Fields Number Theory Seminar
85 videos • 1,802 views • by Fields Institute
1
Non-vanishing of Ceresa and Gross--Kudla--Schoen cycles
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2
The period-index problem for higher degree Galois cohomology groups over Hensel semi-global fields
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3
Certain Polytopes associated to Algebraic integer conjugates
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4
Large Compact Subvarieties of A_g
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5
Generalisations of Schanuel conjecture
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6
The Grothendieck period conjecture and mixed motives with maximal unipotent radicals – Part 2
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7
Hecke actions on loops and periods of iterated Shimura integrals
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8
Iwasawa theory of isogeny graphs with level structures
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9
The Grothendieck period conjecture and mixed motives with maximal unipotent radicals
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10
Galois module structure of $p^s$th power classes of a field
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11
Iwasawa lambda invariant and Massey products
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12
On the Hardy Littlewood 3-tuple prime conjecture and convolutions of Ramanujan sums
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13
A canonical algebraic cycle associated to a curve in its Jacobian
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14
Applications of arithmetic holonomicity theorems
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15
On ℓ-torsion in superelliptic Jacobians
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16
Arithmetic and geometry of the generic curve
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17
Computer proofs of some combinatorial congruences
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18
Difference equations and algebraic independence over elliptic function fields
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19
Arithmetic Siegel-Weil formulas for zero-dimensional Shimura varieties
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20
Unexplained periods of elliptic curves and mixed L-functions
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21
On Euler-Kronecker Constants
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22
Finiteness for self-dual classes in variations of Hodge structure
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23
On the arithmetic of generalized Fekete polynomials
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24
Height Bounds for Certain Exceptional Points in Some Variations of Hodge Structures
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25
Differential Equations and Mixed Hodge Structures
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26
Representations of Arthur Type
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27
Abelian Varieties not Isogenous to Jacobians over Global Fields
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28
Algebraic Cycle Loci at the Integral Level
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29
2 -Selmer groups, 2-class groups, and the arithmetic of binary forms
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30
Triple Product Periods in RM Theory
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31
From multiple polylogarithms to the universal vector extension of an elliptic curve
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32
Arithmetic Statistics and Iwasawa Theory
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33
A non-hypergeometric E-function
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34
On the Betti map
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35
On the algebraicity of the Hodge locus
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36
Class groups, congruences, and cup products
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37
On normalization in the integral models of Shimura varieties of Hodge type
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38
Non-vanishing of Poincare series
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39
Constructing extensions in mixed Tate motives
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40
From Ramanujan graphs to Ramanujan complexes
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41
Algebraic Twists of automorphic L-functions
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42
Arithmetic statistics and the Iwasawa theory of elliptic curves
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43
Zagier's Polylogarithm Conjecture revisited
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44
Elliptic surfaces and the enumeration of walks with small steps in the quarter plane
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45
A tale of two analyticities
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46
Arithmetic Siegel-Weil formula for GSpin Shimura varieties
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47
Grothendieck period conjecture and 1-motives
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48
On Exponential motives and their Fundamental Groups
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49
A survey on quantum algorithms for computing class groups
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50
Extension classes of a mixed motive and subgroups of unipotent radical of the motivic Galois group
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51
Arithmetic occult periods
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52
Central L-values of U(3) x U(2), non-vanishing and subconvexity
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53
Khovanskii's theorem and effective results on sumset structure
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54
Sums of triangular numbers and sums of squares
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55
Circle Method and Automorphic Forms
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56
On etale wild kernel and a conjecture of Greenberg
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57
Bounds for the distribution of Frobenius traces associated to products of non-CM elliptic curves
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58
Average sizes of the 2-torsion subgroups of the class groups in families of cubic fields
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59
The Okada space and vanishing of L(1,f)
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60
On bounds of Fourier-coefficients of half-integer weight cusp forms
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61
The arithmetic of Hecke characters and their L-functions.
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62
Algebraic functional equation for Selmer groups
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63
The generalised Diophantine m-tuples
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64
Iwasawa Theory of Fine Selmer Groups
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65
Values of the Ramanujan tau-function
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66
Introductory talk on Iwasawa Theory
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67
On linear independence of special values of polylogarithms
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68
Arthur packets for unipotent representations of the p-adic exceptional group G2
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69
Introductory talk on Arthur packets
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70
On the normal number of prime factors of sums of Fourier coefficients of Hecke eigenforms
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71
Stark's conjectures and Hilbert's 12th Problem
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72
Ceresa cycles of Fermat curves and Hodge theory of fundamental groups
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73
Extending the theta correspondence
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74
Background to: "Extending the Theta Correspondence"
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75
Holomorphy of Adjoint $L$-functions for GL$(n):$ $n\leq 4$
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76
Holomorphy of L functions and Trace Formula
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77
On the subring of special cycles on orthogonal Shimura varieties
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78
Integral Gross-Stark conjecture and explicit formulae for Brumer-Stark units
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79
Euler characteristics and Arithmetic
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80
Circle method and subconvexity
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81
Selmer groups in Arithmetic
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82
Selmer groups in arithmetic
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83
Local Langlands parametrization for $G_2$
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84
An introduction to the subconvexity problem
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85
Automorphic Galois representations and Langlands correspondences
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