Joint IAS/PU Number Theory Seminar
142 videos • 2,719 views • by Institute for Advanced Study
1
On the Arithmetic of Genus 4 Curves - Jiahui Gao
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2
Arithmetic Applications of Random Multiplicative Functions - Max Wenqiang Xu
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3
On the Geometry and Arithmetic of Non-Spherical Maass Forms - Djordje Milicevic
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4
There Are Infinitely Many Elliptic Curves Over the Rationals of Rank 2 - David Zywina
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5
Algebraic Integers of Bounded Height and Given Galois Group - Andy O’Desky
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6
Polyhedra, Hyperbolic 3-Manifolds, and Arithmetic - Alex Kontorovich
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7
Algebraicity of Spin L-functions for GSp_6 - Ellen Eischen
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8
Hilbert's 10th Problem Over Rings of Integers - Ari Shnidman
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9
Inductive Methods for Counting Number Fields - Brandon Alberts
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10
Local-Global Principles and Effective Rates of Equidistribution For Semisimple Or...- Andreas Wieser
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11
Bass Note Spectra of Binary Forms - Giorgos Kotsovolis
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12
First Explicit Reciprocity Law for Unitary Friedberg—Jacquet PeriodsMurilo Zanarella
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13
Non-escape of Mass for Arithmetic Quantum Limits on Hyperbolic 4-Manifolds - Alexandre de Faveri
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14
Second Moment of the GL_3 Standard L-function on the Critical LineMatthew Young
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15
Derived Hecke Action For Weight One Modular Forms Via Classicality - Gyujin Oh
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16
Zeta and Multizeta for Function Fields - Dinesh Thakur
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17
The Not-So-Local-Global Conjecture - James Rickards
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18
Vanishing of Selmer Groups for Siegel Modular Forms - Sam Mundy
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19
On Eisenstein’s Jugendtraum for Complex Cubic Fields - Pierre Charollois
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20
A Pair Correlation Surface Associated to the Zeros of the Riemann Zeta Function- Alexandru Zaharescu
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21
The Shintani–Faddeev Modular Cocycle - Gene Kopp
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22
Moments of Families of Quadratic L-Functions Over Function Fields Via Homotopy Theory - Dan Petersen
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23
Modularity of Trianguline Galois Representations - Rebecca Bellovin
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24
Symmetric Power Functoriality For Hilbert Modular Forms - Jack Thorne
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25
Restricted Arithmetic Quantum Unique Ergodicity - Peter Humphries
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26
Root Number Correlation Bias of Fourier Coefficients of Modular Forms - Nina Zubrilina
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27
Subconvexity for L-functions on U(n) x U(n+1) - Simon Marshall
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28
Applications of the Relative Trace Formula - Valentin Blomer
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29
An Euler System for the Symmetric Square of a Modular Form - Chris Skinner
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30
Counting Low Degree Number Fields with Almost Prescribed Successive Minima - Sameera Vemulapalli
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31
Quadratic Twists of Modular L-Functions - Xiannan Li
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32
Toward a Theory of Prime Detecting Sieves - Kevin Ford
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33
Cohomological Automorphic Representations on Unitary Groups - Rahul Dalal
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34
On the kernel of the non abelian Fourier transform - Ngo Bao Chau
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35
A visit to 3-manifolds in the quest to understand random Galois groups - Melanie Matchett Wood
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36
New Cohen-Lenstra heuristics by constructing measures from moments - Will Sawin
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37
Arithmetic holonomy bounds and Apery limits - Vesselin Dimitrov
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38
Branching laws: homological aspects - Dipendra Prasad
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39
Modular forms of half-integral weight on exceptional groups
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40
Galois groups of random integer polynomials - Manjul Bharğava
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41
Non-vanishing of twists of GL(4) L-functions - Liyang Yang
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42
The average size of 3-torsion in class groups of 2-extensions - Robert Lemke Oliver
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43
Some Progress on Categorical Local Langlands - Linus Hamann
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44
On the BSD conjecture for certain families of abelian varieties with ration...- Emmanuel Lecouturier
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45
Arithmetic statistics and graded Lie algebras - Jef Laga
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46
A Wiles-Diamond numerical criterion in higher dimensions -Chandrashekhar Khare
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47
Local (\ell = p) Galois Deformation Rings - Ashwin Iyengar
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48
Motivic action on coherent cohomology of Hilbert modular varieties - Aleksander Horawa
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49
Abelian varieties not isogenous to Jacobians - Jacob Tsimerman
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50
Conditional approaches to sums of cubes - Victor Wang
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51
The unbounded denominators conjecture - Yunqing Tang
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52
Monogenic fields with odd class number - Artane Jeremie Siad
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53
Reducible fibers and monodromy of polynomial maps - Danny Neftin
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54
Modularity and Heights of CM cycles on Kuga-Sato varieties - Congling Qiu
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55
Bounds for standard L-functions - Paul Nelson
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56
Sums in progressions over F_q[T], the symmetric group, and geometryWill Sawin
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57
A uniform Bogomolov type of theorem for curves over global fields - Xinyi Yuan
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58
Character estimates for classical finite simple groups - Michael Larsen
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59
Expansion and parity - Maksym Radziwill
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60
Groups with bounded generation: old and new - Andrei S. Rapinchuk
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61
André 2021 04 29On the canonical, fpqc and finite topologies: classical questions... - Yves André
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62
Kolyvagin's conjecture and higher congruences of modular forms - Naomi Sweeting
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63
Low moments of character sums - Adam Harper
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64
Eisenstein series, p-adic deformations, Galois representations, and the group G_2 - Sam Mundy
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65
The local Gan-Gross-Prasad conjecture for real unitary groups - Hang Xue
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66
The Shafarevich Conjecture for Hypersurfaces in Abelian Varieties - Will Sawin
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67
Some remarks on Landau--Siegel zeros - Alexandru Zaharescu
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68
Monoidal Structures on GL(2)-Modules and Abstractly Automorphic Representations - Gal Dor
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69
Selmer groups and a Cassels-Tate pairing for finite Galois modules - Alexander Smith
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70
Exceptional jumps of Picard rank of K3 surfaces over number fields - Salim Tayou
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71
Ramanujan Conjecture and the Density Hypothesis - Shai Evra
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72
Ax-Lindemann-Weierstrass Theorem (ALW) for Fuchsian automorphic functions - Joel Nagloo
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73
On the Liouville function at polynomial arguments - Joni Teräväinen
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74
A unitary analogy of Friedberg-Jacquet and Guo-Jacquet periods and central values... - Jingwei Xiao
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75
Strong approximation for the Markoff equation via nonabelian level structures...- William Chen
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76
Effective height bounds for odd-degree totally real points on some curves - Levent Alpoge
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77
On the locally analytic vectors of the completed cohomology of modular curves - Lue Pan
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78
An explicit supercuspidal local Langlands correspondence - Tasho Kaletha
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79
Representations of p-adic groups and applications - Jessica Fintzen
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80
Heights and dynamics over arbitrary fields - Carney Alexander
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81
An asymptotic version of the prime power conjecture for perfect difference sets - Sarah Peluse
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82
New constraints on the Galois configurations of algebraic integers.. - Vesselin Dimitrov
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83
Dynamical generalizations of the Prime Number Theorem and...disjointness of... -Florian Richter
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84
Joint equidistribution of adelic torus orbits and families of twisted L-functions - Farrell Brumley
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85
A geometric view on Iwasawa theory - Mladen Dimitrov
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86
On triple product L functions - Jayce Robert Getz
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87
Eulerianity of Fourier coefficients of automorphic forms - Henrik Gustafsson
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88
Local-global compatibility in the crystalline case - Ana Caraiani
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89
On the Kudla-Rapoport conjecture - Chao Li
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90
Density conjecture for horizontal families of lattices in SL(2) - Mikolaj Fraczyk
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91
A p-adic monodromy theorem for de Rham local systems - Koji Shimizu
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92
Moduli spaces of shtukas over function fields - Jared Weinstein
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93
Eisenstein series and the cubic moment for PGL(2) - Paul Nelson
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94
Canonical integral models of Shimura varieties - George Pappas
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95
A slice or two of a diagonal cubic: arithmetic stratification via the circle method - Trevor Wooley
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96
Taking the Hecke algebra to its limits - Raphael Steiner
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97
Singularities in reductions of Shimura varieties -Thomas Haines
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98
How does the rank of an elliptic curve grow in towers of number fields? - Florian Sprung
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99
Singular moduli for real quadratic fields - Jan Vonk
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100
Local aspects of Venkatesh's thesis - Yiannis Sakellaridis
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101
Singularities of Teichmueller harmonic map flow - Melanie Rupflin
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102
Derived structures controlling representations - Carl Wang-Erickson
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103
An Application of a Conjecture of Mazur-Tate to Supersingular Elliptic Curves - Emmanuel Lecouturier
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104
Upper bounds for constant slope p-adic families of modular forms -John Bergdall
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105
Slopes in eigenvarieties for definite unitary groups - Lynnelle Ye
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106
The Lucky Logarithmic Derivative - Will Sawin
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107
Irreducible components of affine Deligne-Lusztig varieties and orbital integrals - Rong Zhou
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108
Explicit formulae for Stark Units and Hilbert's 12th problem - Samit Dasgupta
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109
Towards a p-adic Deligne--Lusztig theory - Charlotte Chan
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110
A converse to a theorem of Gross--Zagier, Kolyvagin and Rubin, II - Ashay Burungale
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111
Algorithms for the topology of arithmetic groups and Hecke actions II - Michael Lipnowski
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112
Non-spherical Poincaré series, cusp forms and L-functions for GL(3) - Jack Buttcane
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113
Summation formulae and speculations on period integrals attached to triples... - Jayce Getz
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114
The Weyl law for algebraic tori - Ian Petrow
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115
On the long-term dynamics of nonlinear dispersive evolution equations - Wilhelm Schlag
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116
Automorphy for coherent cohomology of Shimura varieties - Jun Su
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117
Locally symmetric spaces: pp-adic aspects - Laurent Fargues
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118
Shimura curves and new abc bounds -Hector Pasten
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119
Joint equidistribution of CM points - Ilya Khayutin
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120
On the notion of genus for division algebras and algebraic groups - Andrei Rapinchu
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121
Nonlinear descent on moduli of local systems - Junho Peter Whang
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122
A converse theorem of Gross-Zagier and Kolyvagin: CM case - Ye Tian
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123
Elliptic curves of rank two and generalised Kato classes - Francesc Castella
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124
2∞2∞-Selmer groups, 2∞2∞-class groups, and Goldfeld's conjecture - Alex Smith
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125
Local Global Principles for Galois Cohomology - Julia Hartmann
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126
The pp-curvature conjecture and monodromy about simple closed loops - Ananth Shankar
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127
Congruences between motives and congruences between values of LL-functions - Olivier Fouquet
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128
Basic loci of Shimura varieties - Xuhua He
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129
Galois Representations for the general symplectic group - Arno Kret
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130
On small sums of roots of unity - Philipp Habegger
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131
The Hasse-Weil zeta functions of the intersection cohomology... - YihangZhu
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132
Rational curves on elliptic surfaces - Douglas Ulmer
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133
Standard conjecture of Künneth type with torsion coefficients - Junecue Suh
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134
Low-lying, fundamental, reciprocal geodesics - Alex Kontorovich
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135
Vanishing cycles and bilinear forms - Will Sawin
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136
Cycles on the moduli of Shtukas and Taylor coefficients of L-functions - Zhang
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137
Decoupling in harmonic analysis and the Vinogradov mean value theorem - Bourgain
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138
Modularity and potential modularity theorems in the function field setting - Harris
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139
Geometric deformations of orthogonal and symplectic Galois representations - Jeremy Booher
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140
From local class field theory to the curve and vice versa - Laurent Fargues
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141
Motivic cohomology actions and the geometry of eigenvarieties - David Hansen
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142
Spectral summation formulae and their applications - Valentin Blomer
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