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.
Results
Showing 1 to 10 of 10 for “"moduli stack"”.
-
Tropical Intersection Theory on Moduli Stack of Curve Coverings
We construct the moduli cone stack $\mathfrac{M}_\eta^\text{trop}$ of tropical \'{e}tale covers (i.e., coverings of twisted tropical curves). We define the tropical intersection theory on $\mathfrac{M}_\eta^\text{trop}$ and show that the tropical intersection theory agrees with the intersection …
-
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)
… in the reduced part of the Emerton–Gee stack for GL_2, which serves as a moduli space for two-dimensional mod p representations of Gal(K/K). We determine precisely which irreducible components are smooth, which are normal, and which have Gorenstein normalizations. We prove that the …
-
Self-intersection of Manin-Drinfeld Cycles and Taylor expansion of L-functions
… to the intersection numbers of special cycles on moduli spaces. A classic early result along this philosophy was achieved by Gross and Zagier, who proved that the derivative of the L-function of an elliptic curve is equal, up to a constant, to the Néron-Tate height pairing of a special point …
-
Geometric Langlands in prime characteristic
… Langlands dual group over k. Denote by BunG the moduli stack of G-bundles on C and LocSysGv the moduli stack of Gv-local systems on C. Let DBunG be the sheaf of crystalline differential operator algebra on BunG. In this thesis I construct an equivalence between the derived category …
-
Elliptic curves with complex multiplication and {u039B}-structures
… structures. Our main result is to show that the moduli stack of elliptic curves with complex multiplication, and the universal elliptic curve with complex multiplication over it, both admit Lambda structures and that the structure morphism is a Lambda morphism. This implies that elliptic curves …
-
Elliptic curves with complex multiplication and {u039B}-structures
… structures. Our main result is to show that the moduli stack of elliptic curves with complex multiplication, and the universal elliptic curve with complex multiplication over it, both admit Lambda structures and that the structure morphism is a Lambda morphism. This implies that elliptic curves …
-
Tamely ramified geometric Langlands correspondence in positive characteristic
… at each marked point. We denote by Bun(n,P) the moduli stack of (quasi-)parabolic vector bundles on X, and by Loc(n, P) the moduli stack of parabolic flat connections such that the residue is nilpotent with respect to the parabolic reduction at each marked point. We construct an equivalence …
-
A Coherent Categorification of the Asymptotic Affine Hecke Algebra
… to construct a "coherent Springer sheaf" on a moduli stack of Deligne–Langlands parameters whose endomorphism algebra recovers H. In this thesis, we extend these results to Lusztig's asymptotic affine Hecke algebra J. Using work of Bezrukavnikov–Ostrik, we construct an "asymptotic coherent …
-
Moduli Questions for Augmented Bundles
… three parts. In the first part, we construct the moduli scheme for principal bundles over an arbitrary projective scheme. In the second, we establish a bijective correspondence between the analytic master space and the algebraic master space for Bradlow pairs. We also consider the master stack for …
-
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 …