Jan-Willem van Ittersum (Cologne) Abstract: There are several instances where Gromov-Witten invariants can be expressed in terms of (quasi)Jacobi forms. In other examples in enumerative geometry, one also encounters mock … Continue reading Jacobi forms, mock modular forms and qMZVs in enumerative geometry →

Sören Sprehe (Universität Bielefeld) Around six years ago Darmon and Vonk initiated the theory of p-adic singular moduli for real quadratic fields by defining “rigid meromorphic cocycles". These are elements … Continue reading Antisymmetry in the theory of rigid meromorphic cocycles →

Ludwig Modin (Leibniz Universität Hannover): Moduli spaces for Theta-strata and non-reductive quotients

Laure Flapan (Michigan State University): Cones of Noether-Lefschetz divisors and moduli of hyperkähler manifolds

Tomoyoshi Ibukiyama, Professor Emeritus Department of Mathematics Graduate School of Science, Osaka University A theory of differential operators on automorphic forms which preserve automorphy after restrictions of the domains have … Continue reading Differential operators on automorphic forms, special functions, and arithmetic applications →

Prof. Dr. Florian Breuer (University of Newcastle) For every positive integer $N$, the modular polynomial $\Phi_N(X,Y)$ has integer coefficients and vanishes precisely at pairs of $j$-invariants of elliptic curves linked … Continue reading Heights of modular polynomials →

Qaasim Shafi (Heidelberg) An old theorem, due to Mikhalkin, says that the number of rational plane curves of degree d through 3d-1 points is equal to a count of tropical … Continue reading Tropical refined curve counting and mirror symmetry →