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