AMS Fall Eastern Sectional Meeting 2020

Special Session on Drinfeld Modules, Modular Varieties and Arithmetic Applications

Organizers:

Mihran Papikian, Pennsylvania State University

Dinesh Thakur, University of Rochester

Saturday October 3, 2020

• 8:00 a.m.
  The generic monodromy of Drinfeld modular varieties in special characteristic.
  Gebhard Böckle, University of Heidelberg, Germany
  Florian Breuer*, University of Newcastle, Australia

• 8:30 a.m.
  On analogues of modular units for the moduli stack of Drinfeld shtukas.
  Zhiyuan Ding*, Kavli IPMU, The University of Tokyo

• 9:00 a.m.
  Fields of definition for Drinfeld modular forms of higher rank and their u-expansions.
  Dirk Basson*, Stellenbosch University

• 9:30 a.m.
  Uniformization of generalized D-elliptic sheaves.
  Özge Ülkem*, University of Heidelberg

• 11:00 a.m.
  Sturm bounds for Drinfeld-type automorphic forms over function fields.
  Cecile Armana*, Universite de Franche-Comte
  Fu-Tsun Wei, National Tsing-Hua University

• 11:30 a.m.
  On class number relations and intersections over function fields.
  Fu-Tsun Wei*, National Tsing Hua University

• 12:00 p.m.
  Hyperderivatives on Drinfeld cusp forms via representation theory.
  Peter Graef*, University of Heidelberg

• 12:30 p.m.
  Toward a Maeda Conjecture for Drinfeld Modular Forms.
  Gebhard Boeckle, IWR, U. Heidelberg, Germany
  Peter Graef, IWR, U. Heidelberg
  Rudolph Perkins*, Cuyamaca College

• 3:00 p.m.
  An Equivariant Tamagawa Number Formula for Drinfeld Modules and Applications.
  Cristian D Popescu*, University of California, San Diego

• 3:30 p.m.
  Algebraic Independence of Zeta Values of Function Fields of Elliptic Curves and General Genus Curves.
  Nathan Green*, UCSD
  Tuan Ngo Dac, Université Claude Bernard Lyon 1, Institut Camille Jordan

• 4:00 p.m.
  Surjectivity of the adelic Galois representation associated to a Drinfeld Module of prime rank.
  Chien-Hua Chen*, Penn State University

• 4:30 p.m.
  Traces of singular moduli over the rational function field.
  Ahmad El-Guindy, Cairo University
  Riad Masri, Texas A&M University
  Matthew Papanikolas*, Texas A&M University
  Guchao Zeng, Texas A&M University at Qatar

Sunday October 4, 2020

• 8:00 a.m.
  Analytic Homomorphisms into t-Modules Revisited.
  Jing Yu*, National Taiwan University/National Tsing-0Hua University

• 8:30 a.m.
  Trivial multiple zeta values over Tate algebras.
  Oguz Gezmis*, National Tsing Hua University
  Federico Pellarin, Institut Camille Jordan

• 9:00 a.m.
  A class formula for Drinfeld modules.
  Floric Tavares Ribeiro*, Universite de Caen-Normandie (France)

• 9:30 a.m.
  Log-algebraicity and characteristic p multiple zeta values.
  Tuan Ngo Dac*, CNRS - Universite Claude Bernard Lyon 1
  Nathan Green, University of California, San Diego (UCSD)

• 11:00 a.m.
  On Drinfeld modular forms with values in Tate algebras.
  Federico Pellarin*, University Jean Monnet, Saint-Etienne

• 11:30 a.m.
  Wild inertia of Drinfeld modules and t-motives.
  M Mornev*, ETH Zürich

• 12:00 p.m.
  Torsion fields of Drinfeld modules.
  Ernst-Ulrich Gekeler*, Universität des Saarlandes

• 12:30 p.m.
  Taylor coefficients of Anderson generating functions.
  Andreas Maurischat*, FH Aachen University of Applied Sciences

• 3:00 p.m.
  Manin-Drinfeld cycles and L-functions.
  Ari Shnidman*, Hebrew University

• 3:30 p.m.
  Modular Identities of Hypergeometric Type.
  Ahmad M El-Guindy*, Dept. of Mathematics, Faculty of Science, Cairo University

• 4:00 p.m.
  The growth of the discriminant of the endomorphism ring of the reduction of a rank 2 generic Drinfeld module.
  A.C. Cojocaru*, University of Illinois at Chicago, USA
  Mihran Papikian, Pennsylvania State University