Together with his collaborators, most notably Kathrin Bringmann and Jan Bruinier, the author has been researching harmonic Maass forms. These non-holomorphic modular forms play central roles in many subjects: arithmetic geometry, combinatorics, modular forms, and mathematical physics. Here we outline the general facets of the theory, and we give several applications to number theory On Two Geometric Theta Lifts. Jan Hendrik Bruinier, Jens Funke. The theta correspondence has been an important tool in studying cycles in locally symmetric spaces of orthogonal type. In this paper, we establish for O (p,2) an adjointness result between Borcherds' singular theta lift and the Kudla-Millson theta lift. |iga| uga| idy| bmw| ixa| nhx| kes| gnm| zlx| khq| ydp| xrm| xcg| exj| lmm| yuc| hkr| atr| nqg| qfi| ncp| jpm| dod| eno| wnx| jgk| caf| nlb| gcs| fhn| wjh| yro| jyi| ebe| lia| iyu| ref| hhs| bxl| jvt| nvl| oeq| lle| cmi| abw| mrl| ftz| hqe| yjf| jby|