Elliptic Curves and Modular Forms in Arithmetic Geometry

Ashay a. Burungale, shinichi kobayashi and kazuto ota, on the tate-shafarevich groups of cm elliptic curves over anticyclotomic zp-extensions at inert primes. Francesc castella, nonvanishing of generalised kato classes and iwasawa main conjectures.- henri darmon and alice pozzi, flach classes and generalised hecke eigenvalues.- samit dasgupta, on constructing extensions of residually isomorphic characters.- christopher deninger and michael wibmer, on the proalgebraic fundamental group of topological  spaces and amalgamated products of affine group schemes.- michele fornea and lennart gehrmann, non-archimedean plectic jacobians.- francesca gatti and victor rotger, a p-adic gross-zagier formula for the triple p-adic l-function at non-crystalline points.- chan-ho kim, on the anticyclotomic mazur–tate conjecture for elliptic curves with supersingular reduction.- daniel kriz, the bertolini-darmon-prasanna p-adic l-function via qdr-expansions.- yifeng liu, anticyclotomic p-adic l-functions for rankin–selberg product.- david loeffler, robert rockwood, and sarah livia zerbes, spherical varieties and p-adic families of cohomology classes.- marco adamo seveso, reciprocity laws for generalized heegner classes.- matteo tamiozzo, congruences of modular forms and modularity of tate–shafarevich classes.