Hilbert Spaces of Square Integrable Holomorphic Functions

Explore the fascinating world of square integrable holomorphic functions in this 57-minute mathematics colloquium talk by Dror Varolin from Stony Brook University. Delve into the historical roots of the subject, tracing back to Bergman's systematic studies in the 1920s, and discover how this field has evolved to intersect with various areas of complex analysis and geometry. Gain insights into recent developments, particularly focusing on the study of how these spaces transform under structural deformations. Survey a curated selection of notable results in the field, offering a glimpse into the multifaceted nature of Hilbert spaces of square integrable holomorphic functions. Engage with this advanced mathematical topic as Varolin presents his favorite findings, providing a comprehensive overview suitable for those with a strong background in complex analysis and functional analysis.