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Hecke actions on loops and periods of iterated Shimura integrals
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Classroom Contents
Fields Number Theory Seminar
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- 1 Galois number fields with a fixed Pólya index
- 2 Torsion of Rational Elliptic Curves over the Cyclotomic Extensions of Q
- 3 The charm and mystery of absolute Galois groups
- 4 Canonical local heights and Berkovich skeleta
- 5 Techniques in parametrization of rings and counting number-fields with fixed degree
- 6 Galois action on the etale fundamental group of the Fermat curve
- 7 Non-vanishing of Ceresa and Gross--Kudla--Schoen cycles
- 8 The period-index problem for higher degree Galois cohomology groups over Hensel semi-global fields
- 9 Certain Polytopes associated to Algebraic integer conjugates
- 10 Large Compact Subvarieties of A_g
- 11 Generalisations of Schanuel conjecture
- 12 The Grothendieck period conjecture and mixed motives with maximal unipotent radicals – Part 2
- 13 Hecke actions on loops and periods of iterated Shimura integrals
- 14 Iwasawa theory of isogeny graphs with level structures
- 15 The Grothendieck period conjecture and mixed motives with maximal unipotent radicals
- 16 Galois module structure of $p^s$th power classes of a field
- 17 Iwasawa lambda invariant and Massey products
- 18 On the Hardy Littlewood 3-tuple prime conjecture and convolutions of Ramanujan sums
- 19 A canonical algebraic cycle associated to a curve in its Jacobian
- 20 Applications of arithmetic holonomicity theorems
- 21 On ℓ-torsion in superelliptic Jacobians
- 22 Arithmetic and geometry of the generic curve
- 23 Computer proofs of some combinatorial congruences
- 24 Difference equations and algebraic independence over elliptic function fields
- 25 Arithmetic Siegel-Weil formulas for zero-dimensional Shimura varieties
- 26 Unexplained periods of elliptic curves and mixed L-functions
- 27 On Euler-Kronecker Constants
- 28 Finiteness for self-dual classes in variations of Hodge structure
- 29 On the arithmetic of generalized Fekete polynomials
- 30 Height Bounds for Certain Exceptional Points in Some Variations of Hodge Structures
- 31 Differential Equations and Mixed Hodge Structures
- 32 Abelian Varieties not Isogenous to Jacobians over Global Fields
- 33 Algebraic Cycle Loci at the Integral Level
- 34 2 -Selmer groups, 2-class groups, and the arithmetic of binary forms
- 35 Triple Product Periods in RM Theory
- 36 From multiple polylogarithms to the universal vector extension of an elliptic curve
- 37 Arithmetic Statistics and Iwasawa Theory
- 38 A non-hypergeometric E-function
- 39 On the Betti map
- 40 On the algebraicity of the Hodge locus
- 41 Class groups, congruences, and cup products
- 42 On normalization in the integral models of Shimura varieties of Hodge type
- 43 Non-vanishing of Poincare series
- 44 Constructing extensions in mixed Tate motives
- 45 From Ramanujan graphs to Ramanujan complexes
- 46 Algebraic Twists of automorphic L-functions
- 47 Arithmetic statistics and the Iwasawa theory of elliptic curves
- 48 Zagier's Polylogarithm Conjecture revisited
- 49 Elliptic surfaces and the enumeration of walks with small steps in the quarter plane
- 50 A tale of two analyticities
- 51 Arithmetic Siegel-Weil formula for GSpin Shimura varieties
- 52 Grothendieck period conjecture and 1-motives
- 53 On Exponential motives and their Fundamental Groups
- 54 A survey on quantum algorithms for computing class groups
- 55 Extension classes of a mixed motive and subgroups of unipotent radical of the motivic Galois group
- 56 Arithmetic occult periods
- 57 Central L-values of U(3) x U(2), non-vanishing and subconvexity
- 58 Khovanskii's theorem and effective results on sumset structure
- 59 Sums of triangular numbers and sums of squares
- 60 Circle Method and Automorphic Forms
- 61 On etale wild kernel and a conjecture of Greenberg
- 62 Bounds for the distribution of Frobenius traces associated to products of non-CM elliptic curves
- 63 Average sizes of the 2-torsion subgroups of the class groups in families of cubic fields
- 64 The Okada space and vanishing of L(1,f)
- 65 On bounds of Fourier-coefficients of half-integer weight cusp forms
- 66 The arithmetic of Hecke characters and their L-functions.
- 67 Algebraic functional equation for Selmer groups
- 68 The generalised Diophantine m-tuples
- 69 Iwasawa Theory of Fine Selmer Groups
- 70 Values of the Ramanujan tau-function
- 71 Introductory talk on Iwasawa Theory
- 72 On linear independence of special values of polylogarithms
- 73 Introductory talk on Arthur packets
- 74 On the normal number of prime factors of sums of Fourier coefficients of Hecke eigenforms
- 75 Stark's conjectures and Hilbert's 12th Problem
- 76 Ceresa cycles of Fermat curves and Hodge theory of fundamental groups
- 77 Extending the theta correspondence
- 78 Background to: "Extending the Theta Correspondence"
- 79 Holomorphy of Adjoint $L$-functions for GL$(n):$ $n\leq 4$
- 80 Holomorphy of L functions and Trace Formula
- 81 On the subring of special cycles on orthogonal Shimura varieties
- 82 Integral Gross-Stark conjecture and explicit formulae for Brumer-Stark units
- 83 Euler characteristics and Arithmetic
- 84 Circle method and subconvexity
- 85 Selmer groups in Arithmetic
- 86 Selmer groups in arithmetic
- 87 Local Langlands parametrization for $G_2$
- 88 An introduction to the subconvexity problem
- 89 Automorphic Galois representations and Langlands correspondences
