Coursera Flash Sale
40% Off Coursera Plus for 3 Months!
Grab it
Explore concrete examples of harmonic Maass forms of half-integral weight in this 76-minute conference talk delivered at the International Centre for Theoretical Sciences. Delve into specific instances and constructions of these mathematical objects, which serve as generalizations of classical modular forms and play crucial roles in understanding Ramanujan's mock theta functions. Learn how these forms connect to various areas of mathematics including number theory, partition theory, and representation theory through detailed examples and mathematical demonstrations. Gain insights into the structural properties and applications of half-integral weight harmonic Maass forms, building upon the foundational framework established by Zwegers, Bruinier, and Funke for understanding Ramanujan's mysterious mock theta functions. This presentation forms part of a comprehensive discussion meeting focused on harmonic Maass forms, mock modular forms, and their wide-ranging applications across mathematics and theoretical physics.
