p(\mathbb{R}^n, \exp(-|x|^2/2)dx)$ (for …
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Emerton-Gee Stacks, Serre Weights, and Breuil-Mézard Conjectures for GSp_4
We construct a moduli stack of rank 4 symplectic projective étale (phi,Gamma)-modules and prove its geometric properties for any prime p>2 and finite extension K/Q_p. When K/Q_p is unramified, we adapt the theory of local models recently developed by Le-Le Hung-Levin-Morra to study the geometry of …
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Components of the Emerton-Gee Moduli Stack of Galois Representations for GL2 and A Graph-Theoretic Approach to Computing Selmer Groups of Elliptic Curves over Q(i)
… about the conjectural categorical p–adic Langlands correspondence. In the second part of this thesis, we introduce a graph-theoretic algorithm to compute the φ-Selmer group of the elliptic curve E_b : y^2 = x^3 + bx defined over Q(i), where b ∈ Z[i] and φ is a degree 2 isogeny of E_b. We …