Number Theory Seminar - Advanced Topics in Arithmetic Geometry and L-Functions

Number Theory Seminar - Advanced Topics in Arithmetic Geometry and L-Functions

Institute for Advanced Study via YouTube Direct link

Non-vanishing of twists of GL(4) L-functions - Liyang Yang

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Non-vanishing of twists of GL(4) L-functions - Liyang Yang

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Number Theory Seminar - Advanced Topics in Arithmetic Geometry and L-Functions

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  1. 1 Simultaneous Non-Vanishing of L-Functions at the Central Point - Alexandra Florea
  2. 2 On Triple Product L-Functions - Miao Gu
  3. 3 Motivic Action Conjecture for Doi-Naganuma Lifts - Yingkun Li
  4. 4 Shioda’s Conjecture on Unirationality - Ben Church
  5. 5 On Uniform Boundedness of Torsion Points for Abelian Varieties Over Function Fields - Jit Wu Yap
  6. 6 On the Arithmetic of Genus 4 Curves - Jiahui Gao
  7. 7 Arithmetic Applications of Random Multiplicative Functions - Max Wenqiang Xu
  8. 8 On the Geometry and Arithmetic of Non-Spherical Maass Forms - Djordje Milicevic
  9. 9 There Are Infinitely Many Elliptic Curves Over the Rationals of Rank 2 - David Zywina
  10. 10 Algebraic Integers of Bounded Height and Given Galois Group - Andy O’Desky
  11. 11 Polyhedra, Hyperbolic 3-Manifolds, and Arithmetic - Alex Kontorovich
  12. 12 Algebraicity of Spin L-functions for GSp_6 - Ellen Eischen
  13. 13 Hilbert's 10th Problem Over Rings of Integers - Ari Shnidman
  14. 14 Inductive Methods for Counting Number Fields - Brandon Alberts
  15. 15 Local-Global Principles and Effective Rates of Equidistribution For Semisimple Or...- Andreas Wieser
  16. 16 Bass Note Spectra of Binary Forms - Giorgos Kotsovolis
  17. 17 First Explicit Reciprocity Law for Unitary Friedberg—Jacquet PeriodsMurilo Zanarella
  18. 18 Non-escape of Mass for Arithmetic Quantum Limits on Hyperbolic 4-Manifolds - Alexandre de Faveri
  19. 19 Second Moment of the GL_3 Standard L-function on the Critical LineMatthew Young
  20. 20 Derived Hecke Action For Weight One Modular Forms Via Classicality - Gyujin Oh
  21. 21 Zeta and Multizeta for Function Fields - Dinesh Thakur
  22. 22 The Not-So-Local-Global Conjecture - James Rickards
  23. 23 Vanishing of Selmer Groups for Siegel Modular Forms - Sam Mundy
  24. 24 On Eisenstein’s Jugendtraum for Complex Cubic Fields - Pierre Charollois
  25. 25 A Pair Correlation Surface Associated to the Zeros of the Riemann Zeta Function- Alexandru Zaharescu
  26. 26 The Shintani–Faddeev Modular Cocycle - Gene Kopp
  27. 27 Moments of Families of Quadratic L-Functions Over Function Fields Via Homotopy Theory - Dan Petersen
  28. 28 Modularity of Trianguline Galois Representations - Rebecca Bellovin
  29. 29 Symmetric Power Functoriality For Hilbert Modular Forms - Jack Thorne
  30. 30 Restricted Arithmetic Quantum Unique Ergodicity - Peter Humphries
  31. 31 Root Number Correlation Bias of Fourier Coefficients of Modular Forms - Nina Zubrilina
  32. 32 Subconvexity for L-functions on U(n) x U(n+1) - Simon Marshall
  33. 33 Applications of the Relative Trace Formula - Valentin Blomer
  34. 34 An Euler System for the Symmetric Square of a Modular Form - Chris Skinner
  35. 35 Counting Low Degree Number Fields with Almost Prescribed Successive Minima - Sameera Vemulapalli
  36. 36 Quadratic Twists of Modular L-Functions - Xiannan Li
  37. 37 Toward a Theory of Prime Detecting Sieves - Kevin Ford
  38. 38 Cohomological Automorphic Representations on Unitary Groups - Rahul Dalal
  39. 39 On the kernel of the non abelian Fourier transform - Ngo Bao Chau
  40. 40 A visit to 3-manifolds in the quest to understand random Galois groups - Melanie Matchett Wood
  41. 41 New Cohen-Lenstra heuristics by constructing measures from moments - Will Sawin
  42. 42 Arithmetic holonomy bounds and Apery limits - Vesselin Dimitrov
  43. 43 Branching laws: homological aspects - Dipendra Prasad
  44. 44 Modular forms of half-integral weight on exceptional groups
  45. 45 Galois groups of random integer polynomials - Manjul Bharğava
  46. 46 Non-vanishing of twists of GL(4) L-functions - Liyang Yang
  47. 47 The average size of 3-torsion in class groups of 2-extensions - Robert Lemke Oliver
  48. 48 Some Progress on Categorical Local Langlands - Linus Hamann
  49. 49 On the BSD conjecture for certain families of abelian varieties with ration...- Emmanuel Lecouturier
  50. 50 Arithmetic statistics and graded Lie algebras - Jef Laga
  51. 51 A Wiles-Diamond numerical criterion in higher dimensions -Chandrashekhar Khare
  52. 52 Local (\ell = p) Galois Deformation Rings - Ashwin Iyengar
  53. 53 Motivic action on coherent cohomology of Hilbert modular varieties - Aleksander Horawa
  54. 54 Abelian varieties not isogenous to Jacobians - Jacob Tsimerman
  55. 55 Conditional approaches to sums of cubes - Victor Wang
  56. 56 The unbounded denominators conjecture - Yunqing Tang
  57. 57 Monogenic fields with odd class number - Artane Jeremie Siad
  58. 58 Reducible fibers and monodromy of polynomial maps - Danny Neftin
  59. 59 Modularity and Heights of CM cycles on Kuga-Sato varieties - Congling Qiu
  60. 60 Bounds for standard L-functions - Paul Nelson
  61. 61 Sums in progressions over F_q[T], the symmetric group, and geometryWill Sawin
  62. 62 A uniform Bogomolov type of theorem for curves over global fields - Xinyi Yuan
  63. 63 Character estimates for classical finite simple groups - Michael Larsen
  64. 64 Expansion and parity - Maksym Radziwill
  65. 65 Groups with bounded generation: old and new - Andrei S. Rapinchuk
  66. 66 André 2021 04 29On the canonical, fpqc and finite topologies: classical questions... - Yves André
  67. 67 Kolyvagin's conjecture and higher congruences of modular forms - Naomi Sweeting
  68. 68 Low moments of character sums - Adam Harper
  69. 69 Eisenstein series, p-adic deformations, Galois representations, and the group G_2 - Sam Mundy
  70. 70 The local Gan-Gross-Prasad conjecture for real unitary groups - Hang Xue
  71. 71 The Shafarevich Conjecture for Hypersurfaces in Abelian Varieties - Will Sawin
  72. 72 Some remarks on Landau--Siegel zeros - Alexandru Zaharescu
  73. 73 Monoidal Structures on GL(2)-Modules and Abstractly Automorphic Representations - Gal Dor
  74. 74 Selmer groups and a Cassels-Tate pairing for finite Galois modules - Alexander Smith
  75. 75 Exceptional jumps of Picard rank of K3 surfaces over number fields - Salim Tayou
  76. 76 Ramanujan Conjecture and the Density Hypothesis - Shai Evra
  77. 77 Ax-Lindemann-Weierstrass Theorem (ALW) for Fuchsian automorphic functions - Joel Nagloo
  78. 78 On the Liouville function at polynomial arguments - Joni Teräväinen
  79. 79 A unitary analogy of Friedberg-Jacquet and Guo-Jacquet periods and central values... - Jingwei Xiao
  80. 80 Strong approximation for the Markoff equation via nonabelian level structures...- William Chen
  81. 81 Effective height bounds for odd-degree totally real points on some curves - Levent Alpoge
  82. 82 On the locally analytic vectors of the completed cohomology of modular curves - Lue Pan
  83. 83 An explicit supercuspidal local Langlands correspondence - Tasho Kaletha
  84. 84 Representations of p-adic groups and applications - Jessica Fintzen
  85. 85 Heights and dynamics over arbitrary fields - Carney Alexander
  86. 86 An asymptotic version of the prime power conjecture for perfect difference sets - Sarah Peluse
  87. 87 New constraints on the Galois configurations of algebraic integers.. - Vesselin Dimitrov
  88. 88 Dynamical generalizations of the Prime Number Theorem and...disjointness of... -Florian Richter
  89. 89 Joint equidistribution of adelic torus orbits and families of twisted L-functions - Farrell Brumley
  90. 90 A geometric view on Iwasawa theory - Mladen Dimitrov
  91. 91 On triple product L functions - Jayce Robert Getz
  92. 92 Eulerianity of Fourier coefficients of automorphic forms - Henrik Gustafsson
  93. 93 Local-global compatibility in the crystalline case - Ana Caraiani
  94. 94 On the Kudla-Rapoport conjecture - Chao Li
  95. 95 Density conjecture for horizontal families of lattices in SL(2) - Mikolaj Fraczyk
  96. 96 A p-adic monodromy theorem for de Rham local systems - Koji Shimizu
  97. 97 Moduli spaces of shtukas over function fields - Jared Weinstein
  98. 98 Eisenstein series and the cubic moment for PGL(2) - Paul Nelson
  99. 99 Canonical integral models of Shimura varieties - George Pappas
  100. 100 A slice or two of a diagonal cubic: arithmetic stratification via the circle method - Trevor Wooley
  101. 101 Taking the Hecke algebra to its limits - Raphael Steiner
  102. 102 Singularities in reductions of Shimura varieties -Thomas Haines
  103. 103 How does the rank of an elliptic curve grow in towers of number fields? - Florian Sprung
  104. 104 Singular moduli for real quadratic fields - Jan Vonk
  105. 105 Local aspects of Venkatesh's thesis - Yiannis Sakellaridis
  106. 106 Singularities of Teichmueller harmonic map flow - Melanie Rupflin
  107. 107 Derived structures controlling representations - Carl Wang-Erickson
  108. 108 An Application of a Conjecture of Mazur-Tate to Supersingular Elliptic Curves - Emmanuel Lecouturier
  109. 109 Upper bounds for constant slope p-adic families of modular forms -John Bergdall
  110. 110 Slopes in eigenvarieties for definite unitary groups - Lynnelle Ye
  111. 111 The Lucky Logarithmic Derivative - Will Sawin
  112. 112 Irreducible components of affine Deligne-Lusztig varieties and orbital integrals - Rong Zhou
  113. 113 Explicit formulae for Stark Units and Hilbert's 12th problem - Samit Dasgupta
  114. 114 Towards a p-adic Deligne--Lusztig theory - Charlotte Chan
  115. 115 A converse to a theorem of Gross--Zagier, Kolyvagin and Rubin, II - Ashay Burungale
  116. 116 Algorithms for the topology of arithmetic groups and Hecke actions II - Michael Lipnowski
  117. 117 Non-spherical Poincaré series, cusp forms and L-functions for GL(3) - Jack Buttcane
  118. 118 Summation formulae and speculations on period integrals attached to triples... - Jayce Getz
  119. 119 The Weyl law for algebraic tori - Ian Petrow
  120. 120 On the long-term dynamics of nonlinear dispersive evolution equations - Wilhelm Schlag
  121. 121 Automorphy for coherent cohomology of Shimura varieties - Jun Su
  122. 122 Locally symmetric spaces: pp-adic aspects - Laurent Fargues
  123. 123 Shimura curves and new abc bounds -Hector Pasten
  124. 124 Joint equidistribution of CM points - Ilya Khayutin
  125. 125 On the notion of genus for division algebras and algebraic groups - Andrei Rapinchu
  126. 126 Nonlinear descent on moduli of local systems - Junho Peter Whang
  127. 127 A converse theorem of Gross-Zagier and Kolyvagin: CM case - Ye Tian
  128. 128 Elliptic curves of rank two and generalised Kato classes - Francesc Castella
  129. 129 2∞2∞-Selmer groups, 2∞2∞-class groups, and Goldfeld's conjecture - Alex Smith
  130. 130 Local Global Principles for Galois Cohomology - Julia Hartmann
  131. 131 The pp-curvature conjecture and monodromy about simple closed loops - Ananth Shankar
  132. 132 Congruences between motives and congruences between values of LL-functions - Olivier Fouquet
  133. 133 Basic loci of Shimura varieties - Xuhua He
  134. 134 Galois Representations for the general symplectic group - Arno Kret
  135. 135 On small sums of roots of unity - Philipp Habegger
  136. 136 The Hasse-Weil zeta functions of the intersection cohomology... - YihangZhu
  137. 137 Rational curves on elliptic surfaces - Douglas Ulmer
  138. 138 Standard conjecture of Künneth type with torsion coefficients - Junecue Suh
  139. 139 Low-lying, fundamental, reciprocal geodesics - Alex Kontorovich
  140. 140 Vanishing cycles and bilinear forms - Will Sawin
  141. 141 Cycles on the moduli of Shtukas and Taylor coefficients of L-functions - Zhang
  142. 142 Decoupling in harmonic analysis and the Vinogradov mean value theorem - Bourgain
  143. 143 Modularity and potential modularity theorems in the function field setting - Harris
  144. 144 Geometric deformations of orthogonal and symplectic Galois representations - Jeremy Booher
  145. 145 From local class field theory to the curve and vice versa - Laurent Fargues
  146. 146 Motivic cohomology actions and the geometry of eigenvarieties - David Hansen
  147. 147 Spectral summation formulae and their applications - Valentin Blomer

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