Alladi Ramakrishnan Hall

Bergman kernels and cusp form

Anilatmaja Aryasomayajula

IISER Tirupati

In this talk, we discuss estimates of the Bergman kernel associated to the cotangent bundle defined over a hyperbolic Riemann surface. Furthermore, we discuss how estimates of the Bergman kernel lead to estimates of cusp forms, and Fourier coefficients of cusp forms.